Consider the following velocity potential for two-dimensional flow: $ = 2x – x² + y² a. Show that this potential satisfies the continuity equation b. Find the x- and y-components of velocity, u and v. Find the stream function and plot streamlines in the x-y plane C.

Consider the following velocity potential for two-dimensional flow: $ = 2x – x² + y² a. Show that this potential satisfies the continuity equation b. Find the x- and y-components of velocity, u and v. Find the stream function and plot streamlines in the x-y plane C.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter5: Analysis Of Convection Heat Transfer

Section: Chapter Questions

Problem 5.3P: Evaluate the Nusselt number for flow over a sphere for the following conditions: D=0.15m,k=0.2W/mK,...

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dont know where to start.. i am given the equation

Consider the following velocity potential for two-dimensional flow:
$ = 2x – x² + y²
a. Show that this potential satisfies the continuity equation
b. Find the x- and y-components of velocity, u and v.
Find the stream function and plot streamlines in the x-y plane
С.
d. Where are the stagnation points (if any), where V = 0?
е.
Find an expression for pressure and draw constant-pressure lines in the x-y plane.

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