In Fluid Flow, the Character of the Flow Can Be

Multiple Choice

In fluid flow, the character of the flow can be determined by the Reynolds number, Re, which is a dimensionless quantity that can be expressed in terms of the speed v of the fluid, the density ρ (mass per unit volume) of the fluid, the viscosity η of the fluid, and a length D which is characteristic to the flow. Re can be expressed in the form Re = kvη^aρ^bD^c, where k, a, b, and c are dimensionless constants. What must be the values of b, c, and d? The dimensions of viscosity are [M]/[L][T].

A) b = 1, c = -1, d = 1
B) b = 1, c = -1, d = -1
C) b = -1, c = 1, d = 1
D) b = -1, c = 1, d = -1
E) b = -1, c = -1, d = 1