1. Find the pressure gradient at point (a,b) when the pressure field is given by P = P(sinsin+2) Where poc, Voc, a and b are constants. 2. Given the following expression for the pressure field where x, y, and z are space coordinates, t is time, and Po, p, Voc and L are constant, find the pressure gradient. 2 Voot P = Po + 1pV² [27732 + 3 (+47) ² + √x²] xyz L3 L 3. Using the expression for the gradient in polar coordinates, find the gradient of w (r, 0) when = Arsin rsinė (1-2) μ 4. Using the expression for the velocity profile through two parallel plates distanced by 2d др apart along y direction, and have width of w and length of L. µ is viscosity and - OP; is a дх constant pressure gradient drive the flow. Velocity is parallel to the plate along the longitudinal direction. 1 Vx = (d² - y²) 2μ მ
1. Find the pressure gradient at point (a,b) when the pressure field is given by P = P(sinsin+2) Where poc, Voc, a and b are constants. 2. Given the following expression for the pressure field where x, y, and z are space coordinates, t is time, and Po, p, Voc and L are constant, find the pressure gradient. 2 Voot P = Po + 1pV² [27732 + 3 (+47) ² + √x²] xyz L3 L 3. Using the expression for the gradient in polar coordinates, find the gradient of w (r, 0) when = Arsin rsinė (1-2) μ 4. Using the expression for the velocity profile through two parallel plates distanced by 2d др apart along y direction, and have width of w and length of L. µ is viscosity and - OP; is a дх constant pressure gradient drive the flow. Velocity is parallel to the plate along the longitudinal direction. 1 Vx = (d² - y²) 2μ მ
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![1. Find the pressure gradient at point (a,b) when the pressure field is given by
P = P(sinsin+2)
Where poc, Voc, a and b are constants.
2. Given the following expression for the pressure field where x, y, and z are space
coordinates, t is time, and Po, p, Voc and L are constant, find the pressure gradient.
2 Voot
P = Po + 1pV² [27732 + 3 (+47) ² + √x²]
xyz
L3
L
3. Using the expression for the gradient in polar coordinates, find the gradient of w (r, 0)
when
= Arsin
rsinė (1-2)
μ
4. Using the expression for the velocity profile through two parallel plates distanced by 2d
др
apart along y direction, and have width of w and length of L. µ is viscosity and - OP;
is a
дх
constant pressure gradient drive the flow. Velocity is parallel to the plate along the
longitudinal direction.
1
Vx =
(d² - y²)
2μ
მ](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6f3e5576-0f79-4ac1-b31d-3e0bb619ebe7%2F5b6547db-a4b3-422d-ad13-ccef84b7f922%2F4ycqlhs_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Find the pressure gradient at point (a,b) when the pressure field is given by
P = P(sinsin+2)
Where poc, Voc, a and b are constants.
2. Given the following expression for the pressure field where x, y, and z are space
coordinates, t is time, and Po, p, Voc and L are constant, find the pressure gradient.
2 Voot
P = Po + 1pV² [27732 + 3 (+47) ² + √x²]
xyz
L3
L
3. Using the expression for the gradient in polar coordinates, find the gradient of w (r, 0)
when
= Arsin
rsinė (1-2)
μ
4. Using the expression for the velocity profile through two parallel plates distanced by 2d
др
apart along y direction, and have width of w and length of L. µ is viscosity and - OP;
is a
дх
constant pressure gradient drive the flow. Velocity is parallel to the plate along the
longitudinal direction.
1
Vx =
(d² - y²)
2μ
მ
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