SOLUTION. The reactor thermal output is related to the maximum heat flux in the hot channel by. Z( z ). The position of maximum heat flux ( z max

Size: px
Start display at page:

Download "SOLUTION. The reactor thermal output is related to the maximum heat flux in the hot channel by. Z( z ). The position of maximum heat flux ( z max"

Transcription

1 Te verpwer trip set pit i PWRs is desiged t isure te iu fuel eterlie teperature reais belw a give value T, ad te iiu rati reais abve a give value MR. Fr te give ifrati give a step by step predure, iludig all equatis, fr deteriig te trip set pit wi satisfies tese liits. Fr te purpses f tis prble, yu a assue te lat eters te re igly subled ad a steady state aalysis is valid. Itegrals wi d t ave lsed fr slutis a be left i itegral fr. Fr slutis ivlvig iterati, it is suffiiet t state wi equati(s are t be slved iteratively ad te variable(s t be iterated. Yu ay assue te fllwig ifrati is kw. Yu ay als assue ay eessary fluid ad/r terdyai prperties/relatis are available. Te eat flux prfile i te ael a be assued t be f te fr q q Z were te sape futi Z( is arbitrary but kw. Prble Paraeters Frati f Eergy epsited i Fuel Pwer Peakig Fatr Axial Peak t Average Rati Pressure Nuber f fuel rds Fuel Heigt Rd iaeter Rd Pit (square lattie Cre Ilet Etalpy Cre Mass Flux Gap Cdutae Clad Teral Cdutivity Clad Tikess Pellet iaeter f F q F P rds H S i G H G k t SOLUTION Reatr Teral Pwer Te reatr teral utput is related t te iu eat flux i te ael by Q F H q Q q H f q ffq were q q Z(. Te psiti f iu eat flux ( satisfies dz d, is idepedet f te eat flux agitude ad a be fud fr ay Z(. Give, te prble redues t fidig q tat satisfies te ad fuel teperature liits. Liit

2 Te R at ay lati witi te ael is were q q ( x (, G, P,, rit rit e e i ( xe fg f ( i q d GAx f q rit R q A S x /4 e 4[ S / 4] Te iiu R is te i[r(]. T deterie te value f = (MR TARGET, te fllwig predure a be fllwed. q wi satisfies te liit a Guess a value f q q ( q Z( b At speified ireets fr [ H /, H], pute ( x( q ( R ( ad rit e rit rit rit rit rit MR = i[r(] If MR > (MR TARGET irease q MR < (MR TARGET derease q d Retur t b ad repeat util MR = (MR TARGET q Fuel Ceterlie Liit Te fuel eterlie teperature ( T ( at ay lati is te iterative sluti f

3 69.6 Ts q R l Ts 46 T T 4 4 were te fuel surfae teperature a be writte i ters f te lad surfae teperature i te ael by R R R Ts T q l. RH i G k Ri Te vluetri eat geerati rate is related t te eat flux by q R q. ( ( Te lad teperature is a futi f te lal eat trasfer regie. Sie it is give tat te fluid eters igly subled, te pssible eat trasfer regies are sigle pase fre veti, ixed bilig ad fully develped uleate bilig. Fr a give eat flux, te first step ivlves deteriig te bilig budaries. Trasiti fr Sigle Pase Fred Cveti t Mixed ilig At te Iipiet ilig Pit (,.56 q ( q ( 5.6 P T ( T sat.34.3/ P were is te sigle-pase fred veti eat trasfer effiiet ad a be btaied fr te Weisa Crrelati.8 k Ge C p C( S / e k /3. T ( is te lal fluid teperature ad a be btaied fr te etalpy at ay lati by T T (, P, were ( i q d GAx f Fr a give ass flux, ilet ditis ad eat flux prfile, te ly ukw is, wi ay be slved fr iteratively. Trasiti fr Mixed t Fully evelped Nuleate ilig At te trasiti pit betwee ixed ad fully develped uleate bilig (

4 / q ( q ( q q q q were q ( [ T ( T ] 6 sat q ( T ( T ( q [ T T ] q ( ( sat 6 T T T T (, P Fr a give eat flux prfile ad ael peratig ditis, tese equati redue t a sigle liear equati i te bilig trasiti pit ad ay be slved iteratively T T(, P. Oe te bilig budaries are kw, te lad teperature at ay lati a be deteried. Clad Teperature istributi Give te bilig budaries, te lad teperature is Sigle Pase Fred Cveti Regi [, ] q T T Mixed ilig Regi [, ] Te wall teperature at ay lati i te ixed bilig regi is te sluti f q q ( q q q q were: q ( [ T T ] / q ( 6 [ T ] T sat

5 ad te ly ukw at ay lati is T ( wi ay be slved fr iteratively. 3 Fully evelped Nuleate ilig Regi I te Fully evelped Nuleate ilig Regi, te lad teperature a be deteried diretly fr q T Tsat 6 Predure fr deteriig te eat flux wi satisfies te fuel eterlie liit a Guess q q ( q Z( q( b Cpute te bilig budaries ad At speified ireets fr [, H] pute T (, T ( ad T ( d if [ T ( ] > T derease q s [ T ( ] < T irease q e Retur t b ad repeat util T = T q [ ( ] T Te eat flux wi satisfies bt liits is q i q, q T. Te trip set pit is te H Q TRIP q Z( F f q

A New Method for Finding an Optimal Solution. of Fully Interval Integer Transportation Problems

A New Method for Finding an Optimal Solution. of Fully Interval Integer Transportation Problems Applied Matheatical Scieces, Vl. 4, 200,. 37, 89-830 A New Methd fr Fidig a Optial Sluti f Fully Iterval Iteger Trasprtati Prbles P. Padia ad G. Nataraja Departet f Matheatics, Schl f Advaced Scieces,

More information

Axial Temperature Distribution in W-Tailored Optical Fibers

Axial Temperature Distribution in W-Tailored Optical Fibers Axial Temperature Distributi i W-Tailred Optical ibers Mhamed I. Shehata (m.ismail34@yah.cm), Mustafa H. Aly(drmsaly@gmail.cm) OSA Member, ad M. B. Saleh (Basheer@aast.edu) Arab Academy fr Sciece, Techlgy

More information

Identical Particles. We would like to move from the quantum theory of hydrogen to that for the rest of the periodic table

Identical Particles. We would like to move from the quantum theory of hydrogen to that for the rest of the periodic table We wuld like t ve fr the quatu thery f hydrge t that fr the rest f the peridic table Oe electr at t ultielectr ats This is cplicated by the iteracti f the electrs with each ther ad by the fact that the

More information

Control Systems. Controllability and Observability (Chapter 6)

Control Systems. Controllability and Observability (Chapter 6) 6.53 trl Systems trllaility ad Oservaility (hapter 6) Geeral Framewrk i State-Spae pprah Give a LTI system: x x u; y x (*) The system might e ustale r des t meet the required perfrmae spe. Hw a we imprve

More information

MATH Midterm Examination Victor Matveev October 26, 2016

MATH Midterm Examination Victor Matveev October 26, 2016 MATH 33- Midterm Examiati Victr Matveev Octber 6, 6. (5pts, mi) Suppse f(x) equals si x the iterval < x < (=), ad is a eve peridic extesi f this fucti t the rest f the real lie. Fid the csie series fr

More information

Multi-objective Programming Approach for. Fuzzy Linear Programming Problems

Multi-objective Programming Approach for. Fuzzy Linear Programming Problems Applied Mathematical Scieces Vl. 7 03. 37 8-87 HIKARI Ltd www.m-hikari.cm Multi-bective Prgrammig Apprach fr Fuzzy Liear Prgrammig Prblems P. Padia Departmet f Mathematics Schl f Advaced Scieces VIT Uiversity

More information

Examination No. 3 - Tuesday, Nov. 15

Examination No. 3 - Tuesday, Nov. 15 NAME (lease rit) SOLUTIONS ECE 35 - DEVICE ELECTRONICS Fall Semester 005 Examiati N 3 - Tuesday, Nv 5 3 4 5 The time fr examiati is hr 5 mi Studets are allwed t use 3 sheets f tes Please shw yur wrk, artial

More information

Chapter 8 Sections 8.4 through 8.6 Internal Flow: Heat Transfer Correlations. In fully-developed region. Neglect axial conduction

Chapter 8 Sections 8.4 through 8.6 Internal Flow: Heat Transfer Correlations. In fully-developed region. Neglect axial conduction Chapter 8 Sectin 8.4 thrugh 8.6 Internal Flw: Heat Tranfer Crrelatin T v cu p cp ( rt) k r T T k x r r r r r x In fully-develped regin Neglect axial cnductin u ( rt) r x r r r r r x T v T T T T T u r x

More information

Chapter 3.1: Polynomial Functions

Chapter 3.1: Polynomial Functions Ntes 3.1: Ply Fucs Chapter 3.1: Plymial Fuctis I Algebra I ad Algebra II, yu ecutered sme very famus plymial fuctis. I this secti, yu will meet may ther members f the plymial family, what sets them apart

More information

Chapter 4: Angle Modulation

Chapter 4: Angle Modulation 57 Chapter 4: Agle Modulatio 4.1 Itrodutio to Agle Modulatio This hapter desribes frequey odulatio (FM) ad phase odulatio (PM), whih are both fors of agle odulatio. Agle odulatio has several advatages

More information

Quantum Mechanics for Scientists and Engineers. David Miller

Quantum Mechanics for Scientists and Engineers. David Miller Quatum Mechaics fr Scietists ad Egieers David Miller Time-depedet perturbati thery Time-depedet perturbati thery Time-depedet perturbati basics Time-depedet perturbati thery Fr time-depedet prblems csider

More information

ALE 26. Equilibria for Cell Reactions. What happens to the cell potential as the reaction proceeds over time?

ALE 26. Equilibria for Cell Reactions. What happens to the cell potential as the reaction proceeds over time? Name Chem 163 Secti: Team Number: AL 26. quilibria fr Cell Reactis (Referece: 21.4 Silberberg 5 th editi) What happes t the ptetial as the reacti prceeds ver time? The Mdel: Basis fr the Nerst quati Previusly,

More information

Chapter 9 Frequency-Domain Analysis of Dynamic Systems

Chapter 9 Frequency-Domain Analysis of Dynamic Systems ME 43 Systes Dyaics & Ctrl Chapter 9: Frequecy Dai Aalyis f Dyaic Systes Systes Chapter 9 Frequecy-Dai Aalysis f Dyaic Systes 9. INTRODUCTION A. Bazue The ter Frequecy Respse refers t the steady state

More information

Pipe Networks - Hardy Cross Method Page 1. Pipe Networks

Pipe Networks - Hardy Cross Method Page 1. Pipe Networks Pie Netwrks - Hardy Crss etd Page Pie Netwrks Itrducti A ie etwrk is a itercected set f ies likig e r mre surces t e r mre demad (delivery) its, ad ca ivlve ay umber f ies i series, bracig ies, ad arallel

More information

HCB-3 Edition. Solutions Chapter 12 Problems. SOLUTION: Refer to saturated steam table (Table A3-SI) and superheated steam table (Table A4-SI)

HCB-3 Edition. Solutions Chapter 12 Problems. SOLUTION: Refer to saturated steam table (Table A3-SI) and superheated steam table (Table A4-SI) HCB- Editin 12.1 Slutins Chapter 12 Prbles GIVEN: Fllwing table fr water: T (C p (kpa v ( /kg Phase 60 (1.25 (2 ( 175 (4 Saturated vapr 00 00 (5 (6 100 10 (7 (8 (9 (10 0.001097 Saturated vapr 1000 10 (11

More information

Grade 3 Mathematics Course Syllabus Prince George s County Public Schools

Grade 3 Mathematics Course Syllabus Prince George s County Public Schools Ctet Grade 3 Mathematics Curse Syllabus Price Gerge s Cuty Public Schls Prerequisites: Ne Curse Descripti: I Grade 3, istructial time shuld fcus fur critical areas: (1) develpig uderstadig f multiplicati

More information

th th th The air-fuel ratio is determined by taking the ratio of the mass of the air to the mass of the fuel,

th th th The air-fuel ratio is determined by taking the ratio of the mass of the air to the mass of the fuel, Cheical Reactins 14-14 rpane is burned wi 75 percent excess during a cbustin prcess. The AF rati is t be deterined. Assuptins 1 Cbustin is cplete. The cbustin prducts cntain CO, H O, O, and N nly. rperties

More information

DETERMINATION OF NATURAL FREQUENCY AND DAMPING RATIO

DETERMINATION OF NATURAL FREQUENCY AND DAMPING RATIO Hasa G Pasha DETERMINATION OF NATURAL FREQUENCY AND DAMPING RATIO OBJECTIVE Deterie the atural frequecy ad dapig ratio for a aluiu catilever bea, Calculate the aalytical value of the atural frequecy ad

More information

cannot commute.) this idea, we can claim that the average value of the energy is the sum of such terms over all points in space:

cannot commute.) this idea, we can claim that the average value of the energy is the sum of such terms over all points in space: Che 441 Quatu Cheistry Ntes May, 3 rev VI. Apprxiate Slutis A. Variati Methd ad Huckel Mlecular Orbital (HMO) Calculatis Refereces: Liberles, Ch. 4, Atkis, Ch. 8, Paulig ad Wils Streitweiser, "MO Thery

More information

Solutions. Definitions pertaining to solutions

Solutions. Definitions pertaining to solutions Slutis Defiitis pertaiig t slutis Slute is the substace that is disslved. It is usually preset i the smaller amut. Slvet is the substace that des the disslvig. It is usually preset i the larger amut. Slubility

More information

e) Dates of Violation(S) reference ( page of report /data sheet): March 25, 2010, page 2

e) Dates of Violation(S) reference ( page of report /data sheet): March 25, 2010, page 2 e) tes f Vilti(S) referee ( pge f reprt /dt sheet): Mrh 25, 2, pge 2 ) Explti f use(s): gig trtrs wrkig rretig plt defiieies, d trubleshtig filter prbles. g) rretie ti(s): trtrs d P re wrkig t rret prbles

More information

Daniel López Gaxiola 1 Student View Jason M. Keith

Daniel López Gaxiola 1 Student View Jason M. Keith Suppleental Material for Transport Process and Separation Process Principles Chapter Principles of Moentu Transfer and Overall Balances In fuel cells, the fuel is usually in gas or liquid phase. Thus,

More information

Every gas consists of a large number of small particles called molecules moving with very high velocities in all possible directions.

Every gas consists of a large number of small particles called molecules moving with very high velocities in all possible directions. Kietic thery f gases ( Kietic thery was develped by Berlli, Jle, Clasis, axwell ad Bltzma etc. ad represets dyamic particle r micrscpic mdel fr differet gases sice it thrws light the behir f the particles

More information

rcrit (r C + t m ) 2 ] crit + t o crit The critical radius is evaluated at a given axial location z from the equation + (1 , and D = 4D = 555.

rcrit (r C + t m ) 2 ] crit + t o crit The critical radius is evaluated at a given axial location z from the equation + (1 , and D = 4D = 555. hapter 1 c) When the average bld velcity in the capillary is reduced by a factr f 10, the delivery f the slute t the capillary is liited s that the slute cncentratin after crit 0.018 c is equal t er at

More information

NAME Borough of Manhattan Community College Course Physics 110 Sec 721 Instructor: Dr. Hulan E. Jack Jr. Date December 19, 2006

NAME Borough of Manhattan Community College Course Physics 110 Sec 721 Instructor: Dr. Hulan E. Jack Jr. Date December 19, 2006 Brug f Manattan unity llege urse Pysics 110 Sec 721 nstructr: Dr. Hulan E. Jack Jr. Date Deceber 19, 2006 inal Exa NSTRUTONS - D 7 prbles : D Prble 1, 2 fr Prble 2,3 and 4, 2 fr Prbles 5,6 and 7, 2 fr

More information

E o and the equilibrium constant, K

E o and the equilibrium constant, K lectrchemical measuremets (Ch -5 t 6). T state the relati betwee ad K. (D x -b, -). Frm galvaic cell vltage measuremet (a) K sp (D xercise -8, -) (b) K sp ad γ (D xercise -9) (c) K a (D xercise -G, -6)

More information

(s)h(s) = K( s + 8 ) = 5 and one finite zero is located at z 1

(s)h(s) = K( s + 8 ) = 5 and one finite zero is located at z 1 ROOT LOCUS TECHNIQUE 93 should be desiged differetly to eet differet specificatios depedig o its area of applicatio. We have observed i Sectio 6.4 of Chapter 6, how the variatio of a sigle paraeter like

More information

The Excel FFT Function v1.1 P. T. Debevec February 12, The discrete Fourier transform may be used to identify periodic structures in time ht.

The Excel FFT Function v1.1 P. T. Debevec February 12, The discrete Fourier transform may be used to identify periodic structures in time ht. The Excel FFT Fucti v P T Debevec February 2, 26 The discrete Furier trasfrm may be used t idetify peridic structures i time ht series data Suppse that a physical prcess is represeted by the fucti f time,

More information

Sound Absorption Characteristics of Membrane- Based Sound Absorbers

Sound Absorption Characteristics of Membrane- Based Sound Absorbers Purdue e-pubs Publicatis f the Ray W. Schl f Mechaical Egieerig 8-28-2003 Sud Absrpti Characteristics f Membrae- Based Sud Absrbers J Stuart Blt, blt@purdue.edu Jih Sg Fllw this ad additial wrks at: http://dcs.lib.purdue.edu/herrick

More information

Electrostatics. . where,.(1.1) Maxwell Eqn. Total Charge. Two point charges r 12 distance apart in space

Electrostatics. . where,.(1.1) Maxwell Eqn. Total Charge. Two point charges r 12 distance apart in space Maxwell Eq. E ρ Electrstatics e. where,.(.) first term is the permittivity i vacuum 8.854x0 C /Nm secd term is electrical field stregth, frce/charge, v/m r N/C third term is the charge desity, C/m 3 E

More information

Markov processes and the Kolmogorov equations

Markov processes and the Kolmogorov equations Chapter 6 Markv prcesses ad the Klmgrv equatis 6. Stchastic Differetial Equatis Csider the stchastic differetial equati: dx(t) =a(t X(t)) dt + (t X(t)) db(t): (SDE) Here a(t x) ad (t x) are give fuctis,

More information

Homework (Kittel 7.1) Density of orbitals in one and two dimensions.

Homework (Kittel 7.1) Density of orbitals in one and two dimensions. Hoework 8.. Kittel 7. esity of orbitals i oe a two iesios. a Sow tat te esity of orbitals of a free eletro i oe iesio is were is te legt of te lie. b. Sow tat i two iesios, for a square of area, iepeet

More information

Digital Signal Processing. Homework 2 Solution. Due Monday 4 October Following the method on page 38, the difference equation

Digital Signal Processing. Homework 2 Solution. Due Monday 4 October Following the method on page 38, the difference equation Digital Sigal Proessig Homework Solutio Due Moda 4 Otober 00. Problem.4 Followig the method o page, the differee equatio [] (/4[-] + (/[-] x[-] has oeffiiets a0, a -/4, a /, ad b. For these oeffiiets A(z

More information

Modeling Micromixing Effects in a CSTR

Modeling Micromixing Effects in a CSTR delig irixig Effes i a STR STR, f all well behaved rears, has he wides RTD i.e. This eas ha large differees i perfrae a exis bewee segregaed flw ad perais a axiu ixedess diis. The easies hig rea is he

More information

Chapter 5: Properties of Solutions

Chapter 5: Properties of Solutions hapter 5: rperties Slutis 1. Wax is a slid ixture hydrcar cpuds csistig lecules with lg chais car ats. Which slvet wuld yu expect t e st capale disslvig wax? N-plar will disslve i plar slvet a. HOH. H

More information

First-Principles Modelling of Electrospraying, and the Effects of Dissipation in Electrospray Thrusters

First-Principles Modelling of Electrospraying, and the Effects of Dissipation in Electrospray Thrusters First-Priciples Mdellig f Electrsprayig, ad the Effects f Dissipati i Electrspray Thrusters IEPC-7-49 Preseted at the 35th Iteratial Electric Prpulsi Cferece Gergia Istitute f Techlgy Atlata, Gergia USA

More information

The state space model needs 5 parameters, so it is not as convenient to use in this control study.

The state space model needs 5 parameters, so it is not as convenient to use in this control study. Trasfer fuctio for of the odel G θ K ω 2 θ / v θ / v ( s) = = 2 2 vi s + 2ζωs + ω The followig slides detail a derivatio of this aalog eter odel both as state space odel ad trasfer fuctio (TF) as show

More information

Turbulent entry length. 7.3 Turbulent pipe flow. Turbulent entry length. Illustrative experiment. The Reynolds analogy and heat transfer

Turbulent entry length. 7.3 Turbulent pipe flow. Turbulent entry length. Illustrative experiment. The Reynolds analogy and heat transfer Turulet etry legt 7.3 Turulet ie l Etry legts x e ad x et are geerally srter turulet l ta lamar l Termal etry legts, x et /, r a case it q cst imsed a ydrdyamically ully develed l 7.3 Turulet ie l ill

More information

Solutions to Midterm II. of the following equation consistent with the boundary condition stated u. y u x y

Solutions to Midterm II. of the following equation consistent with the boundary condition stated u. y u x y Sltis t Midterm II Prblem : (pts) Fid the mst geeral slti ( f the fllwig eqati csistet with the bdary cditi stated y 3 y the lie y () Slti : Sice the system () is liear the slti is give as a sperpsiti

More information

Study of Energy Eigenvalues of Three Dimensional. Quantum Wires with Variable Cross Section

Study of Energy Eigenvalues of Three Dimensional. Quantum Wires with Variable Cross Section Adv. Studies Ther. Phys. Vl. 3 009. 5 3-0 Study f Eergy Eigevalues f Three Dimesial Quatum Wires with Variale Crss Secti M.. Sltai Erde Msa Departmet f physics Islamic Aad Uiversity Share-ey rach Ira alrevahidi@yah.cm

More information

Lecture 10: Bounded Linear Operators and Orthogonality in Hilbert Spaces

Lecture 10: Bounded Linear Operators and Orthogonality in Hilbert Spaces Lecture : Bouded Liear Operators ad Orthogoality i Hilbert Spaces 34 Bouded Liear Operator Let ( X, ), ( Y, ) i i be ored liear vector spaces ad { } X Y The, T is said to be bouded if a real uber c such

More information

University of Washington Department of Chemistry Chemistry 453 Winter Quarter 2015

University of Washington Department of Chemistry Chemistry 453 Winter Quarter 2015 Uiversity of Wasigto Departmet of Cemistry Cemistry 453 Witer Quarter 15 Lecture 14. /11/15 Recommeded Text Readig: Atkis DePaula: 9.1, 9., 9.3 A. Te Equipartitio Priciple & Eergy Quatizatio Te Equipartio

More information

Keywords : Distributed Load, Non-uniform, Elastic Foundation, moving Mass. GJSFR-F Classication : FOR Code:

Keywords : Distributed Load, Non-uniform, Elastic Foundation, moving Mass. GJSFR-F Classication : FOR Code: Glbal Jural Sciece Frtier Research Matheatics & Decisi Scieces Vlue 1 Issue 3 Versi 1. March 1 Type : Duble Blid Peer Reviewed Iteratial Research Jural Publisher: Glbal Jurals Ic. (USA Olie ISSN: 49-466

More information

Partial Differential Equations

Partial Differential Equations EE 84 Matematical Metods i Egieerig Partial Differetial Eqatios Followig are some classical partial differetial eqatios were is assmed to be a fctio of two or more variables t (time) ad y (spatial coordiates).

More information

School of Mechanical Engineering Purdue University. ME375 Transfer Functions - 1

School of Mechanical Engineering Purdue University. ME375 Transfer Functions - 1 Trasfer Fuctio Aalysis Free & Forced Resposes Trasfer Fuctio Syste Stability ME375 Trasfer Fuctios - 1 Free & Forced Resposes Ex: Let s look at a stable first order syste: y y Ku Take LT of the I/O odel

More information

are specified , are linearly independent Otherwise, they are linearly dependent, and one is expressed by a linear combination of the others

are specified , are linearly independent Otherwise, they are linearly dependent, and one is expressed by a linear combination of the others Chater 3. Higher Order Liear ODEs Kreyszig by YHLee;4; 3-3. Hmgeeus Liear ODEs The stadard frm f the th rder liear ODE ( ) ( ) = : hmgeeus if r( ) = y y y y r Hmgeeus Liear ODE: Suersiti Pricile, Geeral

More information

6-5. H 2 O 200 kpa 200 C Q. Entropy Changes of Pure Substances

6-5. H 2 O 200 kpa 200 C Q. Entropy Changes of Pure Substances Canges f ure Substances 6-0C Yes, because an ternally reversible, adiabatic prcess vlves n irreversibilities r eat transfer. 6- e radiatr f a steam eatg system is itially filled wit supereated steam. e

More information

u = A Z Chemistry 110 Fall 2010 Rayleigh-Jeans Law for Blackbody SI Units SI Units Secondary Units written in terms of Primary

u = A Z Chemistry 110 Fall 2010 Rayleigh-Jeans Law for Blackbody SI Units SI Units Secondary Units written in terms of Primary SI Uits Key Study Pits fr Petrucci et al., Secdary Uits writte i terms f Primary Capters 8 & 9 Nte: Fudametal cstats ad a peridic table will be prvided te midterm but equatis will t be give. Cemistry 0

More information

Vasyl Moisyshyn*, Bogdan Borysevych*, Oleg Vytyaz*, Yuriy Gavryliv*

Vasyl Moisyshyn*, Bogdan Borysevych*, Oleg Vytyaz*, Yuriy Gavryliv* AGH DRILLING, OIL, GAS Vol. 3 No. 3 204 http://dx.doi.org/0.7494/drill.204.3.3.43 Vasyl Moisyshy*, Bogda Borysevych*, Oleg Vytyaz*, Yuriy Gavryliv* DEVELOPMENT OF THE MATHEMATICAL MODELS OF THE INTEGRAL

More information

Exergoeconomic Analysis of Two-stage Thermoelectric Cooler with Genetic Algorithm Sudhanshu Sharma a,*, V. K. Dwivedi b, S. N.

Exergoeconomic Analysis of Two-stage Thermoelectric Cooler with Genetic Algorithm Sudhanshu Sharma a,*, V. K. Dwivedi b, S. N. Vlue 4, Issue 1(016) 4-8 ISSN 347-358 Iteratial Jural f Advae Resear ad Ivati Exergei Aalysis f -stage ereletri Cler it Geeti Algrit Sudasu Sara a,*, V. K. Divedi b, S. N. Padit a Deartet f Meaial Egieerig,

More information

Physics 321 Solutions for Final Exam

Physics 321 Solutions for Final Exam Page f 8 Physics 3 Slutins fr inal Exa ) A sall blb f clay with ass is drpped fr a height h abve a thin rd f length L and ass M which can pivt frictinlessly abut its center. The initial situatin is shwn

More information

The maximum heat transfer rate is for an infinite area counter flow heat exchanger.

The maximum heat transfer rate is for an infinite area counter flow heat exchanger. IAM Heat Exangers 9. Aendix Illustratin f se nets in eat exangers 9.. Heat Exanger Effetiveness is is defined as: Atual Heat ransfer ate Maxiu Pssible Heat ransfer ate q q ax e axiu eat transfer rate is

More information

Fourier Method for Solving Transportation. Problems with Mixed Constraints

Fourier Method for Solving Transportation. Problems with Mixed Constraints It. J. Ctemp. Math. Scieces, Vl. 5, 200,. 28, 385-395 Furier Methd fr Slvig Trasprtati Prblems with Mixed Cstraits P. Padia ad G. Nataraja Departmet f Mathematics, Schl f Advaced Scieces V I T Uiversity,

More information

Heat exchanger. Heat exchanger

Heat exchanger. Heat exchanger s are deves n w eat s transferred between tw fluds at dfferent teperatures wtut any xng f fluds. type. Dret eat transfer type 2. Strage type 3. Dret ntat type ttps://www.faebk./0000085304058/vdes/96230780490756/.

More information

Chapter 2. Asymptotic Notation

Chapter 2. Asymptotic Notation Asyptotic Notatio 3 Chapter Asyptotic Notatio Goal : To siplify the aalysis of ruig tie by gettig rid of details which ay be affected by specific ipleetatio ad hardware. [1] The Big Oh (O-Notatio) : It

More information

A Simplified Nonlinear Generalized Maxwell Model for Predicting the Time Dependent Behavior of Viscoelastic Materials

A Simplified Nonlinear Generalized Maxwell Model for Predicting the Time Dependent Behavior of Viscoelastic Materials Wrld Jural f Mechaics, 20,, 58-67 di:0.4236/wj.20.302 Published Olie Jue 20 (http://www.scirp.rg/jural/wj) A Siplified Nliear Geeralized Maxwell Mdel fr Predictig the Tie Depedet Behavir f Viscelastic

More information

REVERSIBLE NON-FLOW PROCESS CONSTANT VOLUME PROCESS (ISOCHORIC PROCESS) In a constant volume process, he working substance is contained in a rigid

REVERSIBLE NON-FLOW PROCESS CONSTANT VOLUME PROCESS (ISOCHORIC PROCESS) In a constant volume process, he working substance is contained in a rigid REVERSIBLE NON-FLOW PROCESS CONSTANT VOLUME PROCESS (ISOCHORIC PROCESS) I a ostat olume roess, he workig substae is otaied i a rigid essel, hee the boudaries of the system are immoable, so work aot be

More information

Mechanical Vibrations

Mechanical Vibrations Mechaical Vibratios Cotets Itroductio Free Vibratios o Particles. Siple Haroic Motio Siple Pedulu (Approxiate Solutio) Siple Pedulu (Exact Solutio) Saple Proble 9. Free Vibratios o Rigid Bodies Saple Proble

More information

Dynamic Response of Second Order Mechanical Systems with Viscous Dissipation forces

Dynamic Response of Second Order Mechanical Systems with Viscous Dissipation forces Hadut #a (pp. 1-39) Dyamic Respse f Secd Order Mechaical Systems with Viscus Dissipati frces d X d X + + = ext() t M D K X F dt dt Free Respse t iitial cditis ad F (t) = 0, Uderdamped, Critically Damped

More information

A Hartree-Fock Calculation of the Water Molecule

A Hartree-Fock Calculation of the Water Molecule Chemistry 460 Fall 2017 Dr. Jea M. Stadard Nvember 29, 2017 A Hartree-Fck Calculati f the Water Mlecule Itrducti A example Hartree-Fck calculati f the water mlecule will be preseted. I this case, the water

More information

Main components of the above cycle are: 1) Boiler (steam generator) heat exchanger 2) Turbine generates work 3) Condenser heat exchanger 4) Pump

Main components of the above cycle are: 1) Boiler (steam generator) heat exchanger 2) Turbine generates work 3) Condenser heat exchanger 4) Pump Introducton to Terodynacs, Lecture -5 Pro. G. Cccarell (0 Applcaton o Control olue Energy Analyss Most terodynac devces consst o a seres o coponents operatng n a cycle, e.g., stea power plant Man coponents

More information

Transfer Function Analysis

Transfer Function Analysis Trasfer Fuctio Aalysis Free & Forced Resposes Trasfer Fuctio Syste Stability ME375 Trasfer Fuctios - Free & Forced Resposes Ex: Let s s look at a stable first order syste: τ y + y = Ku Take LT of the I/O

More information

Lecture 18. MSMPR Crystallization Model

Lecture 18. MSMPR Crystallization Model ecture 18. MSMPR Crystalliati Mdel MSMPR Crystalliati Mdel Crystal-Ppulati alace - Number f crystals - Cumulative umber f crystals - Predmiat crystal sie - Grwth rate MSMPR Crystalliati Mdel Mixed-suspesi,

More information

REDUCING THE POSSIBILITY OF SUBJECTIVE ERROR IN THE DETERMINATION OF THE STRUCTURE-FUNCTION-BASED EFFECTIVE THERMAL CONDUCTIVITY OF BOARDS

REDUCING THE POSSIBILITY OF SUBJECTIVE ERROR IN THE DETERMINATION OF THE STRUCTURE-FUNCTION-BASED EFFECTIVE THERMAL CONDUCTIVITY OF BOARDS Nice, Côte d Azur, Frace, 27-29 Septeber 2006 REDUCING THE POSSIBILITY OF SUBJECTIVE ERROR IN THE DETERMINATION OF THE STRUCTURE-FUNCTION-BASED EFFECTIVE THERMAL CONDUCTIVITY OF BOARDS Erő Kollár, Vladiír

More information

Earlier Lecture. This gas tube is called as Pulse Tube and this phenomenon is called as Pulse Tube action.

Earlier Lecture. This gas tube is called as Pulse Tube and this phenomenon is called as Pulse Tube action. 31 1 Earlier Leture In te earlier leture, we ave seen a Pulse Tube (PT) ryoooler in wi te meanial displaer is removed and an osillating gas flow in te tin walled tube produes ooling. Tis gas tube is alled

More information

Chapter 3. Problem Solutions

Chapter 3. Problem Solutions Capter. Proble Solutions. A poton and a partile ave te sae wavelengt. Can anyting be said about ow teir linear oenta opare? About ow te poton's energy opares wit te partile's total energy? About ow te

More information

STRUCTURES IN MIKE 21. Flow over sluice gates A-1

STRUCTURES IN MIKE 21. Flow over sluice gates A-1 A-1 STRUCTURES IN MIKE 1 Fl ver luice gate Fr a give gemetry f the luice gate ad k ater level uptream ad dtream f the tructure, the fl rate, ca be determied thrugh the equati f eergy ad mmetum - ee B Pedere,

More information

S. A. ALIEV, Y. I. YELEYKO, Y. V. ZHERNOVYI. STEADY-STATE DISTRIBUTIONS FOR CERTAIN MODIFICATIONS OF THE M/M/1/m QUEUEING SYSTEM

S. A. ALIEV, Y. I. YELEYKO, Y. V. ZHERNOVYI. STEADY-STATE DISTRIBUTIONS FOR CERTAIN MODIFICATIONS OF THE M/M/1/m QUEUEING SYSTEM Trasactios of Azerbaija Natioal Acadey of Scieces, Series of Physical-Techical ad Matheatical Scieces: Iforatics ad Cotrol Probles 009 Vol XXIX, 6 P 50-58 S A ALIEV, Y I YELEYKO, Y V ZHERNOVYI STEADY-STATE

More information

(b) The heat transfer can be determined from an energy balance on the system

(b) The heat transfer can be determined from an energy balance on the system 8-5 Heat is transferred to a iston-cylinder device wit a set of stos. e work done, te eat transfer, te exergy destroyed, and te second-law efficiency are to be deterined. Assutions e device is stationary

More information

/ / MET Day 000 NC1^ INRTL MNVR I E E PRE SLEEP K PRE SLEEP R E

/ / MET Day 000 NC1^ INRTL MNVR I E E PRE SLEEP K PRE SLEEP R E 05//0 5:26:04 09/6/0 (259) 6 7 8 9 20 2 22 2 09/7 0 02 0 000/00 0 02 0 04 05 06 07 08 09 0 2 ay 000 ^ 0 X Y / / / / ( %/ ) 2 /0 2 ( ) ^ 4 / Y/ 2 4 5 6 7 8 9 2 X ^ X % 2 // 09/7/0 (260) ay 000 02 05//0

More information

Chapter 1 Electrons, Bonds and Molecular Properties

Chapter 1 Electrons, Bonds and Molecular Properties hapter 1 Electrons, Bonds and Molecular Properties Review of oncepts Fill in the blanks below. To verify that your answers are correct, look in your textbook at the end of hapter 1. Each of the sentences

More information

Unit -2 THEORY OF DILUTE SOLUTIONS

Unit -2 THEORY OF DILUTE SOLUTIONS Uit - THEORY OF DILUTE SOLUTIONS 1) hat is sluti? : It is a hmgeus mixture f tw r mre cmpuds. ) hat is dilute sluti? : It is a sluti i which slute ccetrati is very less. 3) Give a example fr slid- slid

More information

SEQUENTIAL ESTIMATION IN A SUBCLASS OF EXPONENTIAL FAMILY UNDER WEIGHTED SQUARED ERROR LOSS *

SEQUENTIAL ESTIMATION IN A SUBCLASS OF EXPONENTIAL FAMILY UNDER WEIGHTED SQUARED ERROR LOSS * Iraia Jural f iee & Tehlgy Trasati A Vl.. A Prited i The Islami Republi f Ira 007 hiraz Uiersity QUTIAL TIMATIO I A UBCLA OF POTIAL FAMIL UDR WIGHTD QUARD RROR LO *. MATOLLAHI ** M. JAFARI JOZAI AD. MAHLOOJI

More information

Fluids Lecture 2 Notes

Fluids Lecture 2 Notes Fluids Leture Notes. Airfoil orte Sheet Models. Thi-Airfoil Aalysis Problem Readig: Aderso.,.7 Airfoil orte Sheet Models Surfae orte Sheet Model A aurate meas of represetig the flow about a airfoil i a

More information

Exercises for Frequency Response. ECE 102, Winter 2011, F. Najmabadi

Exercises for Frequency Response. ECE 102, Winter 2011, F. Najmabadi Eercses r Frequency espnse EE 0, Wnter 0, F. Najabad Eercse : A Mdy the crcut belw t nclude a dnant ple at 00 Mz ( 00 Ω, k, k, / 00 Ω, λ 0, and nre nternal capactances the MOS. pute the dnant ple n the

More information

Application of Homotopy Analysis Method for Solving various types of Problems of Ordinary Differential Equations

Application of Homotopy Analysis Method for Solving various types of Problems of Ordinary Differential Equations Iteratioal Joural o Recet ad Iovatio Treds i Coputig ad Couicatio IN: 31-8169 Volue: 5 Issue: 5 16 Applicatio of Hootopy Aalysis Meod for olvig various types of Probles of Ordiary Differetial Equatios

More information

Observer Design with Reduced Measurement Information

Observer Design with Reduced Measurement Information Observer Desig with Redued Measuremet Iformatio I pratie all the states aot be measured so that SVF aot be used Istead oly a redued set of measuremets give by y = x + Du p is available where y( R We assume

More information

x 2 x 3 x b 0, then a, b, c log x 1 log z log x log y 1 logb log a dy 4. dx As tangent is perpendicular to the x axis, slope

x 2 x 3 x b 0, then a, b, c log x 1 log z log x log y 1 logb log a dy 4. dx As tangent is perpendicular to the x axis, slope The agle betwee the tagets draw t the parabla y = frm the pit (-,) 5 9 6 Here give pit lies the directri, hece the agle betwee the tagets frm that pit right agle Ratig :EASY The umber f values f c such

More information

DYNAMICS VECTOR MECHANICS FOR ENGINEERS: Mechanical Vibrations. Seventh Edition CHAPTER. Ferdinand P. Beer E. Russell Johnston, Jr.

DYNAMICS VECTOR MECHANICS FOR ENGINEERS: Mechanical Vibrations. Seventh Edition CHAPTER. Ferdinand P. Beer E. Russell Johnston, Jr. Seveth Editio CHAPTER 9 VECTOR MECHANICS FOR ENGINEERS: DYNAMICS Ferdiad P. Beer E. Russell Johsto, Jr. Mechaical Vibratios Lecture Notes: J. Walt Oler Texas Tech Uiversity 003 The McGraw-Hill Copaies,

More information

ACTIVE FILTERS EXPERIMENT 2 (EXPERIMENTAL)

ACTIVE FILTERS EXPERIMENT 2 (EXPERIMENTAL) EXPERIMENT ATIVE FILTERS (EXPERIMENTAL) OBJETIVE T desig secd-rder lw pass ilters usig the Salle & Key (iite psitive- gai) ad iiite-gai apliier dels. Oe circuit will exhibit a Butterwrth respse ad the

More information

Absorption and Emission of Radiation: Time Dependent Perturbation Theory Treatment

Absorption and Emission of Radiation: Time Dependent Perturbation Theory Treatment Absorptio ad Eissio of Radiatio: Tie Depedet Perturbatio Theory Treatet Wat Hailtoia for Charged Partile i E & M Field Need the potetial U. Fore o Charged Partile: 1 F e E V B Fore (geeralized for i Lagragia

More information

Chapter 4. Problem Solutions

Chapter 4. Problem Solutions Chapter 4. Prblem Slutis. The great majrity f alpha particles pass thrugh gases ad thi metal fils with deflectis. T what cclusi abut atmic structure des this bservati lead? The fact that mst particles

More information

Computational Methods CMSC/AMSC/MAPL 460. Quadrature: Integration

Computational Methods CMSC/AMSC/MAPL 460. Quadrature: Integration Computatioal Metods CMSC/AMSC/MAPL 6 Quadrature: Itegratio Ramai Duraiswami, Dept. o Computer Siee Some material adapted rom te olie slides o Eri Sadt ad Diae O Leary Numerial Itegratio Idea is to do itegral

More information

Lecture 3 Heat Exchangers

Lecture 3 Heat Exchangers L3 Leture 3 Heat Exangers Heat Exangers. Heat Exangers Transfer eat from one fluid to anoter. Want to imise neessary ardware. Examples: boilers, ondensors, ar radiator, air-onditioning oils, uman body.

More information

WEST VIRGINIA UNIVERSITY

WEST VIRGINIA UNIVERSITY WEST VIRGINIA UNIVERSITY PLASMA PHYSICS GROUP INTERNAL REPORT PL - 045 Mea Optical epth ad Optical Escape Factr fr Helium Trasitis i Helic Plasmas R.F. Bivi Nvember 000 Revised March 00 TABLE OF CONTENT.0

More information

Module 7: Solved Problems

Module 7: Solved Problems Mdule 7: Slved Prblems 1 A tn-walled nentr tube eat exanger f 019-m lengt s t be used t eat denzed water frm 40 t 60 at a flw rate f 5 kg/s te denzed water flws trug te nner tube f 30-mm dameter wle t

More information

General Amplifiers. Analog Electronics Circuits Nagamani A N. Lecturer, PESIT, Bangalore 85. Cascade connection - FET & BJT

General Amplifiers. Analog Electronics Circuits Nagamani A N. Lecturer, PESIT, Bangalore 85.  Cascade connection - FET & BJT Analg lectrnics Circuits Nagamani A N Lecturer, PST, Bangalre 85 mail nagamani@pes.edu General Amplifiers Cascade cnnectin - FT & BJT Numerical Cascde cnnectin arlingtn cnnectin Packaged arlingtn cnnectin

More information

Ch. 1 Introduction to Estimation 1/15

Ch. 1 Introduction to Estimation 1/15 Ch. Itrducti t stimati /5 ample stimati Prblem: DSB R S f M f s f f f ; f, φ m tcsπf t + φ t f lectrics dds ise wt usually white BPF & mp t s t + w t st. lg. f & φ X udi mp cs π f + φ t Oscillatr w/ f

More information

11. Ideal Gas Mixture

11. Ideal Gas Mixture . Ideal Ga xture. Geeral oderato ad xture of Ideal Gae For a geeral xture of N opoet, ea a pure ubtae [kg ] te a for ea opoet. [kol ] te uber of ole for ea opoet. e al a ( ) [kg ] N e al uber of ole (

More information

Conventional propellers in CRP-POD configuration. Tests and extrapolation.

Conventional propellers in CRP-POD configuration. Tests and extrapolation. ifth Iteratial ypsiu Marie Prpulsrs MP 17, Esp, ilad, ue 017 vetial prpellers i P-PO cfigurati. ests ad extraplati. aó uereda 1, Maria Pérez-bri, ua Gzález-Adalid, ristia ria 1 1 Ita-ehipar, aal de Experiecias

More information

An object is placed 20 cm in front of a convex mirror that has a radius of curvature of magnitude 16 cm (note this is not the focal length).

An object is placed 20 cm in front of a convex mirror that has a radius of curvature of magnitude 16 cm (note this is not the focal length). A bjet is plae 0 m i frt f a ex mirrr that has a raius f urature f magitue 6 m (te this is t the fal legth). ) Desribe the image frme: a) real a ierte b) real a upright ) irtual a ierte ) irtual a upright

More information

Chemistry 432 Problem Set 11 Spring 2018 Solutions

Chemistry 432 Problem Set 11 Spring 2018 Solutions 1. Show that for an ideal gas Cheistry 432 Proble Set 11 Spring 2018 Solutions P V 2 3 < KE > where is the average kinetic energy of the gas olecules. P 1 3 ρ v2 KE 1 2 v2 ρ N V P V 1 3 N v2 2 3 N

More information

MATHEMATICS 9740/01 Paper 1 14 Sep hours

MATHEMATICS 9740/01 Paper 1 14 Sep hours Cadidate Name: Class: JC PRELIMINARY EXAM Higher MATHEMATICS 9740/0 Paper 4 Sep 06 3 hurs Additial Materials: Cver page Aswer papers List f Frmulae (MF5) READ THESE INSTRUCTIONS FIRST Write yur full ame

More information

Data Sheet. ACPL-8x7 Multi-Channel Full-Pitch Phototransistor Optocoupler. Description. Features. ACPL-827 pin layout.

Data Sheet. ACPL-8x7 Multi-Channel Full-Pitch Phototransistor Optocoupler. Description. Features. ACPL-827 pin layout. ACPL-8x7 Multi-Channel ull-pitch Phttransistr Optcupler Data Sheet Lead (Pb) ree RHS 6 fully cmpliant RHS 6 fully cmpliant ptins available; -xxxe dentes a lead-free prduct Descriptin The ACPL-827 is a

More information

FILE NAME I:\120183\Elec\120183_E-119.dwg SAVED ON 1/28/2013 2:04 PM PLOTTED ON 1/28/2013 2:04 PM PLOTTED BY HUANG, TINGEN

FILE NAME I:\120183\Elec\120183_E-119.dwg SAVED ON 1/28/2013 2:04 PM PLOTTED ON 1/28/2013 2:04 PM PLOTTED BY HUANG, TINGEN ARHTETURE EGEERG TERR DESG SHELT, ETUT HARTFRD, ETUT SMERSET, EW JERSEY EW YRK, EW YRK APLES, FLRDA ST, MASSAHUSETTS 617-524 - 5200 SULTAT: THS DRAWG AD DETAL T, AS A STRUMET F SERVE, S THE PRPERTY F FLETHER

More information

INDEPENDENT COMPONENT ANALYSIS USING JAYNES MAXIMUM ENTROPY PRINCIPLE. Deniz Erdogmus, Kenneth E. Hild II, Yadunandana N. Rao, Jose C.

INDEPENDENT COMPONENT ANALYSIS USING JAYNES MAXIMUM ENTROPY PRINCIPLE. Deniz Erdogmus, Kenneth E. Hild II, Yadunandana N. Rao, Jose C. IDEPEDE COMPOE AALYSIS USIG JAYES MAXIMUM EROPY PRICIPLE Deiz Erdgus, Keeth E. Hild II, Yaduadaa. Ra, Jse C. Pricipe CEL, ECE Departet, Uiversity f Flrida, Gaiesville, FL 326, USA ABSRAC ICA deals with

More information

[1 & α(t & T 1. ' ρ 1

[1 & α(t & T 1. ' ρ 1 NAME 89.304 - IGNEOUS & METAMORPHIC PETROLOGY DENSITY & VISCOSITY OF MAGMAS I. Desity The desity (mass/vlume) f a magma is a imprtat parameter which plays a rle i a umber f aspects f magma behavir ad evluti.

More information

6.867 Machine learning, lecture 14 (Jaakkola)

6.867 Machine learning, lecture 14 (Jaakkola) 6.867 Machie learig, lecture 14 (Jaakkla) 1 Lecture tpics: argi ad geeralizati liear classifiers esebles iture dels Margi ad geeralizati: liear classifiers As we icrease the uber f data pits, ay set f

More information

Sinusoidal Steady-state Analysis

Sinusoidal Steady-state Analysis Siusoidal Steady-state Aalysis Complex umber reviews Phasors ad ordiary differetial equatios Complete respose ad siusoidal steady-state respose Cocepts of impedace ad admittace Siusoidal steady-state aalysis

More information

Lecture 19. Curve fitting I. 1 Introduction. 2 Fitting a constant to measured data

Lecture 19. Curve fitting I. 1 Introduction. 2 Fitting a constant to measured data Lecture 9 Curve fittig I Itroductio Suppose we are preseted with eight poits of easured data (x i, y j ). As show i Fig. o the left, we could represet the uderlyig fuctio of which these data are saples

More information