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
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question
REFERENCE: FROM BOOK - ENGINEERING THERMOFLUIDS, M. MASSOUD

Transcribed Image Text:34. Use the Gauss divergence theorem to obtain Equation III..3.13 from III..3.2.

Transcribed Image Text:pdV |+
C.V.'
„P7 · dš) = 0
Ew =w, + [c.s.P(7 dš)– llcs.īd5+Wg
Ша.3.2
+...
Ша.3.10
Electric + W
Magnetic
at
e =u+ pV² / 2+ pgZ
k.s. PV - dš) = E(pVA), - E (pVA)in =
Em. - Emm =
Exit Ports
Inlet Ports
Exit Ports
Inlet Ports
the first law of thermodynamics can be written as:
IIIa.3.3
P v?
(sp-
Ша.3.11
EQ=EW, + PV +
dt
+ gZ pdV +
u +-+
+ gZ
D
2
Ша.3.4
C.S..ports
С.У.
Dt
dt
+ 82, |+E¢+j*v=Ew, + Pv +)
D
-+ gZe
(mv )system=_F =2 FBody Force +
FSurface Force
IIIa.3.5
%3D
Dt
Ша.3.12
2FBody Force +
·2Fsurface Force =
The general form of the continuity equation that is independent of any coordinate
system can be written as:
at
C.V.
C.S.
Ша.3.6
др
+V· pV = 0
dt
Ша.3.13
D
System
Dt
epdV |+
IIIa.3.7
dt
CS.
D
(E) $ystem = Lò-Ew
Ша.3.8
Dt
Substituting yields:
epdV |+
JC.S.
Ша.3.9
Ət
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