Exercise 3 Water flows steadily in a rectangular pipeline with the following velocity field The problem can be assumed a 2D problem only in x and y. The shear stresses, Tyx = Txy=-9910 x N/m² and the acceleration of gravity in x is negligible. The normal stresses are equal giving oxx=0yy=-10000 N/m² at x = 1 and y = 2. Use the x and y components of the equations of motion to determine the normal stress throughout the fluid. Pgz + ها pgy+ do II Әт OT IY di + + Tyz მყ ·0 do y მყ + + V = 2 -(0.25x)² ĵ ƏTA bz 87zy 8z du = P =+u Ət 8/5 3/5 = P მ at Ju ər 。 / Əv dr + ú 35 350 +v Ju az by 6 du +v=+w dy + w dv dz

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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Exercise 3
Water flows steadily in a rectangular pipeline with the following velocity field
The problem can be assumed a 2D problem only in x and y.
The shear stresses, Tyx = xy = -9910 x N/m² and the
acceleration of gravity in x is negligible. The normal stresses
are equal giving oxx=0yy = -10000 N/m² at x = 1 and y = 2.
Use the x and y components of the equations of motion to
determine the normal stress throughout the fluid.
~
Pgz +
pgy +
80 xx
Ər
+
JT +
8x
ƏT
ду
0
do y
dy
+
+
V = 2 -(0.25x)² ĵ
ƏTÁ
bz
= P
87= = P
Təz
Ju
++ 21
Ət
მ
åt
du
əx
0
/ Əv
dr
+ ú
+v
+v
by
av
ду
+w
du
dz
Lo
/ əv
dz
+ w
Transcribed Image Text:Exercise 3 Water flows steadily in a rectangular pipeline with the following velocity field The problem can be assumed a 2D problem only in x and y. The shear stresses, Tyx = xy = -9910 x N/m² and the acceleration of gravity in x is negligible. The normal stresses are equal giving oxx=0yy = -10000 N/m² at x = 1 and y = 2. Use the x and y components of the equations of motion to determine the normal stress throughout the fluid. ~ Pgz + pgy + 80 xx Ər + JT + 8x ƏT ду 0 do y dy + + V = 2 -(0.25x)² ĵ ƏTÁ bz = P 87= = P Təz Ju ++ 21 Ət მ åt du əx 0 / Əv dr + ú +v +v by av ду +w du dz Lo / əv dz + w
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