A simply supported beam of diameter D, length L, and modulus of elasticity E is subjected to a fluid cross flow 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 upon ρV 2, not ρ and V separately. Simplify the dimensionless function accordingly.