The drag force, $F_{D,}$ on a sphere kept in a uniform flow field depends on the diameter of the sphere, $D$; flow velocity, $V$; fluid density, $\rho$; and dynamic viscosity, $\mu .$ Which of the following options represents the non-dimensional parameters which could be used to analyze this problem?
(A) $\frac{F_{D}}{V D}$ and $\frac{\mu}{\rho V D}$
(B) $\frac{F_{D}}{\rho V D^{2}}$ and $\frac{\rho V D}{\mu}$
(C) $\frac{F_{D}}{\rho V^{2} D^{2}}$ and$\frac{\rho V D}{\mu} \quad$

(D) $\quad \frac{F_{D}}{\rho V^{3} D^{3}} \quad$ and $\quad \frac{\mu}{\rho V D}$

Question ID - 156132 | SaraNextGen Top Answer

The drag force, $F_{D,}$ on a sphere kept in a uniform flow field depends on the diameter of the sphere, $D$; flow velocity, $V$; fluid density, $\rho$; and dynamic viscosity, $\mu .$ Which of the following options represents the non-dimensional parameters which could be used to analyze this problem?
(A) $\frac{F_{D}}{V D}$ and $\frac{\mu}{\rho V D}$
(B) $\frac{F_{D}}{\rho V D^{2}}$ and $\frac{\rho V D}{\mu}$
(C) $\frac{F_{D}}{\rho V^{2} D^{2}}$ and$\frac{\rho V D}{\mu} \quad$

(D) $\quad \frac{F_{D}}{\rho V^{3} D^{3}} \quad$ and $\quad \frac{\mu}{\rho V D}$