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A simply supported beam of diameter D , length L , and modulusof elasticity E is subjected to a fluid crossflow of velocityV , density ρ , and viscosity μ . Its center deflection δ isassumed to be a function of all these variables. ( a ) Rewritethis proposed function in dimensionless form. ( b ) Suppose itis known that δ is independent of μ , inversely proportionalto E , and dependent only on ρ V 2 , not ρ and V separately.Simplify the dimensionless function accordingly. Hint:Take L , ρ , and V as r e peating variables.

A simply supported beam of diameter D , length L , and modulusof elasticity E is subjected to a fluid crossflow of velocityV , density ρ , and viscosity μ . Its center deflection δ isassumed to be a function of all these variables. ( a ) Rewritethis proposed function in dimensionless form. ( b ) Suppose itis known that δ is independent of μ , inversely proportionalto E , and dependent only on ρ V 2 , not ρ and V separately.Simplify the dimensionless function accordingly. Hint:Take L , ρ , and V as r e peating variables.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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A simply supported beam of diameter D , length L , and modulus
of elasticity E is subjected to a fluid crossflow of velocity
V , density ρ , and viscosity μ . Its center deflection δ is
assumed to be a function of all these variables. ( a ) Rewrite
this proposed function in dimensionless form. ( b ) Suppose it
is known that δ is independent of μ , inversely proportional
to E , and dependent only on ρ V 2 , not ρ and V separately.
Simplify the dimensionless function accordingly. Hint:
Take L , ρ , and V as r e peating variables.

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