(E) A uniform stream of fluid with speed U at infinity flows two-dimensionally and irrota- tionally towards a circular cylinder of radius a. The surface of the cylinder is porous and fluid is drawn inwards with normal velocity 2U inwards at the surface. The circulation about the cylinder is zero. 1. Find a real velocity potential for the flow. 2. Find a complex velocity potential for the flow. 3. Find any stagnation points in the flow 4. Find a streamfunction for the flow. 5. Sketch the streamlines of the flow, distinguishing quantitatively between the fluid entering the cylinder and the fluid passing the cylinder.

(E) A uniform stream of fluid with speed U at infinity flows two-dimensionally and irrota- tionally towards a circular cylinder of radius a. The surface of the cylinder is porous and fluid is drawn inwards with normal velocity 2U inwards at the surface. The circulation about the cylinder is zero. 1. Find a real velocity potential for the flow. 2. Find a complex velocity potential for the flow. 3. Find any stagnation points in the flow 4. Find a streamfunction for the flow. 5. Sketch the streamlines of the flow, distinguishing quantitatively between the fluid entering the cylinder and the fluid passing the cylinder.

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Description: (E) A uniform stream of fluid with speed U at infinity flows two-dimensionally and irrota-tionally towards a circular cylinder of radius a. The surface of the cylinder is porous and fluidis drawn inwards with normal velocity 2U inwards at the surfac

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

(E) A uniform stream of fluid with speed U at infinity flows two-dimensionally and irrota-
tionally towards a circular cylinder of radius a. The surface of the cylinder is porous and fluid
is drawn inwards with normal velocity 2U inwards at the surface. The circulation about the
cylinder is zero.
1. Find a real velocity potential for the flow.
2. Find a complex velocity potential for the flow.
3. Find any stagnation points in the flow
4. Find a streamfunction for the flow.
5. Sketch the streamlines of the flow, distinguishing quantitatively between the fluid entering
the cylinder and the fluid passing the cylinder.

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