Fully developed flow of a Bingham plasticfluid moving through a 12-in diameter pipe has the given velocity profile. The flow of a Bingham fluid does not shear the center core, producing plug flow in the region around the centerline.
Radius, r, in | 0 | 1 | 2 | 3 | 4 | 5 | 6 |
Velocity, v, ft/s | 5.00 | 5.00 | 4.62 | 4.01 | 3.42 | 1.69 | 0.00 |
Find the total volume flow rate Q using the relationship
(a) Fit a polynomial curve to the noncore data and integrate.
(b) Use multiple-application Simpson's rule to integrate.
(c) Find the percent error using the
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Numerical Methods for Engineers
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