Question
[fluid mechanics] The streamlines of a fluid flow are given by$$y=3 x+c$$where $c$ is a constant. On the same axes, sketch the graphs for $c=-10,-5,-1,0,1,5$ and 10
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Step 2: Sketch the lines for different values of c For each value of c, we can find the y-intercept and sketch the line with a slope of 3. Show more…
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A fluid has velocity components of $u=(10 x y) \mathrm{m} / \mathrm{s}$ and $v=5\left(x^{2}-y^{2}\right) \mathrm{m} / \mathrm{s},$ where $x$ and $y$ are in meters. Determine the stream function, and show that the continuity condition is satisfied and that the flow is irrotational. Plot the streamlines for $\psi_{0}=0, \psi_{1}=1 \mathrm{~m}^{2} / \mathrm{s},$ and $\psi_{2}=2 \mathrm{~m}^{2} / \mathrm{s}$.
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