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 anddirection. (d) If the source is placed near a corner where the distance from horizontal and vertical plate are 1 m, determinethe stream function of the potential flow and find the velocity on the horizontal plate right below the source.=

The objective of the question is to determine the stream function of the potential flow in both…

Answered: Question 3 : A line source at y-axis is…

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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1. Stagnation Points A steady incompressible three dimensional velocity field is given by: V = (2 – 3x + x²) î + (y² – 8y + 5)j + (5z² + 20z + 32)k Where the x-, y- and z- coordinates are in [m] and the magnitude of velocity is in [m/s]. a) Determine coordinates of possible stagnation points in the flow. b) Specify a region in the velocity flied containing at least one stagnation point. c) Find the magnitude and direction of the local velocity field at 4- different points that located at equal- distance from your specified stagnation point.
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