Discuss the multiple-application simpson one-third rule

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Reference no: EM131562673

Question: Fully developed flow moving through a 40-cm diameter pipe has the following velocity profile:

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Find the volume flow rate Q using the relationship Q = ?^?R0 2I?rI? dr, where r is the radial axis of the pipe, R is the radius of the pipe, and I? is the velocity. Solve the problem using two different approaches.

(a) Fit a polynomial carve to the velocity data and integrate analytically.

(b) Use multiple-application Simpson's 1/3 rule to integrate.

(c) Find the percent error using the integral of the polynomial fit as the more correctvalue.

Reference no: EM131562673

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