Question: (D) Consider the complex velocity potential w(@) = m log sinh z. 1. Show that w(z) - m log = = 0 as z -

(D) Consider the complex velocity potential w(@) = m log sinh z. 1. Show that w(z) - m log = = 0 as z - 0. 2. Show that 3 {w(z) } is constant on the lines y = 17. Here 3 means Imaginary part. 3. Deduce that w(z) is the complex potential for a source of strength 2am at the origin in the presence of two straight solid boundaries a distance a apart. 4. Find the fluid velocity at a large distance from the source

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