Your textbook shows that the Navier-Stokes Equation for v, in cylindrical coordinates is: Our + Uodur 1/2 + 0₂ 037) ve aur - Uz r de r² az ар Ər P aur at + Ur ar plour +uror P ar at while Bird, Stewart, and Lightfoot show this equation to be: our un aur ur - 2) მს + Uz az + r de = + pgr + μ 10² 2 dve, a²u₁] + 14 = 3² (²00²) - 1/² + 1/²2 30 2² 1² 30 + 3z² - * 12 ар Ər Prove that these are the same. /1 2 -H [ 2 (-²-3, (ru) + ²1 200² - ² 000 +02 Ər r2 + pgr + μ
Your textbook shows that the Navier-Stokes Equation for v, in cylindrical coordinates is: Our + Uodur 1/2 + 0₂ 037) ve aur - Uz r de r² az ар Ər P aur at + Ur ar plour +uror P ar at while Bird, Stewart, and Lightfoot show this equation to be: our un aur ur - 2) მს + Uz az + r de = + pgr + μ 10² 2 dve, a²u₁] + 14 = 3² (²00²) - 1/² + 1/²2 30 2² 1² 30 + 3z² - * 12 ар Ər Prove that these are the same. /1 2 -H [ 2 (-²-3, (ru) + ²1 200² - ² 000 +02 Ər r2 + pgr + μ
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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![Your textbook shows that the Navier-Stokes Equation for v, in cylindrical coordinates is:
Our + Uodur 1/2 + 0₂ 037)
ve
aur
-
Uz
r de
r²
az
ар
Ər
P
aur
at
+ Ur ar
plour +uror
P
ar
at
while Bird, Stewart, and Lightfoot show this equation to be:
our un aur ur - 2)
მს
+ Uz az
+
r de
=
+ pgr + μ
10² 2 dve, a²u₁]
+ 14 = 3² (²00²) - 1/² + 1/²2 30 2² 1² 30 + 3z²
-
*
12
ар
Ər
Prove that these are the same.
/1
2
-H [ 2 (-²-3, (ru) + ²1 200² - ² 000 +02
Ər
r2
+ pgr + μ](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc77f544a-ee3e-4902-8958-66e53c68e4a2%2F67f3c6b8-8f23-446f-982a-da976019f0ec%2Fjwxtzvm_processed.png&w=3840&q=75)
Transcribed Image Text:Your textbook shows that the Navier-Stokes Equation for v, in cylindrical coordinates is:
Our + Uodur 1/2 + 0₂ 037)
ve
aur
-
Uz
r de
r²
az
ар
Ər
P
aur
at
+ Ur ar
plour +uror
P
ar
at
while Bird, Stewart, and Lightfoot show this equation to be:
our un aur ur - 2)
მს
+ Uz az
+
r de
=
+ pgr + μ
10² 2 dve, a²u₁]
+ 14 = 3² (²00²) - 1/² + 1/²2 30 2² 1² 30 + 3z²
-
*
12
ар
Ər
Prove that these are the same.
/1
2
-H [ 2 (-²-3, (ru) + ²1 200² - ² 000 +02
Ər
r2
+ pgr + μ
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