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Engineering and Tech / Fluid Mechanics 2 / Chapter 4 / Problem 41P

Fluid Mechanics | 2nd Edition | ISBN: 9780071284219 | Authors: Yunus A. Cengel, John M. Cimbala

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The velocity field for a line source in the r? -plane

Chapter 4, Problem 41P

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QUESTION:

Problem 41P

The velocity field for a line source in the rθ -plane (Fig. P4‒43) is given by

where m is the line source strength. For the case with m/(2π)= 1.5 m 2/s, plot a contour plot of velocity magnitude (speed). Specifically, draw curves of constant speed V = 0.5, 1.0,1.5, 2.0, and 2.5 m/s. Be sure to label these speeds on your plot.

FIGURE P4‒43

Questions & Answers

QUESTION:

Problem 41P

The velocity field for a line source in the rθ -plane (Fig. P4‒43) is given by

where m is the line source strength. For the case with m/(2π)= 1.5 m 2/s, plot a contour plot of velocity magnitude (speed). Specifically, draw curves of constant speed V = 0.5, 1.0,1.5, 2.0, and 2.5 m/s. Be sure to label these speeds on your plot.

FIGURE P4‒43

ANSWER:

Step 1

The velocity field of line source is given we have to plot the contour plot for different velocities.

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