REFERENCE: FROM BOOK - ENGINEERING THERMOFLUIDS, M. MASSOUD 34. Use the Gauss divergence theorem to obtain Equation III..3.13 from III..3.2. pdV |+C.V.'„P7 · dš) = 0Ew =w, + [c.s.P(7 dš)– llcs.īd5+WgШа.3.2+...Ша.3.10Electric + WMagneticate =u+ pV² / 2+ pgZk.s. PV - dš) = E(pVA), - E (pVA)in =Em. - Emm =Exit PortsInlet PortsExit PortsInlet Portsthe first law of thermodynamics can be written as:IIIa.3.3P v?(sp-Ша.3.11EQ=EW, + PV +dt+ gZ pdV +u +-++ gZD2Ша.3.4C.S..portsС.У.Dtdt+ 82, |+E¢+j*v=Ew, + Pv +)D-+ gZe(mv )system=_F =2 FBody Force +FSurface ForceIIIa.3.5%3DDtШа.3.122FBody Force +·2Fsurface Force =The general form of the continuity equation that is independent of any coordinatesystem can be written as:atC.V.C.S.Ша.3.6др+V· pV = 0dtШа.3.13DSystemDtepdV |+IIIa.3.7dtCS.D(E) $ystem = Lò-EwШа.3.8DtSubstituting yields:epdV |+JC.S.Ша.3.9Ət

Ew =w, + ſkc.s.P(7 aš)– Ic.s.F d$ + W Eletric + WM IIIa.3.2 IIIa.3.10 CV. Magnetic +... C.S. e =u+ pV ² 1 2+ pgZ ks, Pữ dš) = E(pva), - E (pVA)m = .- E* min = 0 Exit Ports Inlet Ports Exit Ports Inlet Ports the first law of thermodynamics can be written as: Illa.3.3 EQ =EW, + PV + +gZ + gZ D(mỹ )system Scr.Vpdv)+ [[cs.Vp(7 •dš) Illa.3.4 Dt IIla.3.11 D + gZ, + + PV - E Fsurface Force ISystem Illa.3.5 %3D Body Force + Dt Ша.3.12 F Body Force +FSurface Force =' The general form of the continuity equation that is independent of any coordinate CV. system can be written as: Illa.3.6 ap +ỹ• pV = 0 Ша.3.13 D epdV C.V. ep( . IIIa.3.7 System Dt (E)System =Lò-Ew Ша.3.8 Dt ubstituting yields: v]+ [[..«p7 • dš) epdV Ша.3.9

Ew =w, + ſkc.s.P(7 aš)– Ic.s.F d$ + W Eletric + WM IIIa.3.2 IIIa.3.10 CV. Magnetic +... C.S. e =u+ pV ² 1 2+ pgZ ks, Pữ dš) = E(pva), - E (pVA)m = .- E* min = 0 Exit Ports Inlet Ports Exit Ports Inlet Ports the first law of thermodynamics can be written as: Illa.3.3 EQ =EW, + PV + +gZ + gZ D(mỹ )system Scr.Vpdv)+ [[cs.Vp(7 •dš) Illa.3.4 Dt IIla.3.11 D + gZ, + + PV - E Fsurface Force ISystem Illa.3.5 %3D Body Force + Dt Ша.3.12 F Body Force +FSurface Force =' The general form of the continuity equation that is independent of any coordinate CV. system can be written as: Illa.3.6 ap +ỹ• pV = 0 Ша.3.13 D epdV C.V. ep( . IIIa.3.7 System Dt (E)System =Lò-Ew Ша.3.8 Dt ubstituting yields: v]+ [[..«p7 • dš) epdV Ша.3.9

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter4: Numerical Analysis Of Heat Conduction

Section: Chapter Questions

Problem 4.41P

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