An engineer would like to create a formula to determine the force exerted by a river flow on a bridge column. The figure of the problem is shown here in front and top views. Front view 18 h Water properties V, P, μ Top view This problems is similar but not the same of the exercise I solved in the class notes. Note that there are more variables which may be relevant for this problem, such as the gravity g and the flow depth h. Use the Buckingham Pi Theory to find an expression for the force F. 1) What popular non-dimensional numbers do you see? 2) What is the expression of the force?

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.8P
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An engineer would like to create a formula to determine the force exerted by a river flow on
a bridge column. The figure of the problem is shown here in front and top views.
Front
view
18
|h
Water properties
V, P, μ
Top
view
of
This problems is similar but not the same of the exercise I solved in the class notes. Note
that there are more variables which may be relevant for this problem, such as the gravity g
and the flow depth h. Use the Buckingham Pi Theory to find an expression for the force F.
1) What popular non-dimensional numbers do you see?
2) What is the expression of the force?
Transcribed Image Text:An engineer would like to create a formula to determine the force exerted by a river flow on a bridge column. The figure of the problem is shown here in front and top views. Front view 18 |h Water properties V, P, μ Top view of This problems is similar but not the same of the exercise I solved in the class notes. Note that there are more variables which may be relevant for this problem, such as the gravity g and the flow depth h. Use the Buckingham Pi Theory to find an expression for the force F. 1) What popular non-dimensional numbers do you see? 2) What is the expression of the force?
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