Question 5 (i) Find a function 4(r, 0) that is harmonic outside the circle r = a, and satisfies the boundary conditions

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Question 5 (i) Find a function 4(r, 0) that is harmonic outside the circle r = a, and satisfies the boundary conditions

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Question 5 I Find A Function 4 R 0 That Is Harmonic Outside The Circle R A And Satisfies The Boundary Conditions 1
Question 5 I Find A Function 4 R 0 That Is Harmonic Outside The Circle R A And Satisfies The Boundary Conditions 1 (68.23 KiB) Viewed 27 times
Question 5 (i) Find a function 4(r, 0) that is harmonic outside the circle r = a, and satisfies the boundary conditions მW | r-00 = 0, V Ur sin . ae Ir=a (ii) Suppose the velocity field for a flow is prescribed by u = (u, v) = (øy, -4x), = = where 4 is given by part (i). Compute u, and determine the behaviour of the flow away from the circle (that is, as r becomes large).
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