A simply supported beam of dlame D, length L, and modulus of elasticity Eis subjected to a fluid crossflow of velocity V, density p, and viscosity µ. Its center deflection 6 is assumed to be a function of all these variables. (a) Rewrite this proposed function in dimensionless form, (b) Suppose it is known that 6 is independent of µ, inversely proportional to E, and dependent only on pV2, not p and V separately. Simplify the dimensionless function accordingly. Hint: Take L, p, and Vas repeating variables,

A simply supported beam of dlame D, length L, and modulus of elasticity Eis subjected to a fluid crossflow of velocity V, density p, and viscosity µ. Its center deflection 6 is assumed to be a function of all these variables. (a) Rewrite this proposed function in dimensionless form, (b) Suppose it is known that 6 is independent of µ, inversely proportional to E, and dependent only on pV2, not p and V separately. Simplify the dimensionless function accordingly. Hint: Take L, p, and Vas repeating variables,

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 5.9P: When a sphere falls freely through a homogeneous fluid, it reaches a terminal velocity at which the...

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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.
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