In Fluid Flow, the Character of the Flow Can Be

question 12

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