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.

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.

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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Question

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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