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Question 3 : A line source at y-axis is located 1 m above the horizontal plate (x-axis), where the flow rate per unit length is, m²/s.. (a) Using x, and, y, in m, write the stream function of the potential flow in both Cartesian and polar coordinates. (b) Express the radial component velocity in polar coordinates and hence find the velocity magnitude at, x = 0, and, y = 2. (c) Calculate the radial and angular component velocity at, x = 1, and, y 1, and hence find the velocity magnitude and direction. (d) If the source is placed near a corner where the distance from horizontal and vertical plate are 1 m, determine the stream function of the potential flow and find the velocity on the horizontal plate right below the source. =

Question 3 : A line source at y-axis is located 1 m above the horizontal plate (x-axis), where the flow rate per unit length is, m²/s.. (a) Using x, and, y, in m, write the stream function of the potential flow in both Cartesian and polar coordinates. (b) Express the radial component velocity in polar coordinates and hence find the velocity magnitude at, x = 0, and, y = 2. (c) Calculate the radial and angular component velocity at, x = 1, and, y 1, and hence find the velocity magnitude and direction. (d) If the source is placed near a corner where the distance from horizontal and vertical plate are 1 m, determine the stream function of the potential flow and find the velocity on the horizontal plate right below the source. =

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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Question 3 : A line source at y-axis is located 1 m above the horizontal plate (x-axis), where the flow rate per unit length is, m²/s.. (a) Using x, and, y, in m, write the stream function of the potential flow in both Cartesian and polar coordinates. (b) Express the radial component velocity in polar coordinates and hence find the velocity magnitude at, x = 0, and, y = 2. (c) Calculate the radial and angular component velocity at, x = 1, and, y 1, and hence find the velocity magnitude and direction. (d) If the source is placed near a corner where the distance from horizontal and vertical plate are 1 m, determine the stream function of the potential flow and find the velocity on the horizontal plate right below the source. =
Transcribed Image Text:Question 3 : A line source at y-axis is located 1 m above the horizontal plate (x-axis), where the flow rate per unit length is, m²/s.. (a) Using x, and, y, in m, write the stream function of the potential flow in both Cartesian and polar coordinates. (b) Express the radial component velocity in polar coordinates and hence find the velocity magnitude at, x = 0, and, y = 2. (c) Calculate the radial and angular component velocity at, x = 1, and, y 1, and hence find the velocity magnitude and direction. (d) If the source is placed near a corner where the distance from horizontal and vertical plate are 1 m, determine the stream function of the potential flow and find the velocity on the horizontal plate right below the source. =
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