The drag force, FD, on a sphere kept in a uniform flow field depends on the diameter of the sphere, D; flow velocity, V; fluid density, ρ; and dynamic viscosity, μ. Which of the following options represents the non-dimensional parameters which could be used to analyze this problem?

Question

TuteeHUB · Accepted Answer

$\frac{{{F_D}}}{{\rho {V^3}{D^3}}}$ and $\frac{\mu }{{\rho VD}}$

TuteeHUB · Answer

$\frac{{{F_D}}}{{{V_D}}}$ and $\frac{\mu }{{\rho VD}}$

TuteeHUB · Answer

$\frac{{{F_D}}}{{\rho V{D^2}}}$ and $\frac{{\rho VD}}{\mu }$

TuteeHUB · Answer

$\frac{{{F_D}}}{{\rho {V^2}{D^2}}}$ and $\frac{{\rho VD}}{\mu }$

1.	The drag force, FD, on a sphere kept in a uniform flow field depends on the diameter of the sphere, D; flow velocity, V; fluid density, ρ; and dynamic viscosity, μ. 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 \(\frac{\mu }{{\rho VD}}\)
B.	\(\frac{{{F_D}}}{{\rho V{D^2}}}\) and \(\frac{{\rho VD}}{\mu }\)
C.	\(\frac{{{F_D}}}{{\rho {V^2}{D^2}}}\) and \(\frac{{\rho VD}}{\mu }\)
D.	\(\frac{{{F_D}}}{{\rho {V^3}{D^3}}}\) and \(\frac{\mu }{{\rho VD}}\)
Answer» D. \(\frac{{{F_D}}}{{\rho {V^3}{D^3}}}\) and \(\frac{\mu }{{\rho VD}}\)

The drag force, FD, on a sphere kept in a uniform flow field depends on the diameter of the sphere, D; flow velocity, V; fluid density, ρ; and dynamic viscosity, μ. Which of the following options represents the non-dimensional parameters which could be used to analyze this problem?

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