DATA ANALYSIS OF NATURAL VENTILATION IN A FIRE IN TUNNEL.

Size: px
Start display at page:

Download "DATA ANALYSIS OF NATURAL VENTILATION IN A FIRE IN TUNNEL."

Transcription

1 DATA ANALYSIS OF NATURAL VENTILATION IN A FIRE IN TUNNEL. ABSTRACT. Giuli G., Giorgiantoni G., Zampetti P. ENEA (The Italian Committee for the New Technologies, for Energy and the Environment) It is known that the availability of jet fans in tunnels assures a higher safety degree in the longitudinal ventilation pattern. But these installations have a remarkable cost, especially if the number of tunnels is high. In this paper, we want to explore the behaviour of the natural ventilation in presence of fire in tunnel in those cases in which a favourable slope occurs. Another issue is the emergency management. The study was performed on the basis of the experimental data supplied from Memorial Tunnel Fire Ventilation Program. The analysis is made on the two natural ventilation tests available in this Program. A comparison with the Memorial Tunnel tests which have forced longitudinal ventilation patterns is made to understand how effective the behaviour of natural ventilation is. The analysis has been carried out considering the (P/) ratio between fire power P and air flow. This ratio is a parameter which gives a better information, about the danger of a situation, in comparison with the simple fire power. Moreover, in the ventilated tunnel, the P/ ratio is a function of the power P released by the fire, that is substantially independent of our action, and the air flow which depends on our action. Key words: tunnels, fire in tunnels, data analysis, ventilation, safety 1. MEMORIAL TUNNEL DESCRIPTION The Memorial Tunnel (MT) (MTFVTP, 1995), in fig. 1a, is a two-lanes 853 m long straight motorway tunnel with a medium slope of 3,2 % from the north to the south portal. 4,94 m (a) N o r t h R O O M ,2 m ,35 m ,2 % 615 Forced flow Loop 35 4 pans Loop ,7 m R O O M 7.86 m S o u t h LOOP 35 3,66 m 5 MW 2 LOOP MW 25 1 MW 3 MW LOOP 34 (b) Figure 1. (a) Schematic overview of the Memorial Tunnel. MT is characterized by a slope of 3,2 % and by unusual obstructions on the ends, due to the two rooms. In the natural ventilation tests the 15 Fans are not provided. (b) Map of the pans layout with position of the near instrumentation loops. In each loop, 8 measurements are taken at 8 different vertical levels International Conference Tunnel Safety and Ventilation 24, Graz

2 The full section is 6,4 m 2. On the ends two unusual obstructions (rooms), are present. Fifteen jet-fans are provided inside the tunnel in group of three for the longitudinal ventilation experimental phase. The fire is generated by means of fuel floating on filled pans placed about 24 m far from the south portal. Four pans, shown in fig. 1b, allow to achieve fires from 1 to 1 MW. During the natural ventilation (NV), the jet fan are not provided. 2. TREND OF THE TWO NATURAL VENTILATED TESTS The analysis was undertaken elaborating the experimental data of Memorial Tunnel Fire Ventilation Program (MTFVTP, 1995). At the beginning of the analysis of the longitudinal ventilation on the MT tests, our concern was not to create too many graphs that might ingenerate confusion. We had 17 tests to observe with many measured variables in the time and in the space. Then the intention was to create few graphs with the more possible useful information for our considerations. Thus, to evaluate the situation, we realized to observe the maximum temperature just few meters downstream of the fire exactly at the 35 loop (fig 1) for NV and 34 loop for forced ventilation (FV). The longitudinal forced ventilation tests were already analysed in (Giuli, 23). Here the trend of this maximum temperature versus time, is observed, as reported in figg. 2(a) (2 MW) and 2(b) (5 MW) for the two NV tests. This maximum temperature T max, measured downstream, is every time observed at the highest level on the loop 35. The fire power P (MW) and the air flow (m 3 /s) are reported in the same graph. is taken near the south portal upstream, where density is determined, to avoid the influence of the temperature. Thus, in every instant, has substantially always the same density Observation on the 2 MW NV test In fig. 2(a) we observe that, from the fifth minute to the end, the air flow changes from ~32 m 3 /s to ~9 m 3 /s, while T max decreases (due to the increased flow) of only about 1%. Another observation is that the maximum temperature seems to be low, considering the low air flow rate, respect to the FV tests (Giuli, 23). For comparison, one of the four 2 MW forced ventilation tests is reported in fig. 3(a) Observation on the 5 MW NV test In fig. 2(b) it is observed that the flow rate has no regular increase and has an average value of 65 m 3 /s, that is smaller than the other FV tests with the same power. Here the maximum temperature is very high, for this delivered power, due to the small natural flow. For comparison, one of the five 5 MW forced ventilation tests is reported in fig. 3(b). 3. COMPARISON OF NATURAL AND FORCED VENTILATED TESTS A comparison has been made with the FV tests analysed in (Giuli, 23) to understand better the behaviour of the NV tests. The measured data for natural and forced ventilation are represented in fig. 4. In this figure the P/ [kj/m 3 ] ratio is reported on the X-axis and the maximum T measured on the loop downstream (35 for NV and 34 for FV) is reported on the Y-axis. In each test T max, P and are measured every 3 seconds; is read near the portal where the air is incoming in the tunnel. Instead of representing all the points taken every thirty seconds, the time averaged maximum temperatures T max for each test is reported; the same time averages are made for the values of P/. International Conference Tunnel Safety and Ventilation 24, Graz

3 MW m 3 /s NV test 51nat 51 2 (2 MW MW) - P : P, : T, Tmax C 33, 3 T max MW m 3 /s NV test 52nat 52 5 (5 MW MW) C - P : P, : T, Tmax 22, 8 T max 22, P 2 11, 1 (a),, 1, 2, minuti 11, 4 (b) P,, 1, minuti Figure 2. NATURAL Ventilated tests. Trend vs time of: air flow, power P, and T max at few meters downstream. (a) 2 MW test. The is reported in absolute value. It goes in direction of the stack effect except for the first 2 initial minutes where it goes from north to south. (b) 5 MW test. This test is stopped after only 15 minutes.. MW m 3 /s FV test (2 MW MW) - P : : P, T, C Tmax 2525, , T max , , , 1, 4, 4 14, , min m No. JF N JF 6 P (a) (b) MW m 3 /s C FV test 61 (5 MW) P,, Tmax 22, 61 5 MW - P : : T 8 T max 1, P, 4, 4 14, 24,min No.JF N min m min m Figure 3. FORCED Ventilated tests. Trend vs time of: air flow, power P, and T max at few meters downstream. (a) 2 MW test with the No. of JF in operation. (b) 5 MW test with the No. of JF in operation The time average is calculated until the shut-off, having discarded the initial transient (usually the initial two-four minutes of the time interval). In the graph the dashed straight line represents the temperature of an air flow rate [m 3 /s], at the initial temperature T, which absorbs the total power P [W] reaching an uniform temperature T [ C] according to the following well known law: 1 P T = T + (1) c ρ where: ρ [kg/m 3 ] = air density at T ; c p [J/(kg C)] = air specific heat. From fig. 4 we can see that FV tests points are distributed in an approximately linear mode, parallel at the dashed line which represents eq. (1). The two triangular symbols ( ) related to NV are not aligned with the forced ventilation series. p International Conference Tunnel Safety and Ventilation 24, Graz

4 Analysing the position of 5 MW NV point, it is recognized that this is the one at the highest P/ value among the 5 MW cases due to the low value. Moreover we see that, while the FV points are shifted from the straight line of about 2 C, the NV point is shifted of about 4 C. This large shift is caused by a strong stratification. Using the same considerations, the -point of 2 MW NV test is expected at about 5 C instead of 3 C observed in fig. 4. This different behaviour will be analysed in the next section. C C T max 1 8 Naturally Ventilated MW 5 MW 2 MW 1 MW P/ [kj/m 3 ] kj/m3 Figure 4. Time averaged downstream maximum temperature T max, vs P/ ratio for all tests. The two NV tests are shown with a big D. The dashed line represents eq. (1) 4. ANALYSIS OF THE TEMPERATURE FIELD AND VELOCITY PROFILE In this section, the temperature fields and the velocity profiles for the two NV tests are analysed and compared with the FV tests. It will be seen how much the velocity profile is important for the heat transport Analysis of 2 MW test The fig 5, directly extracted from (MTFVTP, 1995), shows the instantaneous situation at 1 minutes from the fire start for the 2 MW NV test. The flow rate is 53,3 m 3 /s and the fire power is 13,6 MW. In fig. 6 the situation at 22 minutes is shown for the same test, with a flow rate of 86,3 m 3 /s and a fire power of 1,5 MW. In the two situations the fields of temperature are similar, with a maximum value of about 3 C, notwithstanding that in the first case the flow rate is less and the power is larger than in the second case. This behaviour is due to the different velocity profiles of the flow. Comparing the two marked profiles (figg. 5 and 6) we can see, in first case, that the negative velocity near the floor, concentrates the positive mass flow in the zone at the highest temperatures. So this positive mass flow has a larger energy density respect to the second case. So the lower mass flow of fig. 5 is enough to transport an even larger power respect to the situation of fig 6. In order to better understand the phenomena, a forced test of nominal 2 MW is shown in fig. 7 at the time of 9 5 from the start. The maximum temperature is about 3 C, as in the NV test and the power is 12,4 MW, about the same of fig. 5. The velocity profile is flatter than the profile of fig 6 and the flow rate is larger than the one in the NV test. International Conference Tunnel Safety and Ventilation 24, Graz

5 ,3= m 3 /s Extracted from (MTFVTP, 1995) Figure 5. 2 MW - NATURAL ventilated test after 1 minutes. The marked velocity profile on the 35 loop, just few meters downstream the fire, shows a peak near the ceiling 86,3= m 3 /s Extracted from (MTFVTP, 1995) Figure 6. 2 MW - NATURAL ventilated test after 22 minutes. The marked velocity profile on the 35 loop, just few meters downstream the fire, tends to a flat profile due to the higher flow rate International Conference Tunnel Safety and Ventilation 24, Graz

6 =135,5 m 3 /s Extracted from (MTFVTP, 1995) Figure 7. 2 MW - FORCED ventilated test. The marked velocity profile on the 34 loop, just few meters downstream the fire. This is the typical profile of all forced ventilated tests observed at this loop To show the importance of the velocity profile geometry, the counterflow profile marked in fig. 5 is represented in fig. 8(a) and is compared with a supposed flat velocity profile with the same total mass flow, represented in fig 8(b). Let us divide the total mass flow rate crossing 35-section in 3 subsections: M B, +M B, M 35 (fig. 8a). M B (backwards flow) and +M B have the same absolute value, so the remaining flow section M 35 is the total mass flow rate. experimental velocity profile theoretical flat velocity profile M C 275 C 229 C 33 C 275 C 229 C 178 C M C + M B 38 C 87 C velocity profile 87 C 38 C 3 C 28 C - M B (a) (b) 3 C 28 C Figure 8. Comparison between different velocity profiles. (a) Experimental counterflow profile. (b) A supposed flat profile with the same mass flow rate M 35 [kg/s] of the experimental test. Notwithstanding the mass flow rates are equal, in the case (a) more than 3 times the heat power of the case (b) is transported. International Conference Tunnel Safety and Ventilation 24, Graz

7 Calculating, in both cases, the heat that crosses the section 35, we see that in the (a) case the transported heat is more than 3 times respect to the (b) case. In fact the average temperature of the flux of the (b) case is about 9 C. Instead from the calculation of the only grey flow M 35 in case (a) the average temperature is about 25 C. Taking into account that the reference environment temperature at the inlet portal is 1 C the M 35 flux in the case (a) carries exactly 3 times the power of the case (b). Moreover, in case (a), the two fluxes M B and +M B, have to be considered. Even if they do not carry any mass, they carry some power due to the different temperatures of the two fluxes. If we impose. in the case (b), the same carried power as in (a), instead of the same mass flow rate, we need a mass flow about 3 times that in (a) case. This last consideration may explain the different flow rate between the experimental tests of fig. 7 and fig ,1= m 3 /s Extracted from (MTFVTP, 1995) Figure 9. 5 MW - NATURAL ventilated test. The marked velocity profile on the 35 loop, just few meters downstream the fire, has a peak near the ceiling 4.2. Analysis of 5 MW test As we have observed in the previous fig. 4, T max for the NV test of 5 MW is higher than the corresponding FV test of 5 MW. In fig 9 the instantaneous situation at 1 minutes from the fire start for the 5 MW NV test is shown. The velocity profile is quite flat, unlike the 2 MW NV test (fig. 5-6) and is similar to the profiles of the FV tests. The T max difference between the NV and FV tests of 5 Mw is due to the low NV flow rate (~7 m 3 /s against ~15 m 3 /s for FV) which causes a strong temperature stratification. This stratification with a large T max (~85 C) is observable in fig. 9. International Conference Tunnel Safety and Ventilation 24, Graz

8 CONCLUSIONS As far as the maximum temperature is concerned, the 2 MW NV test has a better behaviour (T max is a bit lower than the corresponding FV test) than the 5 MW NV test (T max is much higher than the corresponding FV test). This better behaviour is due to the counterflow velocity profile downstream the fire, at loop 35, and it seems induced, by a small flow rate. A fire with large power, generating a large natural flow, tends to have a flat velocity profile. Analysing all the data of the two NV tests, we observe that the counterflow velocity profile is present below a flow rate 6 65 m 3 /s. It should be interesting to evaluate other experimental results on natural ventilation, to confirm these observation. REFERENCES MTFVTP, Memorial Tunnel Fire Ventilation Test Program (1995). Interactive CD-ROM and Test Report, Massachusetts Highway Department & Bechtel/Parsons Brinckerhoff, Massachusetts G.Giuli, G.Giorgiantoni, P.Zampetti (23) Analysis of Fire Test Measurement in an Experimental Tunnel. Tunnel Management International, Vol. 6, issue 3 International Conference Tunnel Safety and Ventilation 24, Graz

Sprint a design tool for fire ventilation

Sprint a design tool for fire ventilation Sprint a design tool for fire ventilation I RIESS, M BETTELINI, and R BRANDT HBI Haerter AG, Zürich, Switzerland A new one-dimensional time-dependent computer model for analysing fire scenarios in tunnels

More information

CFD MODEL FOR TRANSVERSE VENTILATION SYSTEMS

CFD MODEL FOR TRANSVERSE VENTILATION SYSTEMS CFD MODEL FOR TRANSVERSE VENTILATION SYSTEMS Sam S. Levy, Jason R. Sandzimier, Norris A. Harvey, Elana M. Rosenbluth Parsons Brinckerhoff One Penn Plaza New York, NY 9 USA Kailash C. Karki, Suhas V. Patankar

More information

THE IMPACT OF CONTROLLABILITY ON THE DIMENSIONING OF SMOKE EXTRACTION SYSTEMS FOR BIDIRECTIONAL TRAFFIC ROAD TUNNELS

THE IMPACT OF CONTROLLABILITY ON THE DIMENSIONING OF SMOKE EXTRACTION SYSTEMS FOR BIDIRECTIONAL TRAFFIC ROAD TUNNELS - 35 - THE IMPACT OF CONTROLLABILITY ON THE DIMENSIONING OF SMOKE EXTRACTION SYSTEMS FOR BIDIRECTIONAL TRAFFIC ROAD TUNNELS Abstract Electrowatt Infra, Switzerland To fulfil the requirements of the Swiss

More information

AIR BARRIERS USED FOR SEPARATING SMOKE FREE ZONES IN CASE OF FIRE IN TUNNEL

AIR BARRIERS USED FOR SEPARATING SMOKE FREE ZONES IN CASE OF FIRE IN TUNNEL - 110 - AIR BARRIERS USED FOR SEPARATING SMOKE FREE ZONES IN CASE OF FIRE IN TUNNEL Gregory Krajewski 1 1 Building Research Institute Fire Research Department, Poland ABSTRACT The aim of this paper is

More information

POSTER PAPER PROCEEDINGS

POSTER PAPER PROCEEDINGS ITA - AITES WORLD TUNNEL CONGRESS 21-26 April 2018 Dubai International Convention & Exhibition Centre, UAE POSTER PAPER PROCEEDINGS Flow and temperature characteristics around a burning car in a long tunnel

More information

20.1 Xenon Production Xe-135 is produced directly in only 0.3% of all U-235 fissions. The following example is typical:

20.1 Xenon Production Xe-135 is produced directly in only 0.3% of all U-235 fissions. The following example is typical: 20 Xenon: A Fission Product Poison Many fission products absorb neutrons. Most absorption cross-sections are small and are not important in short-term operation. Xenon- has a cross-section of approximately

More information

Study on critical velocity in the sloping tunnel fire under longitudinal ventilation

Study on critical velocity in the sloping tunnel fire under longitudinal ventilation Topic: T2.1 Design and Innovation Reference number: 1088 Study on critical velocity in the sloping tunnel fire under longitudinal ventilation Xin-ling Lu 1, Miao-cheng Weng 1,2,3, *, Fang Liu 1,2,3 1.

More information

FIRE PROPERTIES WITH LONGITUDINAL VENTILATION IN A TUNNEL

FIRE PROPERTIES WITH LONGITUDINAL VENTILATION IN A TUNNEL FIRE PROPERTIES WITH LONGITUDINAL VENTILATION IN A TUNNEL Y. Oka a, H. Kurioka b, H. Satoh b, and O. Sugawa c a. Department of Safety Engineering, Yokohama National University b. Kajima Technical Research

More information

Section 11.1 Distance and Displacement (pages )

Section 11.1 Distance and Displacement (pages ) Name Class Date Section 11.1 Distance and Displacement (pages 328 331) This section defines distance and displacement. Methods of describing motion are presented. Vector addition and subtraction are introduced.

More information

The Critical Velocity for Smoke Control

The Critical Velocity for Smoke Control The Critical Velocity for Smoke Control Dr Fathi Tarada Managing Director, Mosen Ltd Chief Executive, HBI Haerter Ltd Bill Kennedy Bill Kennedy was a leading thinker in the area of critical velocity Application

More information

2/18/2019. Position-versus-Time Graphs. Below is a motion diagram, made at 1 frame per minute, of a student walking to school.

2/18/2019. Position-versus-Time Graphs. Below is a motion diagram, made at 1 frame per minute, of a student walking to school. Position-versus-Time Graphs Below is a motion diagram, made at 1 frame per minute, of a student walking to school. A motion diagram is one way to represent the student s motion. Another way is to make

More information

AP Physics Free Response Practice Dynamics

AP Physics Free Response Practice Dynamics AP Physics Free Response Practice Dynamics 14) In the system shown above, the block of mass M 1 is on a rough horizontal table. The string that attaches it to the block of mass M 2 passes over a frictionless

More information

VALIDATION OF CONTAINER ANALYSIS FIRE ENVIRONMENT (CAFE) CODE FOR MEMORIAL TUNNEL FIRE VENTILATION TEST PROGRAM

VALIDATION OF CONTAINER ANALYSIS FIRE ENVIRONMENT (CAFE) CODE FOR MEMORIAL TUNNEL FIRE VENTILATION TEST PROGRAM Proceedings of the ASME 21 Pressure Vessels and & Piping Division / K-PVP Conference PVP21 July 18-22, 21, Bellevue, Washington, USA PVP21-2 PVP21-2675 VALIDATION OF CONTAINER ANALYSIS FIRE ENVIRONMENT

More information

Position-versus-Time Graphs

Position-versus-Time Graphs Position-versus-Time Graphs Below is a motion diagram, made at 1 frame per minute, of a student walking to school. A motion diagram is one way to represent the student s motion. Another way is to make

More information

Fan Manufacturer Sound Power Data: Trust but Verify

Fan Manufacturer Sound Power Data: Trust but Verify Fan Manufacturer Sound Power Data: Trust but Verify Erich Thalheimer, Rob Greene and Jacob Poling, Parsons Brinckerhoff, Boston, Massachusetts This article describes the extensive efforts and important

More information

FLUID TEMPERATURE MEASUREMENTS FOR A HOT JET IN CONFINED CROSS-FLOW

FLUID TEMPERATURE MEASUREMENTS FOR A HOT JET IN CONFINED CROSS-FLOW ISFV14-14 th International Symposium on Flow Visualization June 21-24, 2010, EXCO Daegu, Korea FLUID TEMPERATURE MEASUREMENTS FOR A HOT JET IN CONFINED CROSS-FLOW Gallo M.*, Kunsch J. P. and Rösgen T.

More information

THE TREATMENT OF THE THROTTLING EFFECT IN INCOMPRESSIBLE 1D FLOW SOLVERS

THE TREATMENT OF THE THROTTLING EFFECT IN INCOMPRESSIBLE 1D FLOW SOLVERS - 141 - THE TREATMENT OF THE THROTTLING EFFECT IN INCOMPRESSIBLE 1D FLOW SOLVERS C. Fleming, G. Clark, K. Meeks; Atkins Ltd, UK T. Wicht; HBI Haerter, Switzerland ABSTRACT This paper is concerned with

More information

PHYS 101 Previous Exam Problems. Kinetic Energy and

PHYS 101 Previous Exam Problems. Kinetic Energy and PHYS 101 Previous Exam Problems CHAPTER 7 Kinetic Energy and Work Kinetic energy Work Work-energy theorem Gravitational work Work of spring forces Power 1. A single force acts on a 5.0-kg object in such

More information

USE OF VENTURI JETS LOCATED OUT OF TUNNELS FOR THEIR VENTILATION DURING THE PERIODS OF TUNNELING COMPLETION OR AT THEIR RECONSTRUCTION

USE OF VENTURI JETS LOCATED OUT OF TUNNELS FOR THEIR VENTILATION DURING THE PERIODS OF TUNNELING COMPLETION OR AT THEIR RECONSTRUCTION - 181 - USE OF VENTURI JETS LOCATED OUT OF TUNNELS FOR THEIR VENTILATION DURING THE PERIODS OF TUNNELING COMPLETION OR AT THEIR RECONSTRUCTION 1 S. G. Gendler, 2 E. A. Savenkov 1 National mineral resource

More information

FAN TERMINOLOGY. t = 1.2 kg/m 3 (Standard air density at 20 C and 1013mb. V = duct air velocity, m/s.

FAN TERMINOLOGY. t = 1.2 kg/m 3 (Standard air density at 20 C and 1013mb. V = duct air velocity, m/s. +7 (0)1 55 1077 +7 (0)1 55 797 FAN TERMINOLOGY These notes are designed to explain some of the terms that are used in describing the characteristics of fans and the relationship between the fan performance

More information

Smoke control in case of fire in a large car park: CFD Simulations of Full-Scale Configurations

Smoke control in case of fire in a large car park: CFD Simulations of Full-Scale Configurations Smoke control in case of fire in a large car park: CFD Simulations of Full-Scale Configurations X. Deckers 1,2, S. Haga 1,3, N. Tilley 1 and B. Merci 1 1 Ghent University, Dept. Flow, Heat and Combustion

More information

AAPT UNITED STATES PHYSICS TEAM AIP 2016

AAPT UNITED STATES PHYSICS TEAM AIP 2016 2016 USA Physics Olympiad Exam 1 AAPT UNITED STATES PHYSICS TEAM AIP 2016 USA Physics Olympiad Exam DO NOT DISTRIBUTE THIS PAGE Important Instructions for the Exam Supervisor This examination consists

More information

Lab: Energy-Rubber Band Cannon C O N C E P T U A L P H Y S I C S : U N I T 4

Lab: Energy-Rubber Band Cannon C O N C E P T U A L P H Y S I C S : U N I T 4 Name Date Period Objectives: Lab: Energy-Rubber Band Cannon C O N C E P T U A L P H Y S I C S : U N I T 4 1) Find the energy stored within the rubber band cannon for various displacements. 2) Find the

More information

Fire-induced ceiling jet characteristics in tunnels under different ventilation conditions

Fire-induced ceiling jet characteristics in tunnels under different ventilation conditions SP Technical Research Institute of Sweden Fire-induced ceiling jet characteristics in tunnels under different ventilation conditions Ying Zhen Li, Haukur Ingason BRANDFORSK Project 306-131 Fire Research

More information

Flowmeter Discharge Coefficient Estimation

Flowmeter Discharge Coefficient Estimation Bankston 1 Flowmeter Discharge Coefficient Estimation Elizabeth Bankston Team 1 Abstract An Edibon FME18 Flow Meter demonstration system was used to obtain experimental values for this experiment. The

More information

One-Dimensional Motion

One-Dimensional Motion One-Dimensional Motion Motion Terms SI Units Scalar Quantities Average and Instantaneous Speed v = d/t Linear Motion Velocity Position and Displacement Position-Time and Velocity- Time Graphs Motion Terms

More information

Study on Train Obstruction Effect on Smoke Control near Tunnel Cross-Passage

Study on Train Obstruction Effect on Smoke Control near Tunnel Cross-Passage Study on Train Obstruction Effect on Smoke Control near Tunnel Cross-Passage Hou Y. S., Li Y. F.*, Li J. M. Beijing University of Technology, College of Architecture and Civil Engineering, Beijing, China

More information

Smoke control in case of fire in a large car park: Full-Scale Experiments

Smoke control in case of fire in a large car park: Full-Scale Experiments Smoke control in case of fire in a large car park: Full-Scale Experiments X. Deckers 1,2, S. Haga 1,3, B. Sette 4 and B. Merci 1 1 Ghent University, Dept. Flow, Heat and Combustion Mechanics, Belgium 2

More information

Thermo-Fluid Dynamics of Flue Gas in Heat Accumulation Stoves: Study Cases

Thermo-Fluid Dynamics of Flue Gas in Heat Accumulation Stoves: Study Cases Thermo-Fluid Dynamics of Flue Gas in Heat Accumulation Stoves: Study Cases P. Scotton 1, *, D. Rossi 1, **, M. Barberi 2, ***, S. De Toni 2, *** 1 University of Padova, Department of Geosciences, Gradenigo

More information

Testing measurements of airflow velocity in road tunnels

Testing measurements of airflow velocity in road tunnels MATEC Web of Conferences 117, 0003 (2017) DOI: 10.101/ matecconf/20171170003 Testing measurements of airflow velocity in road tunnels Peter Danišovič 1,*, Juraj Šrámek 1, Michal Hodoň 2 and Martin Húdik

More information

Chapter 2 Motion in One Dimension

Chapter 2 Motion in One Dimension Chapter 2 Motion in One Dimension Multiple Choice 1. The position of a particle moving along the x axis is given by 2 x = ( 21+ 22t 6 0. t )m, where t is in s. What is the average velocity during the time

More information

To summarize the car s velocity information, let the horizontal axis represent time, and the vertical axis represent velocity.

To summarize the car s velocity information, let the horizontal axis represent time, and the vertical axis represent velocity. To summarize the car s velocity information, let the horizontal axis represent time, and the vertical axis represent velocity. The velocity is constant wherever the slope of the distance-vs-time graph

More information

Drag Forces on Cars. Figure 1: Cars of different shapes

Drag Forces on Cars. Figure 1: Cars of different shapes Drag Forces on Cars Figure 1: Cars of different shapes Purpose: To measure the drag force and the drag coefficient on different car models using a wind tunnel and assess the effects of speed and shape

More information

MODELLING FIRE IN TUNNELS: A LARGE SCALE VALIDATED TWO STEPS MODELLING METHOD

MODELLING FIRE IN TUNNELS: A LARGE SCALE VALIDATED TWO STEPS MODELLING METHOD - 163 - MODELLING FIRE IN TUNNELS: A LARGE SCALE VALIDATED TWO STEPS MODELLING METHOD 1 B. Truchot, 1 G. Leroy, 1 F. Fouillen and 2 Y. Perin 1 INERIS - Verneuil en Halatte, France 2 Conseil Général d Ardèche

More information

INVESTIGATIONS ON SMOKE PROPAGATION WITH LONGITUDINAL VENTILATION BY MEANS OF A MODEL TUNNEL

INVESTIGATIONS ON SMOKE PROPAGATION WITH LONGITUDINAL VENTILATION BY MEANS OF A MODEL TUNNEL INVESTIGATIONS ON SMOKE PROPAGATION WITH LONGITUDINAL VENTILATION BY MEANS OF A MODEL TUNNEL Wilhelm Jessen 1 ; Andreas Klein 2 1 Institute of Aerodynamics Aachen, 2 Institute of Highway Engineering, RWTH

More information

Potential energy and conservation of energy

Potential energy and conservation of energy Chapter 8 Potential energy and conservation of energy Copyright 8.1_2 Potential Energy and Work Potential energy U is energy that can be associated with the configuration (arrangement) of a system of objects

More information

METHODOLOGY (3) where, x o is the heat source separation and α is the. entrainment coefficient α.

METHODOLOGY (3) where, x o is the heat source separation and α is the. entrainment coefficient α. BSO12 First Building Simulation and Optimization Conference Loughborough, UK 10-11 September 2012 MODELLING BUOYANT THERMAL PLUMES IN NATURALLY VENTILATED BUILDINGS Faisal Durrani 1, Malcolm J Cook 2,

More information

ME332 FLUID MECHANICS LABORATORY (PART II)

ME332 FLUID MECHANICS LABORATORY (PART II) ME332 FLUID MECHANICS LABORATORY (PART II) Mihir Sen Department of Aerospace and Mechanical Engineering University of Notre Dame Notre Dame, IN 46556 Version: April 2, 2002 Contents Unit 5: Momentum transfer

More information

1 D motion: know your variables, position, displacement, velocity, speed acceleration, average and instantaneous.

1 D motion: know your variables, position, displacement, velocity, speed acceleration, average and instantaneous. General: Typically, there will be multiple choice, short answer, and big problems. Multiple Choice and Short Answer On the multiple choice and short answer, explanations are typically not required (only

More information

Physics Courseware Physics I

Physics Courseware Physics I Definition of pressure: Force P = Area Physics Courseware Physics I Bernoulli Hydrostatics equation: PB PA = ρgh 1 1 Bernoulli s equation: P 1 + ρv1 + ρgh1 = P + ρv + ρgh Problem 1.- In a carburetor (schematically

More information

A B C D. Unit 6 (1-Dimensional Motion) Practice Assessment

A B C D. Unit 6 (1-Dimensional Motion) Practice Assessment Unit 6 (1-Dimensional Motion) Practice Assessment Choose the best answer to the following questions. Indicate the confidence in your answer by writing C (Confident), S (So-so), or G (Guessed) next to the

More information

Overview: In this experiment we will study the decay of a radioactive nucleus, Cesium. Figure 1: The Decay Modes of Cesium 137

Overview: In this experiment we will study the decay of a radioactive nucleus, Cesium. Figure 1: The Decay Modes of Cesium 137 Radioactivity (Part I and Part II) Objectives: To measure the absorption of beta and gamma rays To understand the concept of half life and to measure the half life of Ba 137* Apparatus: Radioactive source,

More information

Problem: What affect does the force of launch have on the average speed of a straw rocket?

Problem: What affect does the force of launch have on the average speed of a straw rocket? Describing Motion and Measuring Speed A Straw Rocket Lab Background: An object is in motion when its distance from another object is changing. Whether an object is moving or not depends on your point of

More information

STANDING WAVES AND THE INFLUENCE OF SPEED LIMITS

STANDING WAVES AND THE INFLUENCE OF SPEED LIMITS STANDING WAVES AND THE INFLUENCE OF SPEED LIMITS H. Lenz, R. Sollacher *, M. Lang + Siemens AG, Corporate Technology, Information and Communications, Otto-Hahn-Ring 6, 8173 Munich, Germany fax: ++49/89/636-49767

More information

Conjugate heat transfer from an electronic module package cooled by air in a rectangular duct

Conjugate heat transfer from an electronic module package cooled by air in a rectangular duct Conjugate heat transfer from an electronic module package cooled by air in a rectangular duct Hideo Yoshino a, Motoo Fujii b, Xing Zhang b, Takuji Takeuchi a, and Souichi Toyomasu a a) Fujitsu Kyushu System

More information

Runehamar Tunnel Fire Tests

Runehamar Tunnel Fire Tests SP Technical Research Institute of Sweden Runehamar Tunnel Fire Tests Haukur Ingason Anders Lönnermark Ying Zhen Li Fire Technology SP Report 211:55 Runehamar Tunnel Fire Tests Haukur Ingason Anders Lönnermark

More information

Q1. The density of aluminum is 2700 kg/m 3. Find the mass of a uniform solid aluminum cylinder of radius cm and height cm.

Q1. The density of aluminum is 2700 kg/m 3. Find the mass of a uniform solid aluminum cylinder of radius cm and height cm. Coordinator: W. Al-Basheer Sunday, June 28, 2015 Page: 1 Q1. The density of aluminum is 2700 kg/m 3. Find the mass of a uniform solid aluminum cylinder of radius 10.00 cm and height 30.48 cm. A) 25.85

More information

VARIETY MODES AND CHAOS IN SMOKE VENTILATION BY CEILING CHAMBER SYSTEM. Katsumichi NITTA

VARIETY MODES AND CHAOS IN SMOKE VENTILATION BY CEILING CHAMBER SYSTEM. Katsumichi NITTA VARIETY MODES AND CHAOS IN SMOKE VENTILATION BY CEILING CHAMBER SYSTEM Katsumichi NITTA Prof., Dr.Eng. Department. Architecture and Design, Faculty of Engineering and Design, Kyoto Institute of Technology.

More information

Three-Tank Experiment

Three-Tank Experiment Three-Tank Experiment Overview The three-tank experiment focuses on application of the mechanical balance equation to a transient flow. Three tanks are interconnected by Schedule 40 pipes of nominal diameter

More information

Is the ventilation control for longitudinal system difficult?

Is the ventilation control for longitudinal system difficult? Is the ventilation control for longitudinal system difficult? Akisato MIZUNO and Tomoaki OKUBO, Kogakuin University, Tokyo, Japan ABSTRACT By adopting longitudinal ventilation system, construction costs

More information

Chapter 5 - Differentiating Functions

Chapter 5 - Differentiating Functions Chapter 5 - Differentiating Functions Section 5.1 - Differentiating Functions Differentiation is the process of finding the rate of change of a function. We have proven that if f is a variable dependent

More information

A Numerical Investigation on Active Chilled Beams for Indoor Air Conditioning

A Numerical Investigation on Active Chilled Beams for Indoor Air Conditioning Excerpt from the Proceedings of the COMSOL Conference 2008 Hannover A Numerical Investigation on Active Chilled Beams for Indoor Air Conditioning Cammarata G., Petrone G. * Department of Industrial and

More information

AP Physics C. Momentum. Free Response Problems

AP Physics C. Momentum. Free Response Problems AP Physics C Momentum Free Response Problems 1. A bullet of mass m moves at a velocity v 0 and collides with a stationary block of mass M and length L. The bullet emerges from the block with a velocity

More information

STAAR Science Tutorial 21 TEK 6.8D: Graphing Motion

STAAR Science Tutorial 21 TEK 6.8D: Graphing Motion Distance (meters) Name: _ Teacher: Pd. Date: STAAR Science Tutorial 21 TEK 6.8D: Graphing Motion TEK 6.8D: Measure and graph changes in motion. Graphing Speed on a Distance Graph Speed is defined as the

More information

Therefore, the control volume in this case can be treated as a solid body, with a net force or thrust of. bm # V

Therefore, the control volume in this case can be treated as a solid body, with a net force or thrust of. bm # V When the mass m of the control volume remains nearly constant, the first term of the Eq. 6 8 simply becomes mass times acceleration since 39 CHAPTER 6 d(mv ) CV m dv CV CV (ma ) CV Therefore, the control

More information

What Do You Think? Investigate GOALS. [Catch art: xxxxxxxxxxxxxxxxxx] Part A: Volume and Temperature of a Gas

What Do You Think? Investigate GOALS. [Catch art: xxxxxxxxxxxxxxxxxx] Part A: Volume and Temperature of a Gas Activity 4 Hot-Air Balloons [Catch art: xxxxxxxxxxxxxxxxxx] GOALS In this activity you will: Investigate the relationship between temperature and volume of a gas. Understand why the Kelvin scale is used

More information

FIRE IN THE COINTE TUNNEL : A DESIGN CASE STUDY

FIRE IN THE COINTE TUNNEL : A DESIGN CASE STUDY FIRE IN THE COINTE TUNNEL : A DESIGN CASE STUDY Eddy Jacques & Jean-Marie Seynhaeve Department of Mechanical Engineering, Unité TERM, Université Catholique de Louvain, 1348 Louvain-la-Neuve, Belgium. ABSTRACT

More information

The treatment of the throttling effect in incompressible 1D flow solvers. Gary Clark & Keith Meeks Atkins, UK Thomas Wicht HBI Haerter, Switzerland

The treatment of the throttling effect in incompressible 1D flow solvers. Gary Clark & Keith Meeks Atkins, UK Thomas Wicht HBI Haerter, Switzerland The treatment of the throttling effect in incompressible 1D flow solvers Conor Fleming Atkins, UK Gary Clark & Keith Meeks Atkins, UK Thomas Wicht HBI Haerter, Switzerland The throttling effect of a tunnel

More information

Fluid Flow Analysis Penn State Chemical Engineering

Fluid Flow Analysis Penn State Chemical Engineering Fluid Flow Analysis Penn State Chemical Engineering Revised Spring 2015 Table of Contents LEARNING OBJECTIVES... 1 EXPERIMENTAL OBJECTIVES AND OVERVIEW... 1 PRE-LAB STUDY... 2 EXPERIMENTS IN THE LAB...

More information

Chapter 2: Kinematics

Chapter 2: Kinematics Section 1 Chapter 2: Kinematics To simplify the concept of motion, we will first consider motion that takes place in one direction. To measure motion, you must choose a frame of reference. Frame of reference

More information

Section 2-2: Constant velocity means moving at a steady speed in the same direction

Section 2-2: Constant velocity means moving at a steady speed in the same direction Section 2-2: Constant velocity means moving at a steady speed in the same direction 1. A particle moves from x 1 = 30 cm to x 2 = 40 cm. The displacement of this particle is A. 30 cm B. 40 cm C. 70 cm

More information

Chapter 2. Preview. Objectives One Dimensional Motion Displacement Average Velocity Velocity and Speed Interpreting Velocity Graphically

Chapter 2. Preview. Objectives One Dimensional Motion Displacement Average Velocity Velocity and Speed Interpreting Velocity Graphically Section 1 Displacement and Velocity Preview Objectives One Dimensional Motion Displacement Average Velocity Velocity and Speed Interpreting Velocity Graphically Section 1 Displacement and Velocity Objectives

More information

Graphical Solutions of Linear Systems

Graphical Solutions of Linear Systems Graphical Solutions of Linear Systems Consistent System (At least one solution) Inconsistent System (No Solution) Independent (One solution) Dependent (Infinite many solutions) Parallel Lines Equations

More information

Homework - Lecture 11.

Homework - Lecture 11. Homework - Lecture 11. Name: Topic: Heat Capacity and Specific Heat Type: Numerical 1. Two liquids, A and B, are mixed together, and the resulting temperature is 22 C. If liquid A has mass m and was initially

More information

A fire resistance assessment case history G.C. and M.E. Giuliani

A fire resistance assessment case history G.C. and M.E. Giuliani A fire resistance assessment case history G.C. and M.E. Giuliani In general A structure subjected to fire must be safe for the time necessary for the escape of the people and for the safe operation of

More information

BSE Public CPD Lecture Numerical Simulation of Thermal Comfort and Contaminant Transport in Rooms with UFAD system on 26 March 2010

BSE Public CPD Lecture Numerical Simulation of Thermal Comfort and Contaminant Transport in Rooms with UFAD system on 26 March 2010 BSE Public CPD Lecture Numerical Simulation of Thermal Comfort and Contaminant Transport in Rooms with UFAD system on 26 March 2010 Organized by the Department of Building Services Engineering, a public

More information

Mechanics & Properties of Matter 5: Energy and Power

Mechanics & Properties of Matter 5: Energy and Power Mechanics & Properties of Matter 5: Energy and Power Energy and Power AIM This unit re-introduces the formulae for calculating work done, potential energy, kinetic energy and power. The principle that

More information

Supersonic air and wet steam jet using simplified de Laval nozzle

Supersonic air and wet steam jet using simplified de Laval nozzle Proceedings of the International Conference on Power Engineering-15 (ICOPE-15) November 30- December 4, 2015, Yokohama, Japan Paper ID: ICOPE-15-1158 Supersonic air and wet steam jet using simplified de

More information

Modelling and Experimental Validation Possibilities of Heat Transfer Room Model

Modelling and Experimental Validation Possibilities of Heat Transfer Room Model Excerpt from the Proceedings of the COMSOL Conference 2010 Paris Modelling and Experimental Validation Possibilities of Heat Transfer Room Model Author M. Zalesak 1, Author V. Gerlich *,1 1 Author Tomas

More information

UNIVERSITY OF MANITOBA. All questions are of equal value. No marks are subtracted for wrong answers.

UNIVERSITY OF MANITOBA. All questions are of equal value. No marks are subtracted for wrong answers. (3:30 pm 6:30 pm) PAGE NO.: 1 of 7 All questions are of equal value. No marks are subtracted for wrong answers. Record all answers on the computer score sheet provided. USE PENCIL ONLY! Black pen will

More information

FIRE SAFETY DESIGN USING LARGE EDDY SIMULATION MODELS: EME BUILDING OF BUET: A CASE STUDY

FIRE SAFETY DESIGN USING LARGE EDDY SIMULATION MODELS: EME BUILDING OF BUET: A CASE STUDY Proceedings of the International Conference on Mechanical Engineering 2011 (ICME2011) 18-20 December 2011, Dhaka, Bangladesh ICME11- FIRE SAFETY DESIGN USING LARGE EDDY SIMULATION MODELS: EME BUILDING

More information

The diagram below. to the by the. outlet into. calculation. Since TRANSMISSION VIA STRUCTURE. Vibration Via Supports Duct Breakout

The diagram below. to the by the. outlet into. calculation. Since TRANSMISSION VIA STRUCTURE. Vibration Via Supports Duct Breakout NOISE CONTROL IN VENTILATING SYSTEMS INTRODUCTION The diagram below shows the various noise sources and transmission paths of plant rooms and ventilation systems. For the ventilation system this can be

More information

EXPERIMENTAL AND NUMERICAL STUDIES FOR FLAME SPREAD OVER A FINITE-LENGTH PMMA WITH RADIATION EFFECT

EXPERIMENTAL AND NUMERICAL STUDIES FOR FLAME SPREAD OVER A FINITE-LENGTH PMMA WITH RADIATION EFFECT ISTP-16, 2005, PRAGUE 16 TH INTERNATIONAL SYMPOSIUM ON TRANSPORT PHENOMENA EXPERIMENTAL AND NUMERICAL STUDIES FOR FLAME SPREAD OVER A FINITE-LENGTH PMMA WITH RADIATION EFFECT Wen-Kuei Chang and Chiun-Hsun

More information

3 Geometrical Use of The Rate of Change

3 Geometrical Use of The Rate of Change Arkansas Tech University MATH 224: Business Calculus Dr. Marcel B. Finan Geometrical Use of The Rate of Change Functions given by tables of values have their limitations in that nearly always leave gaps.

More information

P - f = m a x. Now, if the box is already moving, for the frictional force, we use

P - f = m a x. Now, if the box is already moving, for the frictional force, we use Chapter 5 Class Notes This week, we return to forces, and consider forces pointing in different directions. Previously, in Chapter 3, the forces were parallel, but in this chapter the forces can be pointing

More information

Transmission Matrix Model of a Quarter-Wave-Tube with Gas Temperature Gradients

Transmission Matrix Model of a Quarter-Wave-Tube with Gas Temperature Gradients Transmission Matrix Model of a Quarter-Wave-Tube with Gas Temperature Gradients Carl Howard School of Mechanical Engineering, University of Adelaide, South Australia, Australia ABSTRACT A transmission

More information

Accelerator Facility Accident Report

Accelerator Facility Accident Report Accelerator Facility Accident Report 31 May 2013 Incorporated Administrative Agency - Japan Atomic Energy Agency Inter-University Research Institute - High Energy Accelerator Research Organization Subject:

More information

Physics 17 Part M Dr. Alward

Physics 17 Part M Dr. Alward Physics 17 Part M Dr. Alward Elementary Facts Concerning Magnets Magnets have north and south poles. Like Poles Repel Unlike Poles Attract Magnetic Dipoles Magnets have two poles, one north, the other

More information

Can we predict fire extinction by water mist with FDS?

Can we predict fire extinction by water mist with FDS? Can we predict fire extinction by water mist with FDS? A. Jenft a,b, P. Boulet a, A. Collin a, G. Pianet b, A. Breton b, A. Muller b a. LEMTA, Laboratoire d Energétique et de Mécanique Théorique et Appliquée,

More information

PART 1B EXPERIMENTAL ENGINEERING. SUBJECT: FLUID MECHANICS & HEAT TRANSFER LOCATION: HYDRAULICS LAB (Gnd Floor Inglis Bldg) BOUNDARY LAYERS AND DRAG

PART 1B EXPERIMENTAL ENGINEERING. SUBJECT: FLUID MECHANICS & HEAT TRANSFER LOCATION: HYDRAULICS LAB (Gnd Floor Inglis Bldg) BOUNDARY LAYERS AND DRAG 1 PART 1B EXPERIMENTAL ENGINEERING SUBJECT: FLUID MECHANICS & HEAT TRANSFER LOCATION: HYDRAULICS LAB (Gnd Floor Inglis Bldg) EXPERIMENT T3 (LONG) BOUNDARY LAYERS AND DRAG OBJECTIVES a) To measure the velocity

More information

Overview: In this experiment we study the decay of a radioactive nucleus, Cesium 137. Figure 1: The Decay Modes of Cesium 137

Overview: In this experiment we study the decay of a radioactive nucleus, Cesium 137. Figure 1: The Decay Modes of Cesium 137 Radioactivity (Part I and Part II) 7-MAC Objectives: To measure the absorption of beta and gamma rays To understand the concept of half life and to measure the half life of Ba 137* Apparatus: Radioactive

More information

CHAPTER 2: Describing Motion: Kinematics in One Dimension

CHAPTER 2: Describing Motion: Kinematics in One Dimension CHAPTER : Describing Motion: Kinematics in One Dimension Answers to Questions 1. A car speedometer measures only speed. It does not give any information about the direction, and so does not measure velocity..

More information

PHYSICS Kinematics in One Dimension

PHYSICS Kinematics in One Dimension PHYSICS Kinematics in One Dimension August 13, 2012 www.njctl.org 1 Motion in One Dimension Return to Table of Contents 2 Distance We all know what the distance between two objects is... So what is it?

More information

Addendum to ARI Standard , Air Terminals September 2002

Addendum to ARI Standard , Air Terminals September 2002 Addendum to ARI Standard 880-98, Air Terminals September 2002 The September 2002 Addendum to ARI Standard 880-98, Air Terminals, is comprised of only the shaded portions shown, which has been incorporated

More information

Position-Time Graphs

Position-Time Graphs Position-Time Graphs Suppose that a man is jogging at a constant velocity of 5.0 m / s. A data table representing the man s motion is shown below: If we plot this data on a graph, we get: 0 0 1.0 5.0 2.0

More information

An Interruption in the Highway: New Approach to Modeling the Car-Traffic

An Interruption in the Highway: New Approach to Modeling the Car-Traffic EJTP 7, No. 23 (21) 123 136 Electronic Journal of Theoretical Physics An Interruption in the Highway: New Approach to Modeling the Car-Traffic Amin Rezaeezadeh Electrical Engineering Department, Sharif

More information

Chapter 2. Motion along a Straight Line

Chapter 2. Motion along a Straight Line Chapter 2 Motion along a Straight Line 1 2.1 Motion Everything in the universe, from atoms to galaxies, is in motion. A first step to study motion is to consider simplified cases. In this chapter we study

More information

A Mathematical Model of the Smoke Layer Evolution in Compartment Fires

A Mathematical Model of the Smoke Layer Evolution in Compartment Fires The Open Thermodynamics Journal, 2010, 4, 191-200 191 Open Access A Mathematical Model of the Smoke Layer Evolution in Compartment Fires V. Bennardo* and N. Inzaghi Corpo Nazionale dei Vigili del Fuoco,

More information

Motion in 1 Dimension. By Prof. Massimiliano Galeazzi, University of Miami

Motion in 1 Dimension. By Prof. Massimiliano Galeazzi, University of Miami Motion in 1 Dimension By Prof. Massimiliano Galeazzi, University of Miami When you throw a pebble straight up, how high does it go? How fast is it when it gets back? If you are in your car at a red light

More information

Slot diffusers. Slot diffusers, Round duct diffusers. Slot diffusers. Slot diffusers LD-13, LD-14

Slot diffusers. Slot diffusers, Round duct diffusers. Slot diffusers. Slot diffusers LD-13, LD-14 , Round duct diffusers D-, D- Application D- and D- slot diffusers are designed for the supply of air in rooms with floor to ceiling heights of.5 to m for supplying either cold or warm air, in particular

More information

Linear Motion 1. Scalars and Vectors. Scalars & Vectors. Scalars: fully described by magnitude (or size) alone. That is, direction is not involved.

Linear Motion 1. Scalars and Vectors. Scalars & Vectors. Scalars: fully described by magnitude (or size) alone. That is, direction is not involved. Linear Motion 1 Aristotle 384 B.C. - 322 B.C. Galileo 1564-1642 Scalars and Vectors The motion of objects can be described by words such as distance, displacement, speed, velocity, and acceleration. Scalars

More information

Final (3.4)(2.54) = ( )( ) = x = max+ mv 2. + at 2 d. mv = xma t. Name: Class: Date:

Final (3.4)(2.54) = ( )( ) = x = max+ mv 2. + at 2 d. mv = xma t. Name: Class: Date: Name: Class: Date: Final Multiple Choice Identify the choice that best completes the statement or answers the question. 1. What is the result of this calculation: (3.4)(2.54) 2.0 + 4 = 8.318 a. 8.318 c.

More information

Fire Engineering Principles Workbook

Fire Engineering Principles Workbook F Fire Engineering Principles Workbook R C The aim of this course is to enable the student to understand fundamental Fire Engineering Principles. It will give you the basic principles and underlying principles

More information

Power Changes in a Critical Reactor. The Critical Reactor

Power Changes in a Critical Reactor. The Critical Reactor Chapter 8 Power Changes in a Critical Reactor n For very small reactivity increases n For small reactivity increases n For large reactivity increases/decreases The Critical Reactor < k = hfpel f L t =

More information

Transmission Matrix Model of a Quarter-Wave-Tube with Gas Temperature Gradients

Transmission Matrix Model of a Quarter-Wave-Tube with Gas Temperature Gradients Proceedings of Acoustics 2013 Victor Harbor Transmission Matrix Model of a Quarter-Wave-Tube with Gas Temperature Gradients Carl Howard School of Mechanical Engineering, University of Adelaide, South Australia,

More information

AP Physics Free Response Practice Kinematics

AP Physics Free Response Practice Kinematics AP Physics Free Response Practice Kinematics 1982B1. The first meters of a 100-meter dash are covered in 2 seconds by a sprinter who starts from rest and accelerates with a constant acceleration. The remaining

More information

Study on Stack Effect of Stairwell by Numerical Model of Leakage Flow through Gap of Door

Study on Stack Effect of Stairwell by Numerical Model of Leakage Flow through Gap of Door Open Journal of Fluid Dynamics, 13, 3, 41-47 Published Online December 13 (http://www.scirp.org/journal/ojfd) http://dx.doi.org/1.436/ojfd.13.349 Study on Stack Effect of Stairwell by Numerical Model of

More information

Lectures on Applied Reactor Technology and Nuclear Power Safety. Lecture No 4. Title: Control Rods and Sub-critical Systems

Lectures on Applied Reactor Technology and Nuclear Power Safety. Lecture No 4. Title: Control Rods and Sub-critical Systems Lectures on Nuclear Power Safety Lecture No 4 Title: Control Rods and Sub-critical Systems Department of Energy Technology KTH Spring 2005 Slide No 1 Outline of the Lecture Control Rods Selection of Control

More information

Unit 2 - Linear Motion and Graphical Analysis

Unit 2 - Linear Motion and Graphical Analysis Unit 2 - Linear Motion and Graphical Analysis Motion in one dimension is particularly easy to deal with because all the information about it can be encapsulated in two variables: x, the position of the

More information

INVESTIGATION INTO RISE TIME OF BUOYANT FIRE PLUME FRONTS

INVESTIGATION INTO RISE TIME OF BUOYANT FIRE PLUME FRONTS , Volume 2, Number, p.4-25, 2000 INVESTIGATION INTO RISE TIME OF BUOYANT FIRE PLUME FRONTS T. Tanaka isaster Prevention Research Institute, Kyoto University, Gokasho, Uji, Kyoto, 6-00 Japan T. Fujita Shimizu

More information