a simply supported beam of diameter d, length l, and modulus of elasticity e is subjected to a fluid crossflow of velocity v, density , and viscosity . its center deflection is assumed to be a function of all these variables. (a) rewrite this proposed function in dimensionless form. (b) suppose it is known that is independent of , inversely proportional to e, and dependent only on v2 , not and v separately. simplify the dimensionless function accordingly. hint: take l, , and v as repeating variables