2. Consider a two-dimensional flow given in Cartesian coordinates by V = 2xi ? 2

Question

2. Consider a two-dimensional flow given in Cartesian coordinates by V = 2xi ? 2yj m/s a. [5] What are the magnitude and direction of the velocity at (1, 2)? Show your work. b. [5] What are the magnitude and direction of the acceleration at (1, 2)? Show your work. c. 110] A streamline is defined as a line whose tangent is parallel to the velocity vector. For a two dimensional flow, it is defined as dy/dx =v/u where (u, v) are the (x, y) velocity components. Integrate the above equation to derive an equation for the streamlines. From the streamline equation, plot individual streamlines that pass through (1,2), (2,2) and (3,2). Your plot must be computer generated, e.g., using EXCEL or MATLAB. The plot must be of large size, labeled and clear graphics for credit. Show your work.

Explanation / Answer

http://tinypic.com/r/bi192s/8

http://tinypic.com/r/if34t4/8

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