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A steady, 2-D flow field is represented by the velocity vector = x' sin y i +3x´ cos y j where i and j are the unit vectors along the x and y axes, respectively. (a) Does the stream function exist? (b) If yes, find the stream function y(x, y), as well as write the equation for the streamlines. (c) Using the above velocity components in the u -momentum equation, find an expression for the pressure gradient . Neglect gravity. (d) From the in part (c), find an expression for the pressure p .

A steady, 2-D flow field is represented by the velocity vector = x' sin y i +3x´ cos y j where i and j are the unit vectors along the x and y axes, respectively. (a) Does the stream function exist? (b) If yes, find the stream function y(x, y), as well as write the equation for the streamlines. (c) Using the above velocity components in the u -momentum equation, find an expression for the pressure gradient . Neglect gravity. (d) From the in part (c), find an expression for the pressure p .

Elements Of Electromagnetics
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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I am working on a practice exam and I wanted to be certain if I was going about the problem correctly.

A steady, 2-D flow field is represented by the velocity vector = x' sin y i +3x´ cos y j where i and j are the unit vectors along the x and y axes, respectively. (a) Does the stream function exist? (b) If yes, find the stream function y(x, y), as well as write the equation for the streamlines. (c) Using the above velocity components in the u -momentum equation, find an expression for the pressure gradient . Neglect gravity. (d) From the in part (c), find an expression for the pressure p .
Transcribed Image Text:A steady, 2-D flow field is represented by the velocity vector = x' sin y i +3x´ cos y j where i and j are the unit vectors along the x and y axes, respectively. (a) Does the stream function exist? (b) If yes, find the stream function y(x, y), as well as write the equation for the streamlines. (c) Using the above velocity components in the u -momentum equation, find an expression for the pressure gradient . Neglect gravity. (d) From the in part (c), find an expression for the pressure p .
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