5.28 A simply supported beam of diameter D, length L, and modulus of elasticity E is subjected to a fluid crossflow of velocity V, density p, and viscosity u. Its center deflection ô is assumed to be a function of all these variables. (a) Rewrite this proposed function in dimensionless form. (b) Suppose it is known that ô is independent of u inversely proportional to E, and dependent only upon pV, not p and V separately. Simplify the dimensionless function accordingly.

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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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5.28 A simply supported beam of diameter D, length L, and modulus of elasticity E is subjected to
a fluid crossflow of velocity V, density e, and viscosity u. Its center deflection d is assumed to be a
function of all these variables. (a) Rewrite this proposed function in dimensionless form. (b) Suppose
it is known that ô is independent of u, inversely proportional to E, and dependent only upon pl, notp
and V separately. Simplify the dimensionless function accordingly.
Transcribed Image Text:5.28 A simply supported beam of diameter D, length L, and modulus of elasticity E is subjected to a fluid crossflow of velocity V, density e, and viscosity u. Its center deflection d is assumed to be a function of all these variables. (a) Rewrite this proposed function in dimensionless form. (b) Suppose it is known that ô is independent of u, inversely proportional to E, and dependent only upon pl, notp and V separately. Simplify the dimensionless function accordingly.
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