The x-momentum part of the Navier-Stokes equations is др e + u + v d + w = P8x - ++ ( + ) ди ди ди ди dt dz dx2 ду? dz2 What form does the equation take if the x direction is in the horizontal plane and the flow is inviscid? du = pgx dz. др o (u + v + w др ) = P8x ди + u + v dx ди + w - ду dz dx ди dx + v + w ) :) = = ( ди + dx2 dz2 dz 0 = p8: - + + (* + +) др dx dx² dz² ди + u dt ди ди + v + w || - дх ду dz dx

The x-momentum part of the Navier-Stokes equations is др e + u + v d + w = P8x - ++ ( + ) ди ди ди ди dt dz dx2 ду? dz2 What form does the equation take if the x direction is in the horizontal plane and the flow is inviscid? du = pgx dz. др o (u + v + w др ) = P8x ди + u + v dx ди + w - ду dz dx ди dx + v + w ) :) = = ( ди + dx2 dz2 dz 0 = p8: - + + (* + +) др dx dx² dz² ди + u dt ди ди + v + w || - дх ду dz dx

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

The x-momentum part of the Navier-Stokes equations is
e + u 4 + v
= P8. - ++( + + )
ди
др
ди
dx
ди
+ w
du
dt
ду
dz
dx
dx2
dy2
dz²
What form does the equation take if the x direction is in the horizontal plane and the
flow is inviscid?
ди
p (u
ди
+ v
du + w 4) = Pgx – *
-
ду
ди
dx
др
= Pgx
ди
p + u
+ v
+ w
-
dt
dy
dx
+ w ) = µ (
Pu
+
dx2
ди
ди
ди
ди
( + u
+ v
dx
dy
dz
dy?
dz?
0 = p8x – + + ( )
Pu
dy?
Pu
dx2
ди
ди
ди
dp
P + u
u + v + w
-
dt
ду
||

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