Fully developed flow moving a 40 cm diameter pipe has the following velocity profile: Radius r, cm 0.02.55.07.510.0 12.5 15.0 17.5 20.0 Velocity v, m/s 0.914 0.890 0.847 0.795 0.719 0.543 0.427 0.204 0 Find the volumetric flow rate Q integrate from 0 to R using the relationship Q = _0^R_2nrvdr. Where r is the radial axis of the pipe, R is the radius of the pipe and v is the velocity. Solve the problem using two steps. Fit a polynomial curve to the velocity data using polyfit. Integrate the equation using int.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Fully developed flow moving a 40 cm diameter pipe
has the following velocity profile:
Radius r, cm 0.02.55.07.510.0 12.5 15.0 17.5 20.0
Velocity v, m/s 0.914 0.890 0.847 0.795 0.719
0.543 0.427 0.204 0
Find the volumetric flow rate Q integrate from 0 to R
using the relationship Q = [_0^R_ 2rtrvdr.
Where r is the radial axis of the pipe, R is the radius
of the pipe and v is the velocity. Solve the problem
using two steps.
Fit a polynomial curve to the velocity data using
polyfit.
Integrate the equation using int.
Transcribed Image Text:Fully developed flow moving a 40 cm diameter pipe has the following velocity profile: Radius r, cm 0.02.55.07.510.0 12.5 15.0 17.5 20.0 Velocity v, m/s 0.914 0.890 0.847 0.795 0.719 0.543 0.427 0.204 0 Find the volumetric flow rate Q integrate from 0 to R using the relationship Q = [_0^R_ 2rtrvdr. Where r is the radial axis of the pipe, R is the radius of the pipe and v is the velocity. Solve the problem using two steps. Fit a polynomial curve to the velocity data using polyfit. Integrate the equation using int.
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