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2. Model the motion and effects of a tornado near a wall. Model with a source, consider the flow incompressible, inviscid induced by a

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2. Model the motion and effects of a tornado near a wall. Model with a source, consider the flow incompressible, inviscid induced by a source m and vortex of circulation I located at z = a in the presence of a wall represented by the imaginary axis. a) Construct the complex potential for this problem. b) Verify that the imaginary axis is a streamline (no penetration condition) c) Compute the velocity distribution along the imaginary axis induced by a tornado and sketch the velocity m positive (a source) and negative m (a sink) and briefly discuss the meaning of your findings. d) Compute the velocity of the tornado itself and sketch its' trajectory in the z plane for m+ and m- e) Using Blasius theorem compute the force acting on the tornado. I

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