MATH 301 Midterm: MATH 301 2006 Winter Test 2 sec201
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Math 301 (201) final examination - april 2007. The complex potential w(z) for a source of strength 2 located at z = a in a steady inviscid ow is w(z) = log(z a) A source of strength 2 is located at z = 1 + i, and the x axis is a solid barrier. For this ow, nd: (a) the complex potential of this ow w1(z) in the region im(z) > 0. (b) the velocity components along the x axis. (c) the velocity components at the point x = 0, y = 2. 2 : [20] (a) a function is de ned as g(z) = z. 2 with a nite branch cut for y = 0, 0 < x < 1, and g( 1+i. Find g(i) and g( 1 i (b) evaluate, carefully explaining all steps, Math 301(201) page 2: [20] (a) solve: 2 = 0 in {im z > 0} {|z 2i| > 2} with.
