Problem 5: Dimensional AnalysisUse the Buckingham Pi Theorem (Song, 2018, pages 219-221) to derive an equation for frictionhead loss, hr, as a function of gravitational acceleration, g, pipe diameter, D, pipe length, L, andaverage velocity, V=QIA.Step 1-List the dimensional parameters (N, ni, n2, ...).Step 2-List the dimensions of all parameters in terms of primary dimensions.Step 3-Select a set of primary dimensions (MLT or FLT).Step 4-Select a set of repeating parameters.Step 5-Set up one or more dimensional equations in the form N= n*n2n3², then solve for theunknown exponents.

Gravitational accelerationPipe diameterPipe lengthAverage velocityTo find: Equation for friction…

Problem 5: Dimensional Analysis Use the Buckingham Pi Theorem (Song, 2018, pages 219-221) to derive an equation for friction head loss, hr, as a function of gravitational acceleration, g, pipe diameter, D, pipe length, L, and average velocity, V=Q/A. Step 1-List the dimensional parameters (N, n₁, n₂, ...). Step 2-List the dimensions of all parameters in terms of primary dimensions. Step 3-Select a set of primary dimensions (MLT or FLT). Step 4-Select a set of repeating parameters. Step 5-Set up one or more dimensional equations in the form N= n*n2n3², then solve for the unknown exponents.

Problem 5: Dimensional Analysis Use the Buckingham Pi Theorem (Song, 2018, pages 219-221) to derive an equation for friction head loss, hr, as a function of gravitational acceleration, g, pipe diameter, D, pipe length, L, and average velocity, V=Q/A. Step 1-List the dimensional parameters (N, n₁, n₂, ...). Step 2-List the dimensions of all parameters in terms of primary dimensions. Step 3-Select a set of primary dimensions (MLT or FLT). Step 4-Select a set of repeating parameters. Step 5-Set up one or more dimensional equations in the form N= n*n2n3², then solve for the unknown exponents.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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