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

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Polynomial Functions

Section3.5: Mathematical Modeling And Variation

Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...

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