You are asked to estimate the water flow rate in a pipe of radius 2 m at a remote area location with a harsh environment. You already know that velocity varies along the radial location, but you do not know how it varies. The flow rate Q is given by Q = | 2rVd To save money, you are allowed to put only two velocity probes (these probes send the data to the central office in New York, NY via satellite) in the pipe. Radial location, r is measured from the center of the pipe, that is r = 0 is the center of the pipe and r = 2m is the pipe radius. The radial locations you would suggest for the two velocity probes for the most accurate calculation of the flow rate are

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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You are asked to estimate the water flow rate in a pipe of radius 2 m at a remote area
location with a harsh environment. You already know that velocity varies along the
radial location, but you do not know how it varies. The flow rate Q is given by
Q= [2mVdr
To save money, you are allowed to put only two velocity probes (these probes send
the data to the central office in New York, NY via satellite) in the pipe. Radial
location, r is measured from the center of the pipe, that is r= 0 is the center of the
pipe and r = 2m is the pipe radius. The radial locations you would suggest for the
two velocity probes for the most accurate calculation of the flow rate are
Transcribed Image Text:You are asked to estimate the water flow rate in a pipe of radius 2 m at a remote area location with a harsh environment. You already know that velocity varies along the radial location, but you do not know how it varies. The flow rate Q is given by Q= [2mVdr To save money, you are allowed to put only two velocity probes (these probes send the data to the central office in New York, NY via satellite) in the pipe. Radial location, r is measured from the center of the pipe, that is r= 0 is the center of the pipe and r = 2m is the pipe radius. The radial locations you would suggest for the two velocity probes for the most accurate calculation of the flow rate are
(А) 0, 2
(B) 1, 2
(С) 0, 1
(D) 0.42, 1.58
Transcribed Image Text:(А) 0, 2 (B) 1, 2 (С) 0, 1 (D) 0.42, 1.58
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