MXNSSTRY OF SUPPLY AERONAUTICAL RESEARCH COUNCIL REPORTS AND MEMORANDA. of 7 a Pitot ~ntake the Air Stream. X. PLACE and R.

Size: px
Start display at page:

Download "MXNSSTRY OF SUPPLY AERONAUTICAL RESEARCH COUNCIL REPORTS AND MEMORANDA. of 7 a Pitot ~ntake the Air Stream. X. PLACE and R."

Transcription

1 P~. & M. N A.~.G. Technical Reprt t.i ~ ;2 I!Z:, ' MXNSSTRY OF SUPPLY AERONAUTICAL RESEARCH COUNCIL REPORTS AND MEMORANDA :!' ~ i " ',' ~i~ i''~ 'i j i[;_ " ~', c,-, '....~ "-:~ 7 ):, ~Fhe, Efiqciency t f 7 a Pitt ~ntake the Air Stream ]Tnd[~ned. X. PLACE and R. LECAVALIER Crtn Cpyright Reserved LONDON" HER MAJESTY'S STATIONERY OFFICE 195z PRIc~ zs 6d ~ET

2 The Efficiency f a Pitt tntake Inclined t the Air Stream E. L. PLACE and R. LECAVALIER COMMUNICATED BY THE PRI>:CIPAL DIRECTOR OF SCIENTIFIC RESEARCH (AIR), MINISTR~I~l~.:U~'Fy:-27,-,.'W~... 'i... ~"<:<q -: "--~-:,~ Y?.52 Reprts and Memranda N J ~.~k ]:'~ "~ Y':~ ~ ~ i Oct/~er, 1947 "~... Summary.--In an earlier reprt n intake ducting fr supersnic flight 1, the efficiency f a 'pitt' type intake was discussed and shwn t have a marked effect n the perfrmance f gas turbine engines. The present reprt is supplementary in that it describes the effect f inclining the pitt intake t the main air stream directin in the transnic Mach number range 0-7 t 1.5, an effect which is at present incalculable. Curves are presented shwing the influence f inclinatin n intake adiabatic efficiency and air mass flw int the intake. These experimental results are then illustrated by applicatin t the perfrmance f a typical turbine engine and a prpulsive duct in snic and supersnic flight. At a flight Mach number f 1.5, it is fund that, fr bth turbine engine and prpulsive duct, an inclinatin f 5 deg reduces the net thrust by rughly 2 per cent cmpared with the nrmal flight thrust. Fr inclinatins greater than 5 deg, hwever, thrust fails ff mre rapidly, and at 10 deg inclinatin, it is reduced by rughly 6.5 per cent fr the turbine engine and 7.5 fr the prpulsive duct. 1. Experimental Investigatin.--A sketch f the mdel is shwn in Fig. 1. The pitt intake (a half-scale mdel f that emplyed in the investigati.n f Ref. 1) cnsisted f a straight taper, divergent duct f 7 deg ttal internal angle, the entry internal diameter being 0.5 in. and the area rati fur t ne. The static pressure (P,) at the delivery end f the divergent duct was measured ver a range f air mass flws at apprach Mach numbers 0.7, 0-9, 1-0, 1.3, 1-5, fr a range f inclinatin 0 = q- 15 deg in intervals f 8 deg. The airstream, apprximately 2.5 in. square in crss-sectin, was supplied by Busemann nzzles fr Mach numbers greater than unity, while fr the snic and subsnic streams a nndivergent nzzle was used. 2. Discussin f Results Efficiency:--The variables invlved are verall adiabatic efficiency, Mach number f the apprach stream, air mass flw and angle f inclinatin (0). The intake adiabatic efficiency, ~i, is based n delivery static pressure Pe, n crrectin being made fr any difference between delivery static and ttal head pressures. That is (p,/p~) {~ - 1)/~ _ 1 (p,/p~) {~ -111~ 1 = 1 1) 2 where Pt,~ ttal head pressure f apprac h stream. P~ static In Figs. 2 t 6, this efficiency is shwn pltted against the rati f actual mass flw t the maximum mass flw at zer inclinatin, fr the five apprach Mach numbers, with angle f inclinatin a~s parameter. Each curve is the mean f tw experimental curves, ne fr psitive, the ther fr negative angle f inclinatin. Fig. 7 gives an indicatin f the scatter f the experimental pints. Within the chsen range f inclinatin, that is 4-15 deg, there is n effect f inclinatin n efficiency at zer mass flw, which is perhaps t be expected since the intake is then acting as large pitt tube. 1

3 It will be seen that fr zer inclinatin at supersnic apprach velcities, there is a fairly well defined mass flw belw which the efficiency remains cnstant, and abve which the efficiency rapidly falls t zer. The first regin f the curve crrespnds t the state in which a curved shck surface is lcated ahead f the intake, delivery pressure being cmparatively independent f mass flw. With increasing mass flw, this shck wave appraches the intake and becmes less cncave, until in thery a plane shck wave is lcated acrss the entry, and the mass flw reaches a maximum 'crrect' value equal t the mass f air impinging n the entry. This cnditin crrespnds t the regin in which the curve turns ver sharply. Any further reductin in delivery pressure leads by 'ver-expansin' t higher supersnic velcities in the diffuser, fllwed by a cmplicated system f shck-waves. In practice, the theretical curves are apprached nly at high Mach numbers, and belw an M~ f abut 1.5 the abrupt change in directin f the curves becmes mre gradual. As is t be expected, inclinatin f the intake t the apprach stream directin als gives the curves a gradual sweep, since a plane shck wave can bviusly nt ccur acrss the entry. Subsnically, this tendency is much mre marked Reductin f Mass Flw.--Inclining the intake, t the apprach stream leads t a reductin in the maximum mass flw which can pass int the entry (Fig. 8). As this effect is mst marked at subsnic apprach velcities, sme additinal curves have been added dwn t a Mach number f 0.5. Fr the lwest Mach numbers, the reductin in back pressure was limited by the rifice meter and straightener plate, and curves are given nly fr small angles f inclinatin. It is seen that an angle f inclinatin f 10 deg leads t a mass flw reductin f 1.5 t 3 per cent ver the Mach number range 0-8 t 1-5, but t a much greater reductin at lwer Mach numbers. At zer anal e f inclinatin, the mass flws calculated frm intake cnditins are in reasnable agreement with thse measured by the air-flw meter. Als shwn are pints, indicated by circles and squares, crrespnding t the pssible laws f mass-flw rati varying as cs 0 and cs ~ 0 respectively, where 0 is the angle f inclinatin. 3. Engine Thrust in Supersnic Flight.---By virtue f the influence n intake efficiency, inclinatin f an aircraft with pitt intake t its flight path will affect the engine thrust. In rder t illustrate this effect, calculatins have been carried ut fr a typical gas turbine engine and fr a prpulsive duct in supersnic flight, the fllwing characteristics being assumed at isthermal height. Gas Turbine Engine. Cmpressr temperature rise = 200 deg C Bypass air mass flw/cmpressr air mass flw = 2 Fan temperature rise = 35 deg Engine T... = ll00deg K Augmentr Tm,~ = 1500 deg K Cmpressin efficiency (including cmbustin pressure lss) = 75 per cent Fan efficiency = 80 per cent Turbine efficiency = 84 per cent Augmentr cmbustin pressure lss as fr prpulsive duct belw Pr@ulsive Duct T~,~ = 1500 degk Cmbustin chamber inlet velcity/aircraft velcity = 0.1 Jet efficiency per cent The cmbustin chamber pressure lss is assumed t be made up f an aerdyn~/mic lss f fur inlet velcity heads tgether with the fundamental heating 10ss. That is Cmbustin chamber pressure lss Trt... = +3 Cmbustin chamber inlet velcity head ~F~~ ~ 2

4 In bth cases the assumptin f cnstant vlume flw is made (fr the prpulsive duct the cmbustin chamber inlet velcity is taken cnstant fr a given frward speed), s that it is pssible t find a relatin between intake efficiency and mass flw rati fr each apprach Mach number, prvided that a design mass flw is assumed. Fr the thrust calculatins, this has been taken, fr each apprach velcity, as 95 per cent f the maximum mass flw which can pass thrugh the intake at zer inclinatin. As nted previusly, this value is reasnably well defined fr Ms =1.5, ccurring just befre the abrupt reductin in efficiency. The same value f 95 per cent is used fr lwer apprach velcities, althugh the pint becmes less clearly defined. Thus in Figs 2 t 4, the dashed lines represent perating curves fr bth turbine engine and prpulsive duct, and have been drawn fr design mass flws f 95 per cent and 90 per cent f the maximum mass flw at zer inclinatin. Figs. 9, 10 shw the net thrust and specific fuel cnsumptin fr the turbine engine and prpulsive duct respectively, relative t their values at 100 per cent intake efficiency, this basis being chsen t avid vercrwding the curves, the slpes f which are rughly equal at flight Mach numbers f 1.5 and 1-3 but rather greater in snic flight. Cndusins.--At zer mass flw thrugh a pitt-type intake, angles f inclinatin up t 15 deg have n effect n verall adiabatic efficiency, the intake then acting as a large pitt tube. With increasing thrugh-put a reductin in efficiency appears, but is nt serius fr angles f inclinatin belw 5 deg until the mass flw appraches the crrect value, that is the maximum mass flw at zer inclinatin. It is pssible t plt mass flw-efficiency curves fr which a cnstant vlume f air enters the intake, and these will represent engine perating curves fr given designmass flws. Chsing a design mass flw equal t 95 per cent f the crrect mass flw fr each apprach velcity, it is fund that fr bth turbine engine and prpulsive duct at a flight Mach number f 1.5, an inclinatin f 5 deg reduces the net thrust by rughly 2 per cent cmpared with the nrmal flight thrust. Fr inclinatins greater than 5 deg, hwever, thrust falls ff mre rapidly, being reduced at 10 deg by rughly 6-5 per cent fr the turbine engine and 7-5 per cent fr the prpulsive duct. Under the same cnditins, specific fuel cnsumptin is increased by 3 per cent and 4-5 per cent fr turbine engine and prpulsive duct respectively. Maximum thrugh-put is mderately affected by inclinatin in the transnic Mach number range 0.8 t 1-5, the reductin being f the rder 1.5 per cent t 3 per cent fr 10 deg inclinatin. Fr lwer subsnic velcities hwever, the effect is much greater. REFERENCE N. Authr 1 A.G. Smith, E. L. Place, and S. J. Andrews Title Intake Ducting fr Sfipersnic Flight. Pwer Jets Ltd. Memrandum N. M December, 1945.

5 PITOT INTAKF-. ' BUSEMANN MOZZLE DELIVF..~Y PRES ur P.. ANGLE 0~' [NCLINATIOH (,~'~ P'r'r= FIG. 1. Inclined pitt intake test rig. ~ NOI.L~ INI"I"~NI.,-4.) 0 m it3 D " iv Ill ~ Z Z ~ v U 9 ul... O I1_ ~ >- UU 0 b~ ~ ~ ~ O O 13, 4

6 .IOO ENGINE OPERATINC~ CURVE5 (CONSTANT VOLUME) i5 ENCnlNE OPERATING CURVES ('CONSTANT VOLUME ) % ~0 8O 0 ~ Z I~ ~j % Z.0 z.j LI :Z m ~0 GO ADIABATIC. I EFFICIENCY % O 40 5O ~ I00 MASS FLOW RATIO % I00 MASS FLOW RATIO % I~IG. 3. Variatin f verall adiabatic efficiency with angle f inclinatin. Apprach Mach number = FIG. 4. Variatin f verall adiabatic efficiency with angle f inclinatin. Apprach Mach number = 1-0.

7 IO " ;Z "7 w ta _z B z g Z 3 u 15 z ADIABATIC EFFICIENCY % EFFICIEMCY O EO I00 MASS FLOW RATIO % 2O I00 MASS FLOw RATIO /. FIG. 5. Variatin f verall adiabatic efficiency with angle f inclinatin. Apprach Mach number = 0.9. FIG. 6. Variatin f verall adiabatic efficiency with angle f inclinatin. Apprach Mach number = 0.7.

8 I0 I00 M~Sf= FLOW R~ITIO% 9C 80 & V B X ii.i l 9S 9O j M = 1.0 M, = 1.31 M = I0 IS ADIABATIC EFFICIENCY ".a 60 ~S N = I-0 MASS FLOW R~Tt0% M = M = 0-8 Ma = 0"7 40 8S 3O FIG I00 MASS FLOW RATIO ~ Variatin f verall adiabatic efficiency with angle f inclinatin 0, Apprach Mach number = S IO 1 ANGLE OF inclination ~0 FIG. 8. Variatin f maximum thrugh-put with inclinatin. (Curves crrespnding t mass flws beying cs 0 and cs ~ 0 laws are indicated by circles and squares respectively).

9 I00 I00 a ~O 90 ~r T~UST% NET q'h RUST ~/ BO M~ = I'0 M, = 1"3 Ma = 1"5 "70 GO M = I-3 Ma = I-0 M ='1"5 GO 60 1"3 // M "2 SR VIJEL CONS RATIO I.I f J J M : 1-5 M = 1.0 Ma = 1"3 $P, FUEL. CONS 19, AT] 0 I-2 I.t J I I / //, M = 1.5 M = S I0 IS ANGLE OF INELINATION (~ FIG. 9. Net thrust and specific fuel cnsumptin fr typical turbine engine. (Relative t 100 per cent intake efficiency}. Design mass flw 95 per cent f maximum mass flw at 0 = 0 deg. I,'0 5 1O IS ANGLE OF INCLJNATIOIN 6 FIc. 10. Net thrust and specific fuel cnsumptin fr prpulsive duct. (Relative t 100 per cent intake efficiency). Design mass flw 95 per cent f maximum mass flw at 0 = 0 deg.

10 R. & M. N (11,162) A.R.C. Technical Repri Publicatins f the Aernautical Research Cuncil ANNUAL TECHNICAL REPORTS OF THE AERONAUTICAL RESEARCH COUNCIL (BOUND VOLUMES) Vl. I. Aerdynamics. Out fprinl Vl. II. Seaplanes, Structures, Engines, Materials, etc. 40s. (40s. 8d.) 'Vl I. Aerdynamics. 30s. (30s. 7d.) Vl. II. Structures, Flutter, Engines, Seaplanes, etc. 30s. (30s. 7d.) 1936 Vl. I. Aerdynamics General, Perfrmance, Airscrews, Flutter and Spinning. 40s. (40s. 9d.) Vl. II. Stability and Cntrl, Structures, Seaplanes, Engines, etc. 50s. (SOs. 10d.) 1937 Vl. I. Aerdynamics General, Perfrmance, Airscrews, Flutter and Spinning. 40s. (40s. 10d.) Vl. II. Stability and Cntrl, Structures, Seaplanes, Engines, etc. 60s. (61s.) 1938 Vl. I. Aerdynamics General, Perfrmance, Airscrews. 50s. (51s.) Vl. II. Stability and Cntrl, Flutter, Structures, Seaplanes, Wind Tunnels, Materials. 30s. (30s. 9d.) 1939 Vl. I. Aerdynamics General, Perfrmance, Airscrews, Engines. 50s. (50s. 11~.) Vl. II. Stability and Cntrl, Flutter and Vibratin, Instruments, Structures, Seaplanes, etc. 63s. (64s. 2d.) 1940 Aer and Hydrdynamics, Aerfils, Airscrews, Engines, Flutter, Icing, Stability and Cntrl, Structures, anda miscellaneus sectin. 50s. (51s.) Certain ther reprts pr@er t the 1940 vh~me will subsequently be included in a separate vlume. ANNUAL REPORTS OF THE AERONAUTICAL RESEARCH COUNCIL Is. 6d. (ls. 8d.) April 1, ls. 6d. (ls. 8d.) 1935 t December 31, t936. 4s. (4s. 4d.) s. (2s. 2,/.) 1938 Is. 6d. (ls. 8d.) s. (3s. 2d.) INDEX TO ALL REPORTS AND MEMORANDA PUBLISHED IN THE ANNUAL TECHNICAL REPORTS, AND SEPARATELY-- April, 1950 R. & M. N s. 6d. (2s. 7½d.) INDEXES TO THE TECHNICAL REPORTS OF THE AERONAUTICAL RESEARCH COUNCIL-- December 1, June 30, R. & M. N ls. 3d. (ls. 4½d.). July 1, June 30, R. & M. N ls. (Is. l{d.) July 1, June 30, R. & M. N ls. (ls. 1½d.) July t, December 31, R. & M. N is. ad. (is. 4½d.) January 1, June 30, R. & hi. N Is. 3d. (ls. 4½d.) Prices in brackets include pstage. Obtainable frm HER MAJESTY'S STATIONERY OFFICE Yrk Huse, Kingsway, LONDON, w.c Oxfrd Street, LONDON, w.1 P.O. Bx 569, LONDON, S.E.1 13a Castle Street, EDINBURGH, 2 1 St. Andrew's Crescent, CARDIFF 39 King Street, MANCHESTER, 2 Twer Lane, BRISTOL, 1 2 Edmund Street, BIRMINGHAM, 3 80 Chichester Street, BELlVAST r thrugh any bkseller S.O. Cde N

Note on the Oharactensc~c Ourve for

Note on the Oharactensc~c Ourve for q!. r........ -, ",- ' ".....,..... r-,,)..., : -. :'-.,.+ N. & M. No. 2673 A.R.C. Techn[cA. Re~ozl., [': ';!, ip,,. u % t.... -r ]i ± '~i... < -.': - IL "X.,t f* " MINISTRY OF SUPPLY AERONAUTICAL RESEARCH

More information

Model Tests on the Asymmetry of Airflow Occurring in Twin,intake Systems at Subsonic Speeds

Model Tests on the Asymmetry of Airflow Occurring in Twin,intake Systems at Subsonic Speeds R. & M, N. 2910 (13,932) A.R.C. Technical Reprt MNSTRY OF -SUPPLY AERONAUTCAL RESEARCH COUNCL REPORTS AND MEMORANDA Mdel Tests n the Asymmetry f Airflw Occurring in Twin,intake Systems at Subsnic Speeds

More information

Assume that the water in the nozzle is accelerated at a rate such that the frictional effect can be neglected.

Assume that the water in the nozzle is accelerated at a rate such that the frictional effect can be neglected. 1 HW #3: Cnservatin f Linear Mmentum, Cnservatin f Energy, Cnservatin f Angular Mmentum and Turbmachines, Bernulli s Equatin, Dimensinal Analysis, and Pipe Flws Prblem 1. Cnservatins f Mass and Linear

More information

The Normal Impingement of a Circular Air Jet on a Flat Surface

The Normal Impingement of a Circular Air Jet on a Flat Surface in t.nsra-ry JOrAk ARCRAFT ESTABLSH~.~ BEDFOt~. R. & M. N. 325; MNSTRY OF AVATON '. AERONAUTCAL RESEARCH COUNCL REPORTS AND MEMORANDA The Nrmal mpingement f a Circular Air Jet n a Flat Surface By P. BRADSHAW,

More information

Study Group Report: Plate-fin Heat Exchangers: AEA Technology

Study Group Report: Plate-fin Heat Exchangers: AEA Technology Study Grup Reprt: Plate-fin Heat Exchangers: AEA Technlgy The prblem under study cncerned the apparent discrepancy between a series f experiments using a plate fin heat exchanger and the classical thery

More information

Aircraft Performance - Drag

Aircraft Performance - Drag Aircraft Perfrmance - Drag Classificatin f Drag Ntes: Drag Frce and Drag Cefficient Drag is the enemy f flight and its cst. One f the primary functins f aerdynamicists and aircraft designers is t reduce

More information

bulk velocity through orifice,

bulk velocity through orifice, 150A Review Sessin Other Frictin Lsses Bernulli hf accunts fr all types f drag: is drag due t skin frictin is drag due t fittings (tabulated fractin f the velcity head) is drag due t units (a given r calculated

More information

, which yields. where z1. and z2

, which yields. where z1. and z2 The Gaussian r Nrmal PDF, Page 1 The Gaussian r Nrmal Prbability Density Functin Authr: Jhn M Cimbala, Penn State University Latest revisin: 11 September 13 The Gaussian r Nrmal Prbability Density Functin

More information

Electric Current and Resistance

Electric Current and Resistance Electric Current and Resistance Electric Current Electric current is the rate f flw f charge thrugh sme regin f space The SI unit f current is the ampere (A) 1 A = 1 C / s The symbl fr electric current

More information

NAME TEMPERATURE AND HUMIDITY. I. Introduction

NAME TEMPERATURE AND HUMIDITY. I. Introduction NAME TEMPERATURE AND HUMIDITY I. Intrductin Temperature is the single mst imprtant factr in determining atmspheric cnditins because it greatly influences: 1. The amunt f water vapr in the air 2. The pssibility

More information

Chapter 39. A GUIDE TO THE DESIGN OP AIR BUBBLERS FOR MELTING ICE Simon Ince Hydraulics Section, National Research Council Ottawa, Canada

Chapter 39. A GUIDE TO THE DESIGN OP AIR BUBBLERS FOR MELTING ICE Simon Ince Hydraulics Section, National Research Council Ottawa, Canada Chapter 39 A GUIDE T THE DESIGN P AIR BUBBLERS FR MELTING ICE Simn Ince Hydraulics Sectin, Natinal Research Cuncil ttawa, Canada INTRDUCTIN The use f air bubblers fr maintaining ice-free areas in lakes

More information

Compressibility Effects

Compressibility Effects Definitin f Cmpressibility All real substances are cmpressible t sme greater r lesser extent; that is, when yu squeeze r press n them, their density will change The amunt by which a substance can be cmpressed

More information

Introductory Thoughts

Introductory Thoughts Flw Similarity By using the Buckingham pi therem, we have reduced the number f independent variables frm five t tw If we wish t run a series f wind-tunnel tests fr a given bdy at a given angle f attack,

More information

Synchronous Motor V-Curves

Synchronous Motor V-Curves Synchrnus Mtr V-Curves 1 Synchrnus Mtr V-Curves Intrductin Synchrnus mtrs are used in applicatins such as textile mills where cnstant speed peratin is critical. Mst small synchrnus mtrs cntain squirrel

More information

ChE 471: LECTURE 4 Fall 2003

ChE 471: LECTURE 4 Fall 2003 ChE 47: LECTURE 4 Fall 003 IDEL RECTORS One f the key gals f chemical reactin engineering is t quantify the relatinship between prductin rate, reactr size, reactin kinetics and selected perating cnditins.

More information

Module 4: General Formulation of Electric Circuit Theory

Module 4: General Formulation of Electric Circuit Theory Mdule 4: General Frmulatin f Electric Circuit Thery 4. General Frmulatin f Electric Circuit Thery All electrmagnetic phenmena are described at a fundamental level by Maxwell's equatins and the assciated

More information

Examiner: Dr. Mohamed Elsharnoby Time: 180 min. Attempt all the following questions Solve the following five questions, and assume any missing data

Examiner: Dr. Mohamed Elsharnoby Time: 180 min. Attempt all the following questions Solve the following five questions, and assume any missing data Benha University Cllege f Engineering at Banha Department f Mechanical Eng. First Year Mechanical Subject : Fluid Mechanics M111 Date:4/5/016 Questins Fr Final Crrective Examinatin Examiner: Dr. Mhamed

More information

THERMAL-VACUUM VERSUS THERMAL- ATMOSPHERIC TESTS OF ELECTRONIC ASSEMBLIES

THERMAL-VACUUM VERSUS THERMAL- ATMOSPHERIC TESTS OF ELECTRONIC ASSEMBLIES PREFERRED RELIABILITY PAGE 1 OF 5 PRACTICES PRACTICE NO. PT-TE-1409 THERMAL-VACUUM VERSUS THERMAL- ATMOSPHERIC Practice: Perfrm all thermal envirnmental tests n electrnic spaceflight hardware in a flight-like

More information

The Pressure in a Two-Dimensional Static Hole at Low Reynolds Numbers

The Pressure in a Two-Dimensional Static Hole at Low Reynolds Numbers LBRARY ROYAL ARCRAFT E~TABLSHMENT BEDFORD. R. & M. N. 39 (18,798) A.R.C. Technical Reprt MNSTRY OF SUPPLY AERONAUTCAL RESEARCH COUNCL REPORTS AND MEMORANDA The Pressure in a Tw-Dimensinal Static Hle at

More information

Pressure And Entropy Variations Across The Weak Shock Wave Due To Viscosity Effects

Pressure And Entropy Variations Across The Weak Shock Wave Due To Viscosity Effects Pressure And Entrpy Variatins Acrss The Weak Shck Wave Due T Viscsity Effects OSTAFA A. A. AHOUD Department f athematics Faculty f Science Benha University 13518 Benha EGYPT Abstract:-The nnlinear differential

More information

Three charges, all with a charge of 10 C are situated as shown (each grid line is separated by 1 meter).

Three charges, all with a charge of 10 C are situated as shown (each grid line is separated by 1 meter). Three charges, all with a charge f 0 are situated as shwn (each grid line is separated by meter). ) What is the net wrk needed t assemble this charge distributin? a) +0.5 J b) +0.8 J c) 0 J d) -0.8 J e)

More information

CHM112 Lab Graphing with Excel Grading Rubric

CHM112 Lab Graphing with Excel Grading Rubric Name CHM112 Lab Graphing with Excel Grading Rubric Criteria Pints pssible Pints earned Graphs crrectly pltted and adhere t all guidelines (including descriptive title, prperly frmatted axes, trendline

More information

Unit code: H/ QCF level: 5 Credit value: 15 OUTCOME 3 - STATIC AND DYNAMIC FLUID SYSTEMS TUTORIAL 3 - VISCOSITY

Unit code: H/ QCF level: 5 Credit value: 15 OUTCOME 3 - STATIC AND DYNAMIC FLUID SYSTEMS TUTORIAL 3 - VISCOSITY Unit 43: Plant and Prcess Principles Unit cde: H/601 44 QCF level: 5 Credit value: 15 OUTCOME 3 - STATIC AND DYNAMIC FLUID SYSTEMS TUTORIAL 3 - VISCOSITY 3 Understand static and namic fluid systems with

More information

Design and Rotor Performance of a 5:1 Mixed-Flow Supersonic Compressor

Design and Rotor Performance of a 5:1 Mixed-Flow Supersonic Compressor THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS 345 E. 47 SI, Nw Yrk. N.Y. 10017 The Sciety shall n' be respnsible fr statements r pinins advanced in papers r in disi cussln at meetings f the Sciety r f Its

More information

Review of the Roll-Damping, Measurements in the T-38 Wind Tunnel

Review of the Roll-Damping, Measurements in the T-38 Wind Tunnel Internatinal Jurnal f Scientific and Research Publicatins, Vlume 3, Issue 12, December 2013 1 Review f the Rll-Damping, Measurements in the T-38 Wind Tunnel Dušan Regdić *, Marija Samardžić **, Gjk Grubr

More information

EXPERIMENTAL STUDY ON DISCHARGE COEFFICIENT OF OUTFLOW OPENING FOR PREDICTING CROSS-VENTILATION FLOW RATE

EXPERIMENTAL STUDY ON DISCHARGE COEFFICIENT OF OUTFLOW OPENING FOR PREDICTING CROSS-VENTILATION FLOW RATE EXPERIMENTAL STUD ON DISCHARGE COEFFICIENT OF OUTFLOW OPENING FOR PREDICTING CROSS-VENTILATION FLOW RATE Tmnbu Gt, Masaaki Ohba, Takashi Kurabuchi 2, Tmyuki End 3, shihik Akamine 4, and Tshihir Nnaka 2

More information

Interference is when two (or more) sets of waves meet and combine to produce a new pattern.

Interference is when two (or more) sets of waves meet and combine to produce a new pattern. Interference Interference is when tw (r mre) sets f waves meet and cmbine t prduce a new pattern. This pattern can vary depending n the riginal wave directin, wavelength, amplitude, etc. The tw mst extreme

More information

SPH3U1 Lesson 06 Kinematics

SPH3U1 Lesson 06 Kinematics PROJECTILE MOTION LEARNING GOALS Students will: Describe the mtin f an bject thrwn at arbitrary angles thrugh the air. Describe the hrizntal and vertical mtins f a prjectile. Slve prjectile mtin prblems.

More information

Experiment #3. Graphing with Excel

Experiment #3. Graphing with Excel Experiment #3. Graphing with Excel Study the "Graphing with Excel" instructins that have been prvided. Additinal help with learning t use Excel can be fund n several web sites, including http://www.ncsu.edu/labwrite/res/gt/gt-

More information

ENGINEERING COUNCIL CERTIFICATE LEVEL THERMODYNAMIC, FLUID AND PROCESS ENGINEERING C106 TUTORIAL 5 THE VISCOUS NATURE OF FLUIDS

ENGINEERING COUNCIL CERTIFICATE LEVEL THERMODYNAMIC, FLUID AND PROCESS ENGINEERING C106 TUTORIAL 5 THE VISCOUS NATURE OF FLUIDS ENGINEERING COUNCIL CERTIFICATE LEVEL THERMODYNAMIC, FLUID AND PROCESS ENGINEERING C106 TUTORIAL 5 THE VISCOUS NATURE OF FLUIDS On cmpletin f this tutrial yu shuld be able t d the fllwing. Define viscsity

More information

Design and Analysis of Gas Turbine Blade by Potential Flow Approach

Design and Analysis of Gas Turbine Blade by Potential Flow Approach V. Vijaya kumar et al Int. Jurnal f Engineering Research and Applicatins RESEARCH ARTICLE OPEN ACCESS Design and Analysis f Gas Turbine Blade by Ptential Flw Apprach V. Vijaya Kumar 1, R. Lalitha Narayana

More information

Chem 163 Section: Team Number: ALE 24. Voltaic Cells and Standard Cell Potentials. (Reference: 21.2 and 21.3 Silberberg 5 th edition)

Chem 163 Section: Team Number: ALE 24. Voltaic Cells and Standard Cell Potentials. (Reference: 21.2 and 21.3 Silberberg 5 th edition) Name Chem 163 Sectin: Team Number: ALE 24. Vltaic Cells and Standard Cell Ptentials (Reference: 21.2 and 21.3 Silberberg 5 th editin) What des a vltmeter reading tell us? The Mdel: Standard Reductin and

More information

The Flow in an Axially-Symmetric Supersonic Jet from a NearlySonic Orifice into a Vacuum

The Flow in an Axially-Symmetric Supersonic Jet from a NearlySonic Orifice into a Vacuum ; ^+a^aea+a^;^+aw R& M No, 2 1 6 (li 7 ) A.RfiC"TechQ1c a1repor AERONAUTICAL RESEARCH COUNCIL REPORTS AND MEMORANDA The Flow in an Axially-Symmetric Supersonic Jet from a NearlySonic Orifice into a Vacuum

More information

Aerodynamic Separability in Tip Speed Ratio and Separability in Wind Speed- a Comparison

Aerodynamic Separability in Tip Speed Ratio and Separability in Wind Speed- a Comparison Jurnal f Physics: Cnference Series OPEN ACCESS Aerdynamic Separability in Tip Speed Rati and Separability in Wind Speed- a Cmparisn T cite this article: M L Gala Sants et al 14 J. Phys.: Cnf. Ser. 555

More information

Lab 11 LRC Circuits, Damped Forced Harmonic Motion

Lab 11 LRC Circuits, Damped Forced Harmonic Motion Physics 6 ab ab 11 ircuits, Damped Frced Harmnic Mtin What Yu Need T Knw: The Physics OK this is basically a recap f what yu ve dne s far with circuits and circuits. Nw we get t put everything tgether

More information

Verification of Quality Parameters of a Solar Panel and Modification in Formulae of its Series Resistance

Verification of Quality Parameters of a Solar Panel and Modification in Formulae of its Series Resistance Verificatin f Quality Parameters f a Slar Panel and Mdificatin in Frmulae f its Series Resistance Sanika Gawhane Pune-411037-India Onkar Hule Pune-411037- India Chinmy Kulkarni Pune-411037-India Ojas Pandav

More information

Bicycle Generator Dump Load Control Circuit: An Op Amp Comparator with Hysteresis

Bicycle Generator Dump Load Control Circuit: An Op Amp Comparator with Hysteresis Bicycle Generatr Dump Lad Cntrl Circuit: An Op Amp Cmparatr with Hysteresis Sustainable Technlgy Educatin Prject University f Waterl http://www.step.uwaterl.ca December 1, 2009 1 Summary This dcument describes

More information

SGP - TR - 30 PROCEEDINGS FOURTH WORKSHOP GEOTHERMAL RESERVOIR ENGINEERING. Editors. December13-15, , 1978 SGP - TR - 30 CONF

SGP - TR - 30 PROCEEDINGS FOURTH WORKSHOP GEOTHERMAL RESERVOIR ENGINEERING. Editors. December13-15, , 1978 SGP - TR - 30 CONF SGP - TR - 30 SGP - TR - 30 CON-781222-26 PROCEEDINGS OURTH WORKSHOP GEOTHERMAL RESERVOIR ENGINEERING Paul Paul Krugerand and Henry.. Ramey, Ramey., r. r. Editrs December13-15, 13-15., 1978 DISTRIBUTION

More information

Edexcel GCSE Physics

Edexcel GCSE Physics Edexcel GCSE Physics Tpic 10: Electricity and circuits Ntes (Cntent in bld is fr Higher Tier nly) www.pmt.educatin The Structure f the Atm Psitively charged nucleus surrunded by negatively charged electrns

More information

Q1. A string of length L is fixed at both ends. Which one of the following is NOT a possible wavelength for standing waves on this string?

Q1. A string of length L is fixed at both ends. Which one of the following is NOT a possible wavelength for standing waves on this string? Term: 111 Thursday, January 05, 2012 Page: 1 Q1. A string f length L is fixed at bth ends. Which ne f the fllwing is NOT a pssible wavelength fr standing waves n this string? Q2. λ n = 2L n = A) 4L B)

More information

AP Statistics Notes Unit Two: The Normal Distributions

AP Statistics Notes Unit Two: The Normal Distributions AP Statistics Ntes Unit Tw: The Nrmal Distributins Syllabus Objectives: 1.5 The student will summarize distributins f data measuring the psitin using quartiles, percentiles, and standardized scres (z-scres).

More information

Strut Intended for Compressive.eads

Strut Intended for Compressive.eads ATIO~:.'.~ /_.:..Oj',ll~d,lU,,~- 1 E: iht/tgl ',;-iey'~ 1,,~, E,,.::.,.r~.-... -... (*0,g85)!i, \,,. r i I,~ ji??"!-"... i: A.R.C. Technical Reper~ 1~ clap's-lad,"!dg.o ~!t % MI~N}!STRY OF SUPPLY r.j AERONAUTICAL

More information

Space Shuttle Ascent Mass vs. Time

Space Shuttle Ascent Mass vs. Time Space Shuttle Ascent Mass vs. Time Backgrund This prblem is part f a series that applies algebraic principles in NASA s human spaceflight. The Space Shuttle Missin Cntrl Center (MCC) and the Internatinal

More information

February 28, 2013 COMMENTS ON DIFFUSION, DIFFUSIVITY AND DERIVATION OF HYPERBOLIC EQUATIONS DESCRIBING THE DIFFUSION PHENOMENA

February 28, 2013 COMMENTS ON DIFFUSION, DIFFUSIVITY AND DERIVATION OF HYPERBOLIC EQUATIONS DESCRIBING THE DIFFUSION PHENOMENA February 28, 2013 COMMENTS ON DIFFUSION, DIFFUSIVITY AND DERIVATION OF HYPERBOLIC EQUATIONS DESCRIBING THE DIFFUSION PHENOMENA Mental Experiment regarding 1D randm walk Cnsider a cntainer f gas in thermal

More information

ENGI 4430 Parametric Vector Functions Page 2-01

ENGI 4430 Parametric Vector Functions Page 2-01 ENGI 4430 Parametric Vectr Functins Page -01. Parametric Vectr Functins (cntinued) Any nn-zer vectr r can be decmpsed int its magnitude r and its directin: r rrˆ, where r r 0 Tangent Vectr: dx dy dz dr

More information

Chapter 2 GAUSS LAW Recommended Problems:

Chapter 2 GAUSS LAW Recommended Problems: Chapter GAUSS LAW Recmmended Prblems: 1,4,5,6,7,9,11,13,15,18,19,1,7,9,31,35,37,39,41,43,45,47,49,51,55,57,61,6,69. LCTRIC FLUX lectric flux is a measure f the number f electric filed lines penetrating

More information

Thermal behavior of Surface Mount Device (SMD) for Spicer case

Thermal behavior of Surface Mount Device (SMD) for Spicer case Thermal behavir f Surface Munt Device (SMD) fr Spicer case Sandip Kumar Saha, Frederik Rgiers, Martine Baelmans sandipkumar.saha@mech.kuleuven.be 3 th Octber 20 Outline Thermal analysis f existing Spicer

More information

Suggested reading: Lackmann (2011), Sections

Suggested reading: Lackmann (2011), Sections QG Thery and Applicatins: Apprximatins and Equatins Atms 5110 Synptic Dynamic Meterlgy I Instructr: Jim Steenburgh jim.steenburgh@utah.edu 801-581-8727 Suite 480/Office 488 INSCC Suggested reading: Lackmann

More information

Differentiation Applications 1: Related Rates

Differentiation Applications 1: Related Rates Differentiatin Applicatins 1: Related Rates 151 Differentiatin Applicatins 1: Related Rates Mdel 1: Sliding Ladder 10 ladder y 10 ladder 10 ladder A 10 ft ladder is leaning against a wall when the bttm

More information

Perfrmance f Sensitizing Rules n Shewhart Cntrl Charts with Autcrrelated Data Key Wrds: Autregressive, Mving Average, Runs Tests, Shewhart Cntrl Chart

Perfrmance f Sensitizing Rules n Shewhart Cntrl Charts with Autcrrelated Data Key Wrds: Autregressive, Mving Average, Runs Tests, Shewhart Cntrl Chart Perfrmance f Sensitizing Rules n Shewhart Cntrl Charts with Autcrrelated Data Sandy D. Balkin Dennis K. J. Lin y Pennsylvania State University, University Park, PA 16802 Sandy Balkin is a graduate student

More information

7.0 Heat Transfer in an External Laminar Boundary Layer

7.0 Heat Transfer in an External Laminar Boundary Layer 7.0 Heat ransfer in an Eternal Laminar Bundary Layer 7. Intrductin In this chapter, we will assume: ) hat the fluid prperties are cnstant and unaffected by temperature variatins. ) he thermal & mmentum

More information

Physics 2B Chapter 23 Notes - Faraday s Law & Inductors Spring 2018

Physics 2B Chapter 23 Notes - Faraday s Law & Inductors Spring 2018 Michael Faraday lived in the Lndn area frm 1791 t 1867. He was 29 years ld when Hand Oersted, in 1820, accidentally discvered that electric current creates magnetic field. Thrugh empirical bservatin and

More information

Phys101 Final Code: 1 Term: 132 Wednesday, May 21, 2014 Page: 1

Phys101 Final Code: 1 Term: 132 Wednesday, May 21, 2014 Page: 1 Phys101 Final Cde: 1 Term: 1 Wednesday, May 1, 014 Page: 1 Q1. A car accelerates at.0 m/s alng a straight rad. It passes tw marks that are 0 m apart at times t = 4.0 s and t = 5.0 s. Find the car s velcity

More information

(Communicated at the meeting of January )

(Communicated at the meeting of January ) Physics. - Establishment f an Abslute Scale fr the herm-electric Frce. By G. BOR ELlUS. W. H. KEESOM. C. H. JOHANSSON and J. O. LND E. Supplement N0. 69b t the Cmmunicatins frm the Physical Labratry at

More information

Thermodynamics Partial Outline of Topics

Thermodynamics Partial Outline of Topics Thermdynamics Partial Outline f Tpics I. The secnd law f thermdynamics addresses the issue f spntaneity and invlves a functin called entrpy (S): If a prcess is spntaneus, then Suniverse > 0 (2 nd Law!)

More information

Physics 2010 Motion with Constant Acceleration Experiment 1

Physics 2010 Motion with Constant Acceleration Experiment 1 . Physics 00 Mtin with Cnstant Acceleratin Experiment In this lab, we will study the mtin f a glider as it accelerates dwnhill n a tilted air track. The glider is supprted ver the air track by a cushin

More information

CHAPTER 3 INEQUALITIES. Copyright -The Institute of Chartered Accountants of India

CHAPTER 3 INEQUALITIES. Copyright -The Institute of Chartered Accountants of India CHAPTER 3 INEQUALITIES Cpyright -The Institute f Chartered Accuntants f India INEQUALITIES LEARNING OBJECTIVES One f the widely used decisin making prblems, nwadays, is t decide n the ptimal mix f scarce

More information

THERMAL TEST LEVELS & DURATIONS

THERMAL TEST LEVELS & DURATIONS PREFERRED RELIABILITY PAGE 1 OF 7 PRACTICES PRACTICE NO. PT-TE-144 Practice: 1 Perfrm thermal dwell test n prtflight hardware ver the temperature range f +75 C/-2 C (applied at the thermal cntrl/munting

More information

J. C. Sprott OHMIC HEATING RATE IN A TOROIDAL OCTUPOLE. August 1975 PLP 643. Plasma Studies. University of Wisconsin

J. C. Sprott OHMIC HEATING RATE IN A TOROIDAL OCTUPOLE. August 1975 PLP 643. Plasma Studies. University of Wisconsin OHMC HEATNG RATE N A TORODAL OCTUPOLE J. C. Sprtt August 1975 PLP 643 Plasma Studies University f Wiscnsin These PLP Reprts are infrmal and preliminary and as such may cntain errrs nt yet eliminated. Tbey

More information

We need to do review for some thermodynamic relations: Equation of state P=ρ R T, h= u + pv = u + RT dh= du +R dt Cp dt=cv dt + R dt.

We need to do review for some thermodynamic relations: Equation of state P=ρ R T, h= u + pv = u + RT dh= du +R dt Cp dt=cv dt + R dt. Cmpressible Flw Cmpressible flw is the study f fluids flwing at speeds cmparable t the lcal speed f sund. his ccurs when fluid speeds are abut 30% r mre f the lcal acustic velcity. hen, the fluid density

More information

Dispersion Ref Feynman Vol-I, Ch-31

Dispersion Ref Feynman Vol-I, Ch-31 Dispersin Ref Feynman Vl-I, Ch-31 n () = 1 + q N q /m 2 2 2 0 i ( b/m) We have learned that the index f refractin is nt just a simple number, but a quantity that varies with the frequency f the light.

More information

the results to larger systems due to prop'erties of the projection algorithm. First, the number of hidden nodes must

the results to larger systems due to prop'erties of the projection algorithm. First, the number of hidden nodes must M.E. Aggune, M.J. Dambrg, M.A. El-Sharkawi, R.J. Marks II and L.E. Atlas, "Dynamic and static security assessment f pwer systems using artificial neural netwrks", Prceedings f the NSF Wrkshp n Applicatins

More information

TOPPER SAMPLE PAPER 2 Class XII- Physics

TOPPER SAMPLE PAPER 2 Class XII- Physics TOPPER SAMPLE PAPER 2 Class XII- Physics Time: Three Hurs Maximum Marks: 70 General Instructins (a) All questins are cmpulsry. (b) There are 30 questins in ttal. Questins 1 t 8 carry ne mark each, questins

More information

arxiv:hep-ph/ v1 2 Jun 1995

arxiv:hep-ph/ v1 2 Jun 1995 WIS-95//May-PH The rati F n /F p frm the analysis f data using a new scaling variable S. A. Gurvitz arxiv:hep-ph/95063v1 Jun 1995 Department f Particle Physics, Weizmann Institute f Science, Rehvt 76100,

More information

Part One: Heat Changes and Thermochemistry. This aspect of Thermodynamics was dealt with in Chapter 6. (Review)

Part One: Heat Changes and Thermochemistry. This aspect of Thermodynamics was dealt with in Chapter 6. (Review) CHAPTER 18: THERMODYNAMICS AND EQUILIBRIUM Part One: Heat Changes and Thermchemistry This aspect f Thermdynamics was dealt with in Chapter 6. (Review) A. Statement f First Law. (Sectin 18.1) 1. U ttal

More information

Uncertainties in TRP Measurements Due to Finite Range Lengths

Uncertainties in TRP Measurements Due to Finite Range Lengths Uncertainties in TRP Measurements Due t Finite Range Lengths James D Huff Carl W Sirles The Hwland Cmpany, Inc 4540 Atwater Curt, Suite 107 Bufrd, Gergia 30518 Abstract Ttal Radiated Pwer (TRP) and Ttal

More information

Biplots in Practice MICHAEL GREENACRE. Professor of Statistics at the Pompeu Fabra University. Chapter 13 Offprint

Biplots in Practice MICHAEL GREENACRE. Professor of Statistics at the Pompeu Fabra University. Chapter 13 Offprint Biplts in Practice MICHAEL GREENACRE Prfessr f Statistics at the Pmpeu Fabra University Chapter 13 Offprint CASE STUDY BIOMEDICINE Cmparing Cancer Types Accrding t Gene Epressin Arrays First published:

More information

Making and Experimenting with Voltaic Cells. I. Basic Concepts and Definitions (some ideas discussed in class are omitted here)

Making and Experimenting with Voltaic Cells. I. Basic Concepts and Definitions (some ideas discussed in class are omitted here) Making xperimenting with Vltaic Cells I. Basic Cncepts Definitins (sme ideas discussed in class are mitted here) A. Directin f electrn flw psitiveness f electrdes. If ne electrde is mre psitive than anther,

More information

Lead/Lag Compensator Frequency Domain Properties and Design Methods

Lead/Lag Compensator Frequency Domain Properties and Design Methods Lectures 6 and 7 Lead/Lag Cmpensatr Frequency Dmain Prperties and Design Methds Definitin Cnsider the cmpensatr (ie cntrller Fr, it is called a lag cmpensatr s K Fr s, it is called a lead cmpensatr Ntatin

More information

NATURAL CONVECTION HEAT TRANSFER FROM A HEAT SINK WITH FINS OF DIFFERENT CONFIGURATION

NATURAL CONVECTION HEAT TRANSFER FROM A HEAT SINK WITH FINS OF DIFFERENT CONFIGURATION Internatinal Jurnal f Innvatin and Applied Studies ISSN 2028-9324 Vl. 9 N. 3 Nv. 2014, pp. 1043-1047 2014 Innvative Space f Scientific Research Jurnals http://www.ijias.issr-jurnals.rg/ NATURAL CONVECTION

More information

OPTIMIZATION OF A TRANSCRITICAL N 2 O REFRIGERATION/HEAT PUMP CYCLE

OPTIMIZATION OF A TRANSCRITICAL N 2 O REFRIGERATION/HEAT PUMP CYCLE NIK 06-T1-14 OPTIMIZATION OF A TRANSRITIAL N O REFRIGERATION/HEAT PUMP YLE JAHAR SARKAR (a), SOUVIK BHATTAHARYYA (b) (a) Department f Mechanical Engineering Institute f Technlgy-BHU, Varanasi 1005, India

More information

Fill in your name and ID No. in the space above. There should be 11 pages (including this page and the last page which is a formula page).

Fill in your name and ID No. in the space above. There should be 11 pages (including this page and the last page which is a formula page). ENGR -503 Name: Final Exam, Sem. 03C ID N.: /6/003 3:30 5:30 p.m. Rm N.: 7B Fill in yur name and ID N. in the space abve. There shuld be pages (including this page and the last page which is a frmula page).

More information

BASIC DIRECT-CURRENT MEASUREMENTS

BASIC DIRECT-CURRENT MEASUREMENTS Brwn University Physics 0040 Intrductin BASIC DIRECT-CURRENT MEASUREMENTS The measurements described here illustrate the peratin f resistrs and capacitrs in electric circuits, and the use f sme standard

More information

OF SIMPLY SUPPORTED PLYWOOD PLATES UNDER COMBINED EDGEWISE BENDING AND COMPRESSION

OF SIMPLY SUPPORTED PLYWOOD PLATES UNDER COMBINED EDGEWISE BENDING AND COMPRESSION U. S. FOREST SERVICE RESEARCH PAPER FPL 50 DECEMBER U. S. DEPARTMENT OF AGRICULTURE FOREST SERVICE FOREST PRODUCTS LABORATORY OF SIMPLY SUPPORTED PLYWOOD PLATES UNDER COMBINED EDGEWISE BENDING AND COMPRESSION

More information

3D KMC simulation on the precipitation in the annealed ternary alloy system

3D KMC simulation on the precipitation in the annealed ternary alloy system 3D KM simulatin n the precipitatin in the annealed ternary ally system Xuan Zhang, Mengqi Huang Abstract Kinetic Mnte arl methd is used t study the precipitatin phenmenn in binary and ternary ally system,

More information

CS 477/677 Analysis of Algorithms Fall 2007 Dr. George Bebis Course Project Due Date: 11/29/2007

CS 477/677 Analysis of Algorithms Fall 2007 Dr. George Bebis Course Project Due Date: 11/29/2007 CS 477/677 Analysis f Algrithms Fall 2007 Dr. Gerge Bebis Curse Prject Due Date: 11/29/2007 Part1: Cmparisn f Srting Algrithms (70% f the prject grade) The bjective f the first part f the assignment is

More information

Chemistry 20 Lesson 11 Electronegativity, Polarity and Shapes

Chemistry 20 Lesson 11 Electronegativity, Polarity and Shapes Chemistry 20 Lessn 11 Electrnegativity, Plarity and Shapes In ur previus wrk we learned why atms frm cvalent bnds and hw t draw the resulting rganizatin f atms. In this lessn we will learn (a) hw the cmbinatin

More information

ANALYTICAL MODEL FOR PREDICTING STRESS-STRAIN BEHAVIOUR OF BACTERIAL CONCRETE

ANALYTICAL MODEL FOR PREDICTING STRESS-STRAIN BEHAVIOUR OF BACTERIAL CONCRETE Internatinal Jurnal f Civil Engineering and Technlgy (IJCIET) Vlume 9, Issue 11, Nvember 018, pp. 383 393, Article ID: IJCIET_09_11_38 Available nline at http://www.iaeme.cm/ijciet/issues.asp?jtype=ijciet&vtype=9&itype=11

More information

AEDC-TR ABLATION TESTING IN HOT AND COLD COAXIAL JETS - PHASE I, COLD FLOW FEASIBILITY TESTS. April 1970

AEDC-TR ABLATION TESTING IN HOT AND COLD COAXIAL JETS - PHASE I, COLD FLOW FEASIBILITY TESTS. April 1970 ^ ABLATION TESTING IN HOT AND COLD COAXIAL JETS - PHASE I, COLD FLOW FEASIBILITY TESTS R. D. Herrn ARO, Inc. April 1970 This dcument has been apprved fr public release and sale; its distributin is unlimited.

More information

M thematics. National 5 Practice Paper E. Paper 1. Duration 1 hour. Total marks 40

M thematics. National 5 Practice Paper E. Paper 1. Duration 1 hour. Total marks 40 N5 M thematics Natinal 5 Practice Paper E Paper 1 Duratin 1 hur Ttal marks 40 Yu may NOT use a calculatr Attempt all the questins. Use blue r black ink. Full credit will nly be given t slutins which cntain

More information

Medium Scale Integrated (MSI) devices [Sections 2.9 and 2.10]

Medium Scale Integrated (MSI) devices [Sections 2.9 and 2.10] EECS 270, Winter 2017, Lecture 3 Page 1 f 6 Medium Scale Integrated (MSI) devices [Sectins 2.9 and 2.10] As we ve seen, it s smetimes nt reasnable t d all the design wrk at the gate-level smetimes we just

More information

Department of Economics, University of California, Davis Ecn 200C Micro Theory Professor Giacomo Bonanno. Insurance Markets

Department of Economics, University of California, Davis Ecn 200C Micro Theory Professor Giacomo Bonanno. Insurance Markets Department f Ecnmics, University f alifrnia, Davis Ecn 200 Micr Thery Prfessr Giacm Bnann Insurance Markets nsider an individual wh has an initial wealth f. ith sme prbability p he faces a lss f x (0

More information

M thematics. National 5 Practice Paper D. Paper 1. Duration 1 hour. Total marks 40

M thematics. National 5 Practice Paper D. Paper 1. Duration 1 hour. Total marks 40 N5 M thematics Natinal 5 Practice Paper D Paper 1 Duratin 1 hur Ttal marks 40 Yu may NOT use a calculatr Attempt all the questins. Use blue r black ink. Full credit will nly be given t slutins which cntain

More information

Engineering Approach to Modelling Metal THz Structures

Engineering Approach to Modelling Metal THz Structures Terahertz Science and Technlgy, ISSN 1941-7411 Vl.4, N.1, March 11 Invited Paper ngineering Apprach t Mdelling Metal THz Structures Stepan Lucyszyn * and Yun Zhu Department f, Imperial Cllege Lndn, xhibitin

More information

Note on the Convergence of Numerical Solutions of the Navier-Stokes Equations

Note on the Convergence of Numerical Solutions of the Navier-Stokes Equations R?A!_ ~.....; il - 2~ - :,~" F R. & M. No. 3061 (18,481) A.R.C. Technical Report MINISTRY OF SUPPLY AERONAUTICAL RESEARCH COUNCIL REPORTS AND MEMORANDA Note on the Convergence of Numerical Solutions of

More information

Calculating the optimum pressure and temperature for vacancy minimization from theory; Niobium is an example. Jozsef Garai

Calculating the optimum pressure and temperature for vacancy minimization from theory; Niobium is an example. Jozsef Garai Calculating the ptimum pressure and temperature fr vacancy minimizatin frm thery; Nibium is an example Jzsef Garai Department f Mechanical and Materials Engineering, Flrida Internatinal University, Miami,

More information

Problem 1 Known: Dimensions and materials of the composition wall, 10 studs each with 2.5m high

Problem 1 Known: Dimensions and materials of the composition wall, 10 studs each with 2.5m high Prblem Knwn: Dimensins and materials f the cmpsitin wall, 0 studs each with.5m high Unknwn:. Thermal resistance assciate with wall when surfaces nrmal t the directin f heat flw are isthermal. Thermal resistance

More information

Supporting information

Supporting information Electrnic Supplementary Material (ESI) fr Physical Chemistry Chemical Physics This jurnal is The wner Scieties 01 ydrgen perxide electrchemistry n platinum: twards understanding the xygen reductin reactin

More information

(1.1) V which contains charges. If a charge density ρ, is defined as the limit of the ratio of the charge contained. 0, and if a force density f

(1.1) V which contains charges. If a charge density ρ, is defined as the limit of the ratio of the charge contained. 0, and if a force density f 1.0 Review f Electrmagnetic Field Thery Selected aspects f electrmagnetic thery are reviewed in this sectin, with emphasis n cncepts which are useful in understanding magnet design. Detailed, rigrus treatments

More information

39th International Physics Olympiad - Hanoi - Vietnam Theoretical Problem No. 1 /Solution. Solution

39th International Physics Olympiad - Hanoi - Vietnam Theoretical Problem No. 1 /Solution. Solution 39th Internatinal Physics Olympiad - Hani - Vietnam - 8 Theretical Prblem N. /Slutin Slutin. The structure f the mrtar.. Calculating the distance TG The vlume f water in the bucket is V = = 3 3 3 cm m.

More information

MODULE 1. e x + c. [You can t separate a demominator, but you can divide a single denominator into each numerator term] a + b a(a + b)+1 = a + b

MODULE 1. e x + c. [You can t separate a demominator, but you can divide a single denominator into each numerator term] a + b a(a + b)+1 = a + b . REVIEW OF SOME BASIC ALGEBRA MODULE () Slving Equatins Yu shuld be able t slve fr x: a + b = c a d + e x + c and get x = e(ba +) b(c a) d(ba +) c Cmmn mistakes and strategies:. a b + c a b + a c, but

More information

3D FE Modeling Simulation of Cold Rotary Forging with Double Symmetry Rolls X. H. Han 1, a, L. Hua 1, b, Y. M. Zhao 1, c

3D FE Modeling Simulation of Cold Rotary Forging with Double Symmetry Rolls X. H. Han 1, a, L. Hua 1, b, Y. M. Zhao 1, c Materials Science Frum Online: 2009-08-31 ISSN: 1662-9752, Vls. 628-629, pp 623-628 di:10.4028/www.scientific.net/msf.628-629.623 2009 Trans Tech Publicatins, Switzerland 3D FE Mdeling Simulatin f Cld

More information

11. DUAL NATURE OF RADIATION AND MATTER

11. DUAL NATURE OF RADIATION AND MATTER 11. DUAL NATURE OF RADIATION AND MATTER Very shrt answer and shrt answer questins 1. Define wrk functin f a metal? The minimum energy required fr an electrn t escape frm the metal surface is called the

More information

GROWTH PHASES IN THE LIFE OF A LICHEN THALLUS

GROWTH PHASES IN THE LIFE OF A LICHEN THALLUS New Phytl. (974) 73, 93-98. GROWTH PHSES N THE LFE OF LCHEN THLLUS BY R.. RMSTRONG The Btany Schl, Oxfrd University {Received 2 March 974) SUMMRY The grwth rates f thalli f flise saxiclus lichens befre

More information

TEMPERATURE CONSIDERATIONS FOR SCR CONTROLS

TEMPERATURE CONSIDERATIONS FOR SCR CONTROLS AN 10-18 Applicatin Nte 10-18 PAYNE ENGINEERING TEMPERATURE CONSIDERATIONS FOR SCR CONTROLS q = (h c + h r ) A (T s - T amb ) TEMPERATURE CONSIDERATIONS FOR SCR CONTROLS Thyristr cntrls - mre cmmnly called

More information

Determining the Accuracy of Modal Parameter Estimation Methods

Determining the Accuracy of Modal Parameter Estimation Methods Determining the Accuracy f Mdal Parameter Estimatin Methds by Michael Lee Ph.D., P.E. & Mar Richardsn Ph.D. Structural Measurement Systems Milpitas, CA Abstract The mst cmmn type f mdal testing system

More information

Application of ILIUM to the estimation of the T eff [Fe/H] pair from BP/RP

Application of ILIUM to the estimation of the T eff [Fe/H] pair from BP/RP Applicatin f ILIUM t the estimatin f the T eff [Fe/H] pair frm BP/RP prepared by: apprved by: reference: issue: 1 revisin: 1 date: 2009-02-10 status: Issued Cryn A.L. Bailer-Jnes Max Planck Institute fr

More information

I. Analytical Potential and Field of a Uniform Rod. V E d. The definition of electric potential difference is

I. Analytical Potential and Field of a Uniform Rod. V E d. The definition of electric potential difference is Length L>>a,b,c Phys 232 Lab 4 Ch 17 Electric Ptential Difference Materials: whitebards & pens, cmputers with VPythn, pwer supply & cables, multimeter, crkbard, thumbtacks, individual prbes and jined prbes,

More information

Exam #1. A. Answer any 1 of the following 2 questions. CEE 371 October 8, Please grade the following questions: 1 or 2

Exam #1. A. Answer any 1 of the following 2 questions. CEE 371 October 8, Please grade the following questions: 1 or 2 CEE 371 Octber 8, 2009 Exam #1 Clsed Bk, ne sheet f ntes allwed Please answer ne questin frm the first tw, ne frm the secnd tw and ne frm the last three. The ttal ptential number f pints is 100. Shw all

More information