Question: = 2yx + 2xy 2 = 1 = 0 ) The velocity field above can be represented as the gradient of a scalar potential: =

= 2yx + 2xy 2 = 1 = 0 ) The velocity field above can be represented as the gradient of a scalar potential: = 7o. Find 0(x,y), setting the integration constant to 0. -) The streamlines of the velocity field are given by (x,y) = y2 x2, as shown in the plot at the right. Set 0 = + 4, solve for y and then draw the resulting equipotential lines. ) What is the relationship between lines of constant Y and lines of constant ? Hint: It may help to draw your answer to (b) on top of the plot at the right. It may also help to draw the two lines for Q = 0. -2 -4 0 2
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