The pressure drop in a long, uniform length of pipe is a function of fluid density, mean velocity in the pipe, the diameter of the pipe, viscosity, the length of the pipe, and the equivalent sand grain roughness (units of length) of the pipe. The equation is shown below. Develop the dimensional matrix using M (mass), L (length), and T (time) for this phenomenon, and determine its rank. Ap = f(p.V.D.µ.L.ɛ)

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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The pressure drop in a long, uniform length of pipe is a function of fluid density, mean velocity in the
pipe, the diameter of the pipe, viscosity, the length of the pipe, and the equivalent sand grain roughness
(units of length) of the pipe. The equation is shown below. Develop the dimensional matrix using M
(mass), L (length), and T (time) for this phenomenon, and determine its rank.
Ap = f(p.V.D.µ.L.ɛ)
Transcribed Image Text:The pressure drop in a long, uniform length of pipe is a function of fluid density, mean velocity in the pipe, the diameter of the pipe, viscosity, the length of the pipe, and the equivalent sand grain roughness (units of length) of the pipe. The equation is shown below. Develop the dimensional matrix using M (mass), L (length), and T (time) for this phenomenon, and determine its rank. Ap = f(p.V.D.µ.L.ɛ)
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