Problem 2: Obtaining velocity components from streamlines The stream function for a particular flow is given by the equation: y = 2x² - 2y Determine the velocity components of the flow, make sure we satisfy continuity and plot the streamlines.
Problem 2: Obtaining velocity components from streamlines The stream function for a particular flow is given by the equation: y = 2x² - 2y Determine the velocity components of the flow, make sure we satisfy continuity and plot the streamlines.
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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problem 2 please.

Transcribed Image Text:Problem 2: Obtaining velocity components from streamlines
The stream function for a particular flow is given by the equation:
y = 2x² – 2y?
Determine the velocity components of the flow, make sure we satisfy continuity and plot the
%3D
-
streamlines.
Problem 3: Obtaining the stream function from velocity components
The steady state, incompressible flow field for two-dimensional flow is given by the following
velocity components:
v =16y-x and v, =16x + y
%3D
Determine the equation for the stream function and make sure continuity is satisfied.
Problem 4: Vorticity of flow
A two-dimensional velocity is given by the equation:
v = 6yi +6xj
Is the flow rotational or irrotational? Show the details of your work for full credit.
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