The flow of a particular fluid is described by a velocity field given a u = x²y v = x³ = xy² w = 0 1. Derive an expression for its pressure field p(x, y) given that 2. Determine the pressure variation along the x-axis given that pressure is po. 3. Determine the pressure variation along the y-axis given that pressure is po. takas Es
The flow of a particular fluid is described by a velocity field given a u = x²y v = x³ = xy² w = 0 1. Derive an expression for its pressure field p(x, y) given that 2. Determine the pressure variation along the x-axis given that pressure is po. 3. Determine the pressure variation along the y-axis given that pressure is po. takas Es
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
ANSWER NUMBER 3 ONLY.
WRITE LEGIBLY OR TYPEWRITE THE SOLUTIONS. BOX THE ANSWER.
![The flow of a particular fluid is described by a velocity field given as
u = x²y
v = x3 — xy²
w= 0
-
1. Derive an expression for its pressure field p(x, y) given that at (0, 0), its pressure is po.
2. Determine the pressure variation along the x-axis given that at x = 0, y = 0, and h = 0, the
pressure is po.
3. Determine the pressure variation along the y-axis given that at x = 0, y = 0, and h = 0, the
pressure is po.
Navier-Stokes Equation
ди
ди
др
ди
to-tw =
ду
(82u azu ə2u)
+ +
əz
?x
?х2 т ду2 т дzz
дv
дv др
to-tw ==
ду дz)
1020 ого аго
+
+
дх2 ду2 дz2
ди ?u
tu +w-
ди ди
+
?х ду дz at
ду Əv
Əv Əv
•+w +
ду дz at
И
Əv
u
Euler Equation
10
pdx
10
рду
(p +yh) = u
(p +yh) = uz то-
?x
+ н
u](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1f402267-58a9-455a-abc2-795b1b3445c6%2F3790d977-f544-41ec-a533-8068da0e7bcd%2Fq6px7rf_processed.png&w=3840&q=75)
Transcribed Image Text:The flow of a particular fluid is described by a velocity field given as
u = x²y
v = x3 — xy²
w= 0
-
1. Derive an expression for its pressure field p(x, y) given that at (0, 0), its pressure is po.
2. Determine the pressure variation along the x-axis given that at x = 0, y = 0, and h = 0, the
pressure is po.
3. Determine the pressure variation along the y-axis given that at x = 0, y = 0, and h = 0, the
pressure is po.
Navier-Stokes Equation
ди
ди
др
ди
to-tw =
ду
(82u azu ə2u)
+ +
əz
?x
?х2 т ду2 т дzz
дv
дv др
to-tw ==
ду дz)
1020 ого аго
+
+
дх2 ду2 дz2
ди ?u
tu +w-
ди ди
+
?х ду дz at
ду Əv
Əv Əv
•+w +
ду дz at
И
Əv
u
Euler Equation
10
pdx
10
рду
(p +yh) = u
(p +yh) = uz то-
?x
+ н
u
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