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The velocity field of a two-dimensional incompressible flow is given by u= kv (x? + y?) v = -kx/(x? + y?) where k is a constant. (C) Show that this flow satisfies the incompressible continuity equation (d) Is the flow rotational? [Use criterion for irrotational flow] (e) Determine the equations of the streamlines; sketch the streamlines. What kind of elementary flow is this? (f) Determine the stream function. (g) Determine the velocity potential

The velocity field of a two-dimensional incompressible flow is given by u= kv (x? + y?) v = -kx/(x? + y?) where k is a constant. (C) Show that this flow satisfies the incompressible continuity equation (d) Is the flow rotational? [Use criterion for irrotational flow] (e) Determine the equations of the streamlines; sketch the streamlines. What kind of elementary flow is this? (f) Determine the stream function. (g) Determine the velocity potential

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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The velocity field of a two-dimensional incompressible flow is given by u= kv (x? + y?) v = -kx/(x? + y?) where k is a constant. (C) Show that this flow satisfies the incompressible continuity equation (d) Is the flow rotational? [Use criterion for irrotational flow] (e) Determine the equations of the streamlines; sketch the streamlines. What kind of elementary flow is this? (f) Determine the stream function. (g) Determine the velocity potential
Transcribed Image Text:The velocity field of a two-dimensional incompressible flow is given by u= kv (x? + y?) v = -kx/(x? + y?) where k is a constant. (C) Show that this flow satisfies the incompressible continuity equation (d) Is the flow rotational? [Use criterion for irrotational flow] (e) Determine the equations of the streamlines; sketch the streamlines. What kind of elementary flow is this? (f) Determine the stream function. (g) Determine the velocity potential
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