Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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![3. Following the procedure outlined in the lecture on "Differential Equations of Fluid Flow",
show that 2-D differential control volume analysis results in the following y-momentum
equation:
(+v+-+(6+²) Sex
dy
dy ax dy
Start with the macroscopic momentum balance equation for the y-component.
at
Z
ΣΕ = = 2 [{[[{(pv,)dv] + [[ v, (pvn)d₁.
C.S.
Txx
X
C.V.
x,y+Ay
P
Ay
x,y
1
Txy
at,
+Tyy
v(x,y) = (vx(x,y), vy(x,y))
Ax
Txy
x+Δx,y+Δy
Tyy
Tyx
P
x+Δx,y
Txx](https://content.bartleby.com/qna-images/question/057bee6a-1f2b-4b6f-a49c-30fa16594819/3da165ba-09af-448e-b125-cd6d9e652679/6ye16o_processed.jpeg)
Transcribed Image Text:3. Following the procedure outlined in the lecture on "Differential Equations of Fluid Flow",
show that 2-D differential control volume analysis results in the following y-momentum
equation:
(+v+-+(6+²) Sex
dy
dy ax dy
Start with the macroscopic momentum balance equation for the y-component.
at
Z
ΣΕ = = 2 [{[[{(pv,)dv] + [[ v, (pvn)d₁.
C.S.
Txx
X
C.V.
x,y+Ay
P
Ay
x,y
1
Txy
at,
+Tyy
v(x,y) = (vx(x,y), vy(x,y))
Ax
Txy
x+Δx,y+Δy
Tyy
Tyx
P
x+Δx,y
Txx
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