Finite Element Based Implementation of Fiala s Thermal Manikin in THESEUS-FE

Size: px
Start display at page:

Download "Finite Element Based Implementation of Fiala s Thermal Manikin in THESEUS-FE"

Transcription

1 Fnt Elmnt Basd Implmntaton of Fala s hrmal Mankn n HESEUS-FE Author: Dr. Stfan Paulk (chncal Managr) VMS,

2 Global Modllng Mankn Implmntaton Global Human Hat Fluxs Human mpratur Valdaton Global hrmal Comfort Prdcton Local hrmal Comfort Prdcton / Optmzaton Author: Dr. Stfan Paulk (chncal Managr) VMS,

3 Global Modllng Author: Dr. Stfan Paulk (chncal Managr) VMS,

4 Global Modllng HESEUS-FE conductv sold structur fnt lmnts: shlls, solds, contact, mankns body lm. (+ blood crcut) unknowns: thrmal loads radaton convcton rspraton vaporaton blood prfuson mtabolsm arzons unknowns: ar, RH ar swatng vasomoton mankn (act. systm) shvrng vntlatons xtrnal flud solvrs (.g. sndng: local vlocts) hat xchang mass flow affctng Author: Dr. Stfan Paulk (chncal Managr) VMS,

5 Mankn FIALA-FE Gomtr Shll-FE Gomtr Fala s Sold-FE Modl dgr of frdom hands not shown HESEUS-FE: Pr/Post-Prozssor ths FE modl s usd for - usrs dfnton of bound. cond. - vwfactor calculaton - rsult vsualsaton (.g. tmp.) HESEUS-FE: Solvr h nrgy balanc wll b solvd wth ths sold-typ fnt lmnts that rprsnt th body lmnts of Fala s passv systm. Body lmnts ar connctd fa blood flow. layr (arm) skn fat muscl bon Author: Dr. Stfan Paulk (chncal Managr) VMS,

6 Postprocssng skn tmpraturs at ntal stat of smulaton:...at fnal stat of smulaton: locally hatd by sun hatd by contact thrmal nutralty coold by vntlatons Author: Dr. Stfan Paulk (chncal Managr) VMS,

7 Mankn Dscrtzaton had/bran nck usr dfnd clothng paramtrs (I cl, cl, f cl ) thorax abdomn sctors sub-layr body lmnts uppr lg... matral layr FE! Author: Dr. Stfan Paulk (chncal Managr) VMS,

8 8 Author: Dr. Stfan Paulk (chncal Managr) VMS, ϕ ψ η radal hat conducton of cylndrcal/sphrcal body lmnts ( ) Q r k t c bla m + β + ρ partal dff. qu.: lnar approach for th tmpratur L ( ) ( ) η φ t bo hat quaton q Q K M + + & r R-t*(-η)/, t R-r 0 ( ) η φ βφ + η η φ η φ η + β φ + η φ η φ φ ρ n j n j j n bla m bc n j j d r a d r k d K ; d r Q a Q for q A q ; d r c a M n, t L d, LR A, Lt a ϕ ϕ ϕ sphrcal coordnats: ( ) [ ] ( ) n, t cos d, R cos A, t cos a θ ϕ θ ϕ θ ϕ cylndrcal coordnats: R r Mankn Fnt Elmnt Approach

9 Cut hrough a Body Elmnt had/bran (half sphr) ϕ skn fat bon 37 had/bran mpraturn tmpraturs m Kopf (b (at 5 C Aussntmpratur) nvronmnt) sc hypothalamus fac (cylndr) nck (cylndr) [ C ] 5mn 33 5mn 3 35mn 90mn 9 bon bran fat skn r [m] Author: Dr. Stfan Paulk (chncal Managr) VMS,

10 Blood Flow (.g. lg) typcal tmpraturs artral tmpratur bla Q x h x ( bla blv ) Q x... hat transfr btwn. adjacnt vssls vnous tmpratur blv hart blp blood pool tmp. blp fat skn bla blv muscl Knochn artral blood vnous blood ρc t k r + Q m + β ( ) bla Author: Dr. Stfan Paulk (chncal Managr) VMS,

11 Human Boundary Condtons (.g. lg n warm nv.) nvronmntal paramtrs: ar tmpratur ar humdty rlatv ar spd cloth outr skn (no blood flow) nnr skn (blood flow) radaton wall tmp. vwfactors, mssvty contact pars convctv hat fat muscl radatv hat bon contact hat hat conducton to cor stam vaporatv hat hat transport va vns Author: Dr. Stfan Paulk (chncal Managr) VMS,

12 Global Human Hat Fluxs transnt cabn smulaton: 00. sun hatng th car. mankn ntrng th cabn 3. vntlatons coolng th cabn [ C ] _cabn [ C] _outlt [ C] _dashboard [ C] t [mn] vaporaton contact convcton ntal stat aftr mnut. aftr 30 mnuts 3. radaton [W] Author: Dr. Stfan Paulk (chncal Managr) VMS,

13 Human mpratur Valdaton.g. coolng at 5 C nvronmnt chst tmp. [ C] thorax antrur forhad tmp. [ C] tm [mn] Fala [] HESEUS-FE xprmnt tm [mn] rctal tmp. [ C] tm [mn] arm tmp. [ C] tm [mn] lg tmp. [ C] tm [mn] mtabolsm [W] shvrng! tm [mn] man skn tmp. [ C] tm [mn] Author: Dr. Stfan Paulk (chncal Managr) VMS,

14 Global hrmal Comfort Prdcton (Fala, 998) hypothalamus tmpratur (bran cor) hy man skn tmpratur A sk,m ask,b b sc A sc b sk,sc sk,m DS F sk,m,, hy t sk,m sk, m 34.4 C hot 3 skn tmpraturs at ntal stat of smulaton: sk,m, C...at fnal stat of smulaton: warm 0 - t [mn] locally hatd by sun cool cold - -3 DS PMV D_sk_m thrmal nutralty hatd by contact coold by vntlatons Author: Dr. Stfan Paulk (chncal Managr) VMS,

15 Local hrmal Comfort Prdcton (Zhang, 004) Zhang s thrmal snsaton ndx: vry cold cold cool nutral warm hot vry hot Zhang s comfort ndx: vry uncomfortabl nutral vry comfortabl room hatd cold ar global tmp. local tmp. t Author: Dr. Stfan Paulk (chncal Managr) VMS,

16 Local hrmal Comfort Optmzaton Zhang s thrmal snsaton ndx: vry cold cold cool nutral warm hot vry hot Zhang s comfort ndx: vry uncomfortabl nutral vry comfortabl local thrm. snsaton modl for mankn's back 4 _sk_stp 35. C 3 _sk - _sk_stp local S _skm 6 C _skm 30 C _skm 34.4 C _skm 35 C local comfort modl for mankn's back 4 3 local S c glob. S0 (nutral) glob. S+3 (hot) local comfort glob. S-3 (cold) local comfort +4 skm 34.4 C > local S.6 > sk sk_stp C > sk C Author: Dr. Stfan Paulk (chncal Managr) VMS,

SOME CONSIDERATIONS ON GLOBAL AND LOCAL THERMAL COMFORT BASED ON FIALA S THERMAL MANIKIN IN THESEUS-FE

SOME CONSIDERATIONS ON GLOBAL AND LOCAL THERMAL COMFORT BASED ON FIALA S THERMAL MANIKIN IN THESEUS-FE SOME CONSIDERAIONS ON GLOBAL AND LOCAL HERMAL COMFOR BASED ON FIALA S HERMAL MANIKIN IN HESEUS-FE Stfan Paulk, Stfan Wagnr P+Z Enginring GmbH, Anton-Ditt-Bogn 3, 80939 Münchn, Grmany s.paulk@puz.d (Stfan

More information

1- Summary of Kinetic Theory of Gases

1- Summary of Kinetic Theory of Gases Dr. Kasra Etmad Octobr 5, 011 1- Summary of Kntc Thory of Gass - Radaton 3- E4 4- Plasma Proprts f(v f ( v m 4 ( kt 3/ v xp( mv kt V v v m v 1 rms V kt v m ( m 1/ v 8kT m 3kT v rms ( m 1/ E3: Prcntag of

More information

Elements of Statistical Thermodynamics

Elements of Statistical Thermodynamics 24 Elmnts of Statistical Thrmodynamics Statistical thrmodynamics is a branch of knowldg that has its own postulats and tchniqus. W do not attmpt to giv hr vn an introduction to th fild. In this chaptr,

More information

Heating of a solid cylinder immersed in an insulated bath. Thermal diffusivity and heat capacity experimental evaluation.

Heating of a solid cylinder immersed in an insulated bath. Thermal diffusivity and heat capacity experimental evaluation. Hatng of a sold cylndr mmrsd n an nsulatd bath. Thrmal dffusvty and hat capacty xprmntal valuaton. Žtný R., CTU FE Dpartmnt of Procss Engnrng, arch. Introducton Th problm as ntatd by th follong E-mal from

More information

Lecture 23 APPLICATIONS OF FINITE ELEMENT METHOD TO SCALAR TRANSPORT PROBLEMS

Lecture 23 APPLICATIONS OF FINITE ELEMENT METHOD TO SCALAR TRANSPORT PROBLEMS COMPUTTION FUID DYNMICS: FVM: pplcatons to Scalar Transport Prolms ctur 3 PPICTIONS OF FINITE EEMENT METHOD TO SCR TRNSPORT PROBEMS 3. PPICTION OF FEM TO -D DIFFUSION PROBEM Consdr th stady stat dffuson

More information

NUMERICAL MODELING OF HEAT TRANSFER IN BIOLOGICAL TISSUE DOMAIN USING THE FUZZY FINITE DIFFERENCE METHOD

NUMERICAL MODELING OF HEAT TRANSFER IN BIOLOGICAL TISSUE DOMAIN USING THE FUZZY FINITE DIFFERENCE METHOD 6th Europan Confrnc on Computatonal Mchancs (ECCM 6) 7th Europan Confrnc on Computatonal Flud Dynamcs (ECFD 7) 5 Jun 08, Glasgow, UK NUMERICL MODELING OF HET TRNSFER IN BIOLOGICL TISSUE DOMIN USING THE

More information

8-node quadrilateral element. Numerical integration

8-node quadrilateral element. Numerical integration Fnt Elmnt Mthod lctur nots _nod quadrlatral lmnt Pag of 0 -nod quadrlatral lmnt. Numrcal ntgraton h tchnqu usd for th formulaton of th lnar trangl can b formall tndd to construct quadrlatral lmnts as wll

More information

Grand Canonical Ensemble

Grand Canonical Ensemble Th nsmbl of systms mmrsd n a partcl-hat rsrvor at constant tmpratur T, prssur P, and chmcal potntal. Consdr an nsmbl of M dntcal systms (M =,, 3,...M).. Thy ar mutually sharng th total numbr of partcls

More information

Static/Dynamic Deformation with Finite Element Method. Graphics & Media Lab Seoul National University

Static/Dynamic Deformation with Finite Element Method. Graphics & Media Lab Seoul National University Statc/Dynamc Dormaton wth Fnt Elmnt Mthod Graphcs & Mda Lab Sol Natonal Unvrsty Statc/Dynamc Dormaton Statc dormaton Dynamc dormaton ndormd shap ntrnal + = nrta = trnal dormd shap statc qlbrm dynamc qlbrm

More information

Give the letter that represents an atom (6) (b) Atoms of A and D combine to form a compound containing covalent bonds.

Give the letter that represents an atom (6) (b) Atoms of A and D combine to form a compound containing covalent bonds. 1 Th diagram shows th lctronic configurations of six diffrnt atoms. A B C D E F (a) You may us th Priodic Tabl on pag 2 to hlp you answr this qustion. Answr ach part by writing on of th lttrs A, B, C,

More information

Radial Cataphoresis in Hg-Ar Fluorescent Lamp Discharges at High Power Density

Radial Cataphoresis in Hg-Ar Fluorescent Lamp Discharges at High Power Density [NWP.19] Radal Cataphorss n Hg-Ar Fluorscnt Lamp schargs at Hgh Powr nsty Y. Aura, G. A. Bonvallt, J. E. Lawlr Unv. of Wsconsn-Madson, Physcs pt. ABSTRACT Radal cataphorss s a procss n whch th lowr onzaton

More information

AS 5850 Finite Element Analysis

AS 5850 Finite Element Analysis AS 5850 Finit Elmnt Analysis Two-Dimnsional Linar Elasticity Instructor Prof. IIT Madras Equations of Plan Elasticity - 1 displacmnt fild strain- displacmnt rlations (infinitsimal strain) in matrix form

More information

Relate p and T at equilibrium between two phases. An open system where a new phase may form or a new component can be added

Relate p and T at equilibrium between two phases. An open system where a new phase may form or a new component can be added 4.3, 4.4 Phas Equlbrum Dtrmn th slops of th f lns Rlat p and at qulbrum btwn two phass ts consdr th Gbbs functon dg η + V Appls to a homognous systm An opn systm whr a nw phas may form or a nw componnt

More information

Thermal transport analysis of the edge region in the low and high confinement stages of a DIII-D discharge

Thermal transport analysis of the edge region in the low and high confinement stages of a DIII-D discharge Thrmal transport analyss of th dg rgon n th low and hgh confnmnt stags of a DIII-D dscharg W. M. Stacy, Gorga Tch, Atlanta, GA 3033 and R. J. Grobnr, Gnral Atomcs, San Dgo, CA 9186 August, 006 Rvsd Octobr,

More information

Some Useful Formulae

Some Useful Formulae ME - hrmodynamcs I Som Usful Formula Control Mass Contnuty Equaton m constant Frst Law Comprsson-xpanson wor U U m V V mg Z Z Q W For polytropc procs, PV n c, Scond Law W W PdV P V P V n n P V ln V V n

More information

Finite element discretization of Laplace and Poisson equations

Finite element discretization of Laplace and Poisson equations Finit lmnt discrtization of Laplac and Poisson quations Yashwanth Tummala Tutor: Prof S.Mittal 1 Outlin Finit Elmnt Mthod for 1D Introduction to Poisson s and Laplac s Equations Finit Elmnt Mthod for 2D-Discrtization

More information

IV. First Law of Thermodynamics. Cooler. IV. First Law of Thermodynamics

IV. First Law of Thermodynamics. Cooler. IV. First Law of Thermodynamics D. Applcatons to stady flow dvcs. Hat xchangrs - xampl: Clkr coolr for cmnt kln Scondary ar 50 C, 57,000 lbm/h Clkr? C, 5 ton/h Coolr Clkr 400 C, 5 ton/h Scondary ar 0 C, 57,000 lbm/h a. Assumptons. changs

More information

Polytropic Process. A polytropic process is a quasiequilibrium process described by

Polytropic Process. A polytropic process is a quasiequilibrium process described by Polytropc Procss A polytropc procss s a quasqulbrum procss dscrbd by pv n = constant (Eq. 3.5 Th xponnt, n, may tak on any valu from to dpndng on th partcular procss. For any gas (or lqud, whn n = 0, th

More information

Modeling Human Thermoregulation and Comfort. CES Seminar

Modeling Human Thermoregulation and Comfort. CES Seminar Modeling Human Thermoregulation and Comfort CES Seminar Contents 1 Introduction... 1 2 Modeling thermal human manikin... 2 2.1 Thermal neutrality... 2 2.2 Human heat balance equation... 2 2.3 Bioheat equation...

More information

Optimal Topology Design for Replaceable of Reticulated Shell Based on Sensitivity Analysis

Optimal Topology Design for Replaceable of Reticulated Shell Based on Sensitivity Analysis Optmal Topology Dsgn for Rplacabl of Rtculatd Shll Basd on Snstvty Analyss Yang Yang Dpartmnt of Naval Archtctur, Dalan Unvrsty of Tchnology, Laonng, CN Ma Hu Collg of Rsourc and Cvl Engnrng, Northastrn

More information

Definition of Ablation testcase

Definition of Ablation testcase Dfinition of Ablation tstcas sris #3 5 t Ablation Worksop Lxington, KY Tom van Ekln LMS-Samtc, Blgium Jan Lacaud UARC/Univ. of California Santa Cruz, USA Alxandr Martin Univrsity of Kntucky, USA Ioana

More information

Thermal behavior and Energetic Dispersals of the Human Body under Various Indoor Air Temperatures at 50% Relative Humidity

Thermal behavior and Energetic Dispersals of the Human Body under Various Indoor Air Temperatures at 50% Relative Humidity Thermal behavior and Energetic Dispersals of the Human Body under Various Indoor Air Temperatures at 50% Relative Humidity Hakan CALISKAN Usak University, Department of Mechanical Engineering, Usak, Turkey

More information

Introduction to Condensed Matter Physics

Introduction to Condensed Matter Physics Introduction to Condnsd Mattr Physics pcific hat M.P. Vaughan Ovrviw Ovrviw of spcific hat Hat capacity Dulong-Ptit Law Einstin modl Dby modl h Hat Capacity Hat capacity h hat capacity of a systm hld at

More information

ANALYSIS: The mass rate balance for the one-inlet, one-exit control volume at steady state is

ANALYSIS: The mass rate balance for the one-inlet, one-exit control volume at steady state is Problm 4.47 Fgur P4.47 provds stady stat opratng data for a pump drawng watr from a rsrvor and dlvrng t at a prssur of 3 bar to a storag tank prchd 5 m abov th rsrvor. Th powr nput to th pump s 0.5 kw.

More information

Heisenberg Model. Sayed Mohammad Mahdi Sadrnezhaad. Supervisor: Prof. Abdollah Langari

Heisenberg Model. Sayed Mohammad Mahdi Sadrnezhaad. Supervisor: Prof. Abdollah Langari snbrg Modl Sad Mohammad Mahd Sadrnhaad Survsor: Prof. bdollah Langar bstract: n ths rsarch w tr to calculat analtcall gnvalus and gnvctors of fnt chan wth ½-sn artcls snbrg modl. W drov gnfuctons for closd

More information

Numerical Simulation of the Air Flow and Thermal Comfort in Aircraft Cabins

Numerical Simulation of the Air Flow and Thermal Comfort in Aircraft Cabins Numerical Simulation of the Air Flow and Thermal Comfort in Aircraft Cabins Mikhail Konstantinov, Waldemar Lautenschlager, Andrei Shishkin, Claus Wagner German Aerospace Center, Institute of Aerodynamics

More information

??? Dynamic Causal Modelling for M/EEG. Electroencephalography (EEG) Dynamic Causal Modelling. M/EEG analysis at sensor level. time.

??? Dynamic Causal Modelling for M/EEG. Electroencephalography (EEG) Dynamic Causal Modelling. M/EEG analysis at sensor level. time. Elctroncphalography EEG Dynamc Causal Modllng for M/EEG ampltud μv tm ms tral typ 1 tm channls channls tral typ 2 C. Phllps, Cntr d Rchrchs du Cyclotron, ULg, Blgum Basd on slds from: S. Kbl M/EEG analyss

More information

are given in the table below. t (hours)

are given in the table below. t (hours) CALCULUS WORKSHEET ON INTEGRATION WITH DATA Work th following on notbook papr. Giv dcimal answrs corrct to thr dcimal placs.. A tank contains gallons of oil at tim t = hours. Oil is bing pumpd into th

More information

A Novel Finite Volume Scheme with Geometric Average Method for Radiative Heat Transfer Problems *

A Novel Finite Volume Scheme with Geometric Average Method for Radiative Heat Transfer Problems * Appld Physcs Frontr Novmbr 013 Volum 1 Issu 4 PP.3-44 A Novl Fnt Volum Schm wth Gomtrc Avrag Mthod for Radatv Hat Transfr Problms * Cunyun N 1 Hayuan Yu 1. Dpartmnt of Mathmatcs and Physcs Hunan Insttuton

More information

Formulation of the extended Finite Element and the matched asymptotic development methods applied to the transient heat transfer in brazed assembly

Formulation of the extended Finite Element and the matched asymptotic development methods applied to the transient heat transfer in brazed assembly 6th IASME/WSEAS Intrnatonal Confrnc on HEA RASFER, HERMAL EGIEERIG and EVIROME (HE'8) Rhods, Grc, August -, 8 Formulaton of th Xtndd Fnt Elmnt and th matchd asymptotc dvlopmnt mthods appld to th transnt

More information

Lecture 14. Relic neutrinos Temperature at neutrino decoupling and today Effective degeneracy factor Neutrino mass limits Saha equation

Lecture 14. Relic neutrinos Temperature at neutrino decoupling and today Effective degeneracy factor Neutrino mass limits Saha equation Lctur Rlc nutrnos mpratur at nutrno dcoupln and today Effctv dnracy factor Nutrno mass lmts Saha quaton Physcal Cosmoloy Lnt 005 Rlc Nutrnos Nutrnos ar wakly ntractn partcls (lptons),,,,,,, typcal ractons

More information

FEM FOR HEAT TRANSFER PROBLEMS دانشگاه صنعتي اصفهان- دانشكده مكانيك

FEM FOR HEAT TRANSFER PROBLEMS دانشگاه صنعتي اصفهان- دانشكده مكانيك FEM FOR HE RNSFER PROBLEMS 1 Fild problms Gnral orm o systm quations o D linar stady stat ild problms: For 1D problms: D D g Q y y (Hlmholtz quation) d D g Q d Fild problms Hat transr in D in h h ( D D

More information

Electrochemical Equilibrium Electromotive Force. Relation between chemical and electric driving forces

Electrochemical Equilibrium Electromotive Force. Relation between chemical and electric driving forces C465/865, 26-3, Lctur 7, 2 th Sp., 26 lctrochmcal qulbrum lctromotv Forc Rlaton btwn chmcal and lctrc drvng forcs lctrochmcal systm at constant T and p: consdr G Consdr lctrochmcal racton (nvolvng transfr

More information

Where k is either given or determined from the data and c is an arbitrary constant.

Where k is either given or determined from the data and c is an arbitrary constant. Exponntial growth and dcay applications W wish to solv an quation that has a drivativ. dy ky k > dx This quation says that th rat of chang of th function is proportional to th function. Th solution is

More information

51687 Reims, Cedex 2, France. ABSTRACT

51687 Reims, Cedex 2, France.   ABSTRACT Effct of Tmpratur-dpndnt Sorpton Charactrstcs on th Hygrothrmal Bhavor of a Hmp Concrt Buldng Envlop Submttd to Ral Outdoor Condtons Anh Dung Tran L 1, Drss Samr², Mourad Rahm 1, Omar Douzan 1, Goffry

More information

From Structural Analysis to FEM. Dhiman Basu

From Structural Analysis to FEM. Dhiman Basu From Structural Analyss to FEM Dhman Basu Acknowldgmnt Followng txt books wr consultd whl prparng ths lctur nots: Znkwcz, OC O.C. andtaylor Taylor, R.L. (000). Th FntElmnt Mthod, Vol. : Th Bass, Ffth dton,

More information

OTHER TPOICS OF INTEREST (Convection BC, Axisymmetric problems, 3D FEM)

OTHER TPOICS OF INTEREST (Convection BC, Axisymmetric problems, 3D FEM) OTHER TPOICS OF INTEREST (Convction BC, Axisymmtric problms, 3D FEM) CONTENTS 2-D Problms with convction BC Typs of Axisymmtric Problms Axisymmtric Problms (2-D) 3-D Hat Transfr 3-D Elasticity Typical

More information

5- Scattering Stationary States

5- Scattering Stationary States Lctu 19 Pyscs Dpatmnt Yamou Unvsty 1163 Ibd Jodan Pys. 441: Nucla Pyscs 1 Pobablty Cunts D. Ndal Esadat ttp://ctaps.yu.du.jo/pyscs/couss/pys641/lc5-3 5- Scattng Statonay Stats Rfnc: Paagaps B and C Quantum

More information

COMPUTATIONAL NUCLEAR THERMAL HYDRAULICS

COMPUTATIONAL NUCLEAR THERMAL HYDRAULICS COMPUTTIONL NUCLER THERML HYDRULICS Cho, Hyoung Kyu Dpartmnt of Nuclar Enginring Soul National Univrsity CHPTER4. THE FINITE VOLUME METHOD FOR DIFFUSION PROBLEMS 2 Tabl of Contnts Chaptr 1 Chaptr 2 Chaptr

More information

Finite Element Model of a Ferroelectric

Finite Element Model of a Ferroelectric Excrpt from th Procdings of th COMSOL Confrnc 200 Paris Finit Elmnt Modl of a Frrolctric A. Lópz, A. D Andrés and P. Ramos * GRIFO. Dpartamnto d Elctrónica, Univrsidad d Alcalá. Alcalá d Hnars. Madrid,

More information

APPLICATION OF GALERKIN FINITE ELEMENT METHOD IN THE SOLUTION OF 3D DIFFUSION IN SOLIDS

APPLICATION OF GALERKIN FINITE ELEMENT METHOD IN THE SOLUTION OF 3D DIFFUSION IN SOLIDS Cênca/Scnc APPLICATION OF GALERKIN FINITE ELEMENT METHOD IN THE SOLUTION OF D DIFFUSION IN SOLIDS E C Romão a, M D d Campos c, J A Martns b, and L F M d Moura a Unvrsdad Estadual d Campnas Faculdad d Engnhara

More information

Chapter 8: Electron Configurations and Periodicity

Chapter 8: Electron Configurations and Periodicity Elctron Spin & th Pauli Exclusion Principl Chaptr 8: Elctron Configurations and Priodicity 3 quantum numbrs (n, l, ml) dfin th nrgy, siz, shap, and spatial orintation of ach atomic orbital. To xplain how

More information

EDGE PEDESTAL STRUCTURE AND TRANSPORT INTERPRETATION (In the absence of or in between ELMs)

EDGE PEDESTAL STRUCTURE AND TRANSPORT INTERPRETATION (In the absence of or in between ELMs) I. EDGE PEDESTAL STRUCTURE AND TRANSPORT INTERPRETATION (In th absnc of or n btwn ELMs) Abstract W. M. Stacy (Gorga Tch) and R. J. Grobnr (Gnral Atomcs) A constrant on th on prssur gradnt s mposd by momntum

More information

CHAPTER 4. The First Law of Thermodynamics for Control Volumes

CHAPTER 4. The First Law of Thermodynamics for Control Volumes CHAPTER 4 T Frst Law of Trodynacs for Control olus CONSERATION OF MASS Consrvaton of ass: Mass, lk nrgy, s a consrvd proprty, and t cannot b cratd or dstroyd durng a procss. Closd systs: T ass of t syst

More information

Direct Approach for Discrete Systems One-Dimensional Elements

Direct Approach for Discrete Systems One-Dimensional Elements CONTINUUM & FINITE ELEMENT METHOD Dirct Approach or Discrt Systms On-Dimnsional Elmnts Pro. Song Jin Par Mchanical Enginring, POSTECH Dirct Approach or Discrt Systms Dirct approach has th ollowing aturs:

More information

MINLP Model for the Synthesis of Heat Exchanger Networks with Handling Pressure of Process Streams

MINLP Model for the Synthesis of Heat Exchanger Networks with Handling Pressure of Process Streams Jiří Jaromír Klmš, Ptar Sabv Varbanov and Png Yn Liw (Editors) Procdings of th 24 th Europan Symposium on Computr Aidd Procss Enginring ESCAPE 24 Jun 15-18, 2014, Budapst, Hungary. 2014 Elsvir B.V. All

More information

Chapter 2: The Photosphere

Chapter 2: The Photosphere 3 Chaptr : Th Photosphr Outr Atmosphr Cor - Enrgy Gnraton Zon.3R.7R Radaton Zon Convcton Zon Photosphr 3 km Fg -: Th Sun - Ovrall Structur.: Th Larg Scal Structur of th Photosphr Th photosphr, th vsbl

More information

IYPT 2000 Problem No. 3 PLASMA

IYPT 2000 Problem No. 3 PLASMA IYPT 000 Problm No. 3 PLASMA Tam Austria Invstigat th lctrical conducivity of th flam of a candl. Examin th influnc of rlvant paramtrs, in particular, th shap and polarity of th lctrods. Th xprimnts should

More information

Fakultät III Univ.-Prof. Dr. Jan Franke-Viebach

Fakultät III Univ.-Prof. Dr. Jan Franke-Viebach Unv.Prof. r. J. FrankVbach WS 067: Intrnatonal Economcs ( st xam prod) Unvrstät Sgn Fakultät III Unv.Prof. r. Jan FrankVbach Exam Intrnatonal Economcs Wntr Smstr 067 ( st Exam Prod) Avalabl tm: 60 mnuts

More information

Study of Dynamic Aperture for PETRA III Ring K. Balewski, W. Brefeld, W. Decking, Y. Li DESY

Study of Dynamic Aperture for PETRA III Ring K. Balewski, W. Brefeld, W. Decking, Y. Li DESY Stud of Dnamc Aprtur for PETRA III Rng K. Balws, W. Brfld, W. Dcng, Y. L DESY FLS6 Hamburg PETRA III Yong-Jun L t al. Ovrvw Introducton Dnamcs of dampng wgglrs hoc of machn tuns, and optmzaton of stupol

More information

WASTE HEAT RECOVERY USING DIRECT THERMODYNAMIC CYCLE

WASTE HEAT RECOVERY USING DIRECT THERMODYNAMIC CYCLE Bulltin of th Transilvania Univrsity of Braşov Vol. 8 (57) No. 2-2015 Sris I: Enginring Scincs WASTE HEAT RECOVERY USING DIRECT THERMODYNAMIC CYCLE I. COSTIUC 1 L. COSTIUC 2 S. RADU 3 Abstract: For wast

More information

fiziks Institute for NET/JRF, GATE, IIT JAM, M.Sc. Entrance, JEST, TIFR and GRE in Physics Thermodynamics & Statistical Mechanics JEST-2012

fiziks Institute for NET/JRF, GATE, IIT JAM, M.Sc. Entrance, JEST, TIFR and GRE in Physics Thermodynamics & Statistical Mechanics JEST-2012 Q. monatomc dal gas at hrmodynamcs & Statstcal Mchancs JS- volum. h tmpratur aftr comprsson s ns. : (d) Soluton:. C (b) P costant, P R 7 C s adabatcally comprssd to /8 of ts orgnal 7 C (c).5 C (d) costant

More information

Spatial channeling of energy and momentum of energetic ions by destabilized Alfvén eigenmodes

Spatial channeling of energy and momentum of energetic ions by destabilized Alfvén eigenmodes Spatial channling of nrgy and momntum of nrgtic ions by dstabilizd Alfvén ignmods Ya.I. Kolsnichnko 1,V.V. Lutsnko 1, R.B. Whit, Yu.V. Yakovnko 1 1 Institut for Nuclar Rsarch, Kyiv, Ukrain Princton Plasma

More information

Chap IV Exergy Analysis( 火用 )

Chap IV Exergy Analysis( 火用 ) Chap IV Exrgy Analyss( 火用 ) Updat on 4// Exrgy analyss s usd to fnd out th nrgy utlzaton ffcncy of an nrgy convrson systm. It s known that any nrgy convrson systm should oby th scond law of thrmodynamcs.

More information

Why switching? Modulation. Switching amp. Losses. Converter topology. i d. Continuous amplifiers have low efficiency. Antag : u i

Why switching? Modulation. Switching amp. Losses. Converter topology. i d. Continuous amplifiers have low efficiency. Antag : u i Modlaton Indtral Elctrcal Engnrng and Atomaton Lnd nvrty, Swdn Why wtchng? Contno amplfr hav low ffcncy a b Contno wtch pt ( t ) = pn( t) = ( a b) Antag : ( a b) = Pn = Pt η = = = Pn Swtchng amp. Lo Convrtr

More information

User manual. Design program in Excel for Flooré panel products. Manual version 1.0 for Excel program version 3.2 released in May 2014

User manual. Design program in Excel for Flooré panel products. Manual version 1.0 for Excel program version 3.2 released in May 2014 Ur manual Dgn program n Excl for Flooré panl product Manual vron 1.0 for Excl program vron 3.2 rlad n May 2014 2 qurmnt T dgn program rqur a crtan amount of nput data o tat corrct output data can b calculatd.

More information

genius PHYSICS Energy Bands. Types of Solids.

genius PHYSICS Energy Bands. Types of Solids. gnus HYSIS Solds and Sm-conductor 1 nrgy ands. In solatd atom th valnc lctrons can xst only n on of th allowd orbtals ach of a sharply dfnd nrgy calld nrgy lvls. ut whn two atoms ar brought narr to ach

More information

EAcos θ, where θ is the angle between the electric field and

EAcos θ, where θ is the angle between the electric field and 8.4. Modl: Th lctric flux flows out of a closd surfac around a rgion of spac containing a nt positiv charg and into a closd surfac surrounding a nt ngativ charg. Visualiz: Plas rfr to Figur EX8.4. Lt A

More information

Discrete Shells Simulation

Discrete Shells Simulation Dscrt Shlls Smulaton Xaofng M hs proct s an mplmntaton of Grnspun s dscrt shlls, th modl of whch s govrnd by nonlnar mmbran and flxural nrgs. hs nrgs masur dffrncs btwns th undformd confguraton and th

More information

Experimental and Numerical Investigations in Shallow Cut Grinding by Workpiece Integrated Infrared Thermopile Array

Experimental and Numerical Investigations in Shallow Cut Grinding by Workpiece Integrated Infrared Thermopile Array snsors Artcl Exprmntal and Numrcal Invstgatons n Shallow Cut Grndng by Workpc Intgratd Infrard Thrmopl Array Marcl Rmrs, Waltr Lang and Grrt Dumstorff *, Insttut for Mcrosnsors, -Actuators and -Systms

More information

Finite Element Models for Steady Flows of Viscous Incompressible Fluids

Finite Element Models for Steady Flows of Viscous Incompressible Fluids Finit Elmnt Modls for Stad Flows of Viscous Incomprssibl Fluids Rad: Chaptr 10 JN Rdd CONTENTS Govrning Equations of Flows of Incomprssibl Fluids Mid (Vlocit-Prssur) Finit Elmnt Modl Pnalt Function Mthod

More information

Module 8 Non equilibrium Thermodynamics

Module 8 Non equilibrium Thermodynamics Modul 8 Non quilibrium hrmodynamics ctur 8.1 Basic Postulats NON-EQUIIRIBIUM HERMODYNAMICS Stady Stat procsss. (Stationary) Concpt of ocal thrmodynamic qlbm Extnsiv proprty Hat conducting bar dfin proprtis

More information

Variational Approach in FEM Part II

Variational Approach in FEM Part II COIUUM & FIIE ELEME MEHOD aratonal Approach n FEM Part II Prof. Song Jn Par Mchancal Engnrng, POSECH Fnt Elmnt Mthod vs. Ralgh-Rtz Mthod On wants to obtan an appromat solton to mnmz a fnctonal. On of th

More information

Entropy Equation for a Control Volume

Entropy Equation for a Control Volume Fudamtals of Thrmodyamcs Chaptr 7 Etropy Equato for a Cotrol Volum Prof. Syoug Jog Thrmodyamcs I MEE2022-02 Thrmal Egrg Lab. 2 Q ds Srr T Q S2 S1 1 Q S S2 S1 Srr T t t T t S S s m 1 2 t S S s m tt S S

More information

Acid Base Reactions. Acid Base Reactions. Acid Base Reactions. Chemical Reactions and Equations. Chemical Reactions and Equations

Acid Base Reactions. Acid Base Reactions. Acid Base Reactions. Chemical Reactions and Equations. Chemical Reactions and Equations Chmial Ratins and Equatins Hwitt/Lyns/Suhki/Yh Cnptual Intgratd Sin During a hmial ratin, n r mr nw mpunds ar frmd as a rsult f th rarrangmnt f atms. Chaptr 13 CHEMICAL REACTIONS Ratants Prduts Chmial

More information

MECH321 Dynamics of Engineering System Week 4 (Chapter 6)

MECH321 Dynamics of Engineering System Week 4 (Chapter 6) MH3 Dynamc of ngnrng Sytm Wk 4 (haptr 6). Bac lctrc crcut thor. Mathmatcal Modlng of Pav rcut 3. ompl mpdanc Approach 4. Mchancal lctrcal analogy 5. Modllng of Actv rcut: Opratonal Amplfr rcut Bac lctrc

More information

Chapter 2 Theoretical Framework of the Electrochemical Model

Chapter 2 Theoretical Framework of the Electrochemical Model Chaptr 2 Thortcal Framwork of th Elctrochmcal Modl Th basc prncpls of th lctrochmcal modl for L on battry s dvlopd from fundamntals of thrmodynamcs and transport phnomna. Th voluton of th lctrochmcal modl

More information

Analyzing Frequencies

Analyzing Frequencies Frquncy (# ndvduals) Frquncy (# ndvduals) /3/16 H o : No dffrnc n obsrvd sz frquncs and that prdctd by growth modl How would you analyz ths data? 15 Obsrvd Numbr 15 Expctd Numbr from growth modl 1 1 5

More information

Byeong-Joo Lee

Byeong-Joo Lee OSECH - MSE calphad@postch.ac.kr Equipartition horm h avrag nrgy o a particl pr indpndnt componnt o motion is ε ε ' ε '' ε ''' U ln Z Z ε < ε > U ln Z β ( ε ' ε '' ε ''' / Z' Z translational kintic nrgy

More information

NUMERICAL SIMULATION OF THERMAL WARPING AND BUCKLING IN ENAMELLED STEEL PARTS

NUMERICAL SIMULATION OF THERMAL WARPING AND BUCKLING IN ENAMELLED STEEL PARTS NUMERICAL SIMULATION OF THERMAL WARPING AND BUCKLING IN ENAMELLED STEEL PARTS 337 XXI Intrnational Enamllrs Congrss Numrical Simulation of Thrmal Warping and Buckling in Enamlld Stl Parts Filip Van dn

More information

Journal of Chemical and Pharmaceutical Research, 2014, 6(7): Research Article

Journal of Chemical and Pharmaceutical Research, 2014, 6(7): Research Article Avalabl onln www.ocpr.com Journal of Chmcal and Pharmacutcal Rsarch, 214, 6(7):1394-14 Rsarch Artcl ISSN : 975-7384 COEN(USA) : JCPRC5 Rsarch on fatgu damag of suckr rod basd on damag mchancs Ru-fn Zhou,

More information

NUMERICAL MODELING OF CASED-HOLE INSTABILITY IN HIGH PRESSURE AND HIGH TEMPERATURE WELLS. A Dissertation ZHENG SHEN

NUMERICAL MODELING OF CASED-HOLE INSTABILITY IN HIGH PRESSURE AND HIGH TEMPERATURE WELLS. A Dissertation ZHENG SHEN NUMERICAL MODELING OF CASED-HOLE INSTABILITY IN HIGH PRESSURE AND HIGH TEMPERATURE WELLS A Dssrtaton by ZHENG SHEN Submttd to th Offc of Graduat Studs of Txas A&M Unvrsty n partal fulfllmnt of th rqurmnts

More information

Performance assessment of the window-wall interface. PhD-meeting Nathan Van Den Bossche - 04/06/2010 Department of Architecture Ghent University

Performance assessment of the window-wall interface. PhD-meeting Nathan Van Den Bossche - 04/06/2010 Department of Architecture Ghent University Prformanc assssmnt of th wndow-wall ntrfac Start: 04/2007 Stop: 01/2012 Nathan Van Dn Bossch Suprvsor: Arnold Janssns Hstory of Enrgy cods n Flandrs: 1992: Vntlaton and nsulaton dcr nsulaton lvl K65 1993:

More information

Jones vector & matrices

Jones vector & matrices Jons vctor & matrcs PY3 Colást na hollscol Corcagh, Ér Unvrst Collg Cork, Irland Dpartmnt of Phscs Matr tratmnt of polarzaton Consdr a lght ra wth an nstantanous -vctor as shown k, t ˆ k, t ˆ k t, o o

More information

Chemical Physics II. More Stat. Thermo Kinetics Protein Folding...

Chemical Physics II. More Stat. Thermo Kinetics Protein Folding... Chmical Physics II Mor Stat. Thrmo Kintics Protin Folding... http://www.nmc.ctc.com/imags/projct/proj15thumb.jpg http://nuclarwaponarchiv.org/usa/tsts/ukgrabl2.jpg http://www.photolib.noaa.gov/corps/imags/big/corp1417.jpg

More information

On the Hamiltonian of a Multi-Electron Atom

On the Hamiltonian of a Multi-Electron Atom On th Hamiltonian of a Multi-Elctron Atom Austn Gronr Drxl Univrsity Philadlphia, PA Octobr 29, 2010 1 Introduction In this papr, w will xhibit th procss of achiving th Hamiltonian for an lctron gas. Making

More information

Deepak Rajput

Deepak Rajput Q Prov: (a than an infinit point lattic is only capabl of showing,, 4, or 6-fold typ rotational symmtry; (b th Wiss zon law, i.. if [uvw] is a zon axis and (hkl is a fac in th zon, thn hu + kv + lw ; (c

More information

ST 524 NCSU - Fall 2008 One way Analysis of variance Variances not homogeneous

ST 524 NCSU - Fall 2008 One way Analysis of variance Variances not homogeneous ST 54 NCSU - Fall 008 On way Analyss of varanc Varancs not homognous On way Analyss of varanc Exampl (Yandll, 997) A plant scntst masurd th concntraton of a partcular vrus n plant sap usng ELISA (nzym-lnkd

More information

Two-Temperature Plasma Modeling of Argon Gas Tungsten Arcs.

Two-Temperature Plasma Modeling of Argon Gas Tungsten Arcs. Ttl Autor(s) Two-Tmpratur Plasma Modlng of Argon Gas Tungstn Arcs Tasro, Snc; Tanaa, Manabu Ctaton Transactons of JWRI. 37(1) P.7-P.11 Issu Dat 2008-07 Txt Vrson publsr URL ttp://dl.andl.nt/11094/8887

More information

Pion condensation with neutrinos

Pion condensation with neutrinos Pion condnsation with nutrinos Or how dos QCD bhav undr high dnsitis of lctron/muon nutrinos Harmn Warringa, Goth Univrsität, Frankfurt Basd on work don with Hiroaki Abuki and Tomas Braunr arxiv:0901.2477

More information

Applied Statistics II - Categorical Data Analysis Data analysis using Genstat - Exercise 2 Logistic regression

Applied Statistics II - Categorical Data Analysis Data analysis using Genstat - Exercise 2 Logistic regression Applid Statistics II - Catgorical Data Analysis Data analysis using Gnstat - Exrcis 2 Logistic rgrssion Analysis 2. Logistic rgrssion for a 2 x k tabl. Th tabl blow shows th numbr of aphids aliv and dad

More information

Massachusetts Institute of Technology Department of Mechanical Engineering

Massachusetts Institute of Technology Department of Mechanical Engineering Massachustts Institut of Tchnolog Dpartmnt of Mchanical Enginring. Introduction to Robotics Mid-Trm Eamination Novmbr, 005 :0 pm 4:0 pm Clos-Book. Two shts of nots ar allowd. Show how ou arrivd at our

More information

Stretching and bending deformations due to normal and shear tractions of doubly curved shells using third-order shear and normal deformable theory

Stretching and bending deformations due to normal and shear tractions of doubly curved shells using third-order shear and normal deformable theory MECHANICS OF ADVANCED MATERIALS AND STRUCTURES 2016,VOL.0,NO.0,1 20 http://dx.do.org/10.1080/15376494.2016.1194505 ORIGINAL ARTICLE Strtchng and bndng dformatons du to normal and shar tractons of doubly

More information

Thermal and Structural Analysis of Roller Compacted Concrete (R.C.C) Dams by Finite Element Code

Thermal and Structural Analysis of Roller Compacted Concrete (R.C.C) Dams by Finite Element Code Australian Journal of Basic and Applid Scincs, 5(12): 2761-2767, 211 ISSN 1991-8178 hrmal and Structural Analysis of Rollr Compactd Concrt (R.C.C) Dams by Finit Elmnt Cod 1 Rahimi, A. and Noorzai, J. 1

More information

Phy213: General Physics III 4/10/2008 Chapter 22 Worksheet 1. d = 0.1 m

Phy213: General Physics III 4/10/2008 Chapter 22 Worksheet 1. d = 0.1 m hy3: Gnral hyscs III 4/0/008 haptr Worksht lctrc Flds: onsdr a fxd pont charg of 0 µ (q ) q = 0 µ d = 0 a What s th agntud and drcton of th lctrc fld at a pont, a dstanc of 0? q = = 8x0 ˆ o d ˆ 6 N ( )

More information

APP-IV Introduction to Astro-Particle Physics. Maarten de Jong

APP-IV Introduction to Astro-Particle Physics. Maarten de Jong APP-IV Introduction to Astro-Particl Physics Maartn d Jong 1 cosmology in a nut shll Hubbl s law cosmic microwav background radiation abundancs of light lmnts (H, H, ) Hubbl s law (199) 1000 vlocity [km/s]

More information

University of Illinois at Chicago Department of Physics. Thermodynamics & Statistical Mechanics Qualifying Examination

University of Illinois at Chicago Department of Physics. Thermodynamics & Statistical Mechanics Qualifying Examination Univrsity of Illinois at Chicago Dpartmnt of hysics hrmodynamics & tatistical Mchanics Qualifying Eamination January 9, 009 9.00 am 1:00 pm Full crdit can b achivd from compltly corrct answrs to 4 qustions.

More information

Fakultät III Wirtschaftswissenschaften Univ.-Prof. Dr. Jan Franke-Viebach

Fakultät III Wirtschaftswissenschaften Univ.-Prof. Dr. Jan Franke-Viebach Unvrstät Sgn Fakultät III Wrtschaftswssnschaftn Unv.-rof. Dr. Jan Frank-Vbach Exam Intrnatonal Fnancal Markts Summr Smstr 206 (2 nd Exam rod) Avalabl tm: 45 mnuts Soluton For your attnton:. las do not

More information

PREDICTION OF STRESS CONCENTRATION FACTORS IN UNLAPPED SQUARE HOLLOW "K" JOINTS BY THE FINITE ELEMENT METHOD

PREDICTION OF STRESS CONCENTRATION FACTORS IN UNLAPPED SQUARE HOLLOW K JOINTS BY THE FINITE ELEMENT METHOD Ngran Journal of chnology, Vol. 5, No., March 006 Jk 5 PREDICION OF SRESS CONCENRAION FACORS IN UNLAPPED SQUARE HOLLOW "K" JOINS BY HE FINIE ELEMEN MEHOD DR.P.N.JIKI Dpartmnt of Cvl Engnrng, Unvrsty of

More information

Workshop: Thermal Manikin FIALA-FE (decoupled modus)

Workshop: Thermal Manikin FIALA-FE (decoupled modus) Workshop: Thermal Manikin FIALA-FE (decoupled modus) Software Version: THESEUS-FE v.4.0 (bugfix in UserManfialaZhangSL.dll) summer clothed To start the model file sphere.tfe from the command line... theseus

More information

Contemporary, atomic, nuclear, and particle physics

Contemporary, atomic, nuclear, and particle physics Contmporary, atomic, nuclar, and particl physics 1 Blackbody radiation as a thrmal quilibrium condition (in vacuum this is th only hat loss) Exampl-1 black plan surfac at a constant high tmpratur T h is

More information

The Death of Stars - II.

The Death of Stars - II. Th Dath of Stars - II. Larning Objctivs! How can w us H-R diagrams to masur th ag of star clustrs (and hnc th ag of our Univrs)?! Why do high and low mass stars volv diffrntly? How ar havy lmnts such as

More information

Dynamic Modelling of Hoisting Steel Wire Rope. Da-zhi CAO, Wen-zheng DU, Bao-zhu MA *

Dynamic Modelling of Hoisting Steel Wire Rope. Da-zhi CAO, Wen-zheng DU, Bao-zhu MA * 17 nd Intrnational Confrnc on Mchanical Control and Automation (ICMCA 17) ISBN: 978-1-6595-46-8 Dynamic Modlling of Hoisting Stl Wir Rop Da-zhi CAO, Wn-zhng DU, Bao-zhu MA * and Su-bing LIU Xi an High

More information

Linear Algebra Provides a Basis for Elasticity without Stress or Strain

Linear Algebra Provides a Basis for Elasticity without Stress or Strain Soft, 05, 4, 5-4 Publshd Onln Sptmbr 05 n ScRs. http://www.scrp.org/ournal/soft http://dx.do.org/0.46/soft.05.400 Lnar Algbra Provds a Bass for Elastcty wthout Strss or Stran H. H. Hardy Math/Physcs Dpartmnt,

More information

Review - Probabilistic Classification

Review - Probabilistic Classification Mmoral Unvrsty of wfoundland Pattrn Rcognton Lctur 8 May 5, 6 http://www.ngr.mun.ca/~charlsr Offc Hours: Tusdays Thursdays 8:3-9:3 PM E- (untl furthr notc) Gvn lablld sampls { ɛc,,,..., } {. Estmat Rvw

More information

22/ Breakdown of the Born-Oppenheimer approximation. Selection rules for rotational-vibrational transitions. P, R branches.

22/ Breakdown of the Born-Oppenheimer approximation. Selection rules for rotational-vibrational transitions. P, R branches. Subjct Chmistry Papr No and Titl Modul No and Titl Modul Tag 8/ Physical Spctroscopy / Brakdown of th Born-Oppnhimr approximation. Slction ruls for rotational-vibrational transitions. P, R branchs. CHE_P8_M

More information

Fr Carrir : Carrir onntrations as a funtion of tmpratur in intrinsi S/C s. o n = f(t) o p = f(t) W will find that: n = NN i v g W want to dtrmin how m

Fr Carrir : Carrir onntrations as a funtion of tmpratur in intrinsi S/C s. o n = f(t) o p = f(t) W will find that: n = NN i v g W want to dtrmin how m MS 0-C 40 Intrinsi Smiondutors Bill Knowlton Fr Carrir find n and p for intrinsi (undopd) S/Cs Plots: o g() o f() o n( g ) & p() Arrhnius Bhavior Fr Carrir : Carrir onntrations as a funtion of tmpratur

More information

FINITE ELEMENT METHOD II Autumn 2015

FINITE ELEMENT METHOD II Autumn 2015 FEM II - Lctur Pag of 4 FINITE ELEMENT METHOD II Autumn 05 Lcturs (5h):. Accuracy, rror stmaton and adaptv rmshng. Hat flow and thrmal strsss n FEM 3. Introducton to structural dynamcs, fr vbratons 4.

More information

Thermal Comfort Analysis of an Automobile Driver with Heated and Ventilated Seat

Thermal Comfort Analysis of an Automobile Driver with Heated and Ventilated Seat -- Thermal Comfort Analyss of an Automoble Drver wth Heated and Ventlated Seat G. Karm, E.C. Chan, and J.R. Culham Department of Mechancal Engneerng, Unversty of Waterloo Waterloo, ON, Canada, NL G I.

More information

Modelling of new generation plasma optical devices

Modelling of new generation plasma optical devices NUKLEONIKA 216;61(2):27212 do: 1.1515/nuka-216-35 ORIGINAL PAPER Modllng of nw gnraton plasma optcal dvcs Irna V. Ltovko, Aly A. Goncharov, Andrw N. Dobrovolsky, Lly V. Nako, Irna V. Nako Abstract. Th

More information