Civil Engineering MCQAE Level Civil Engineering

Stokes law gives the drag force on a sphere falling slowly through a viscous fluid as:

Fluid MechanicsStokes LawMEDIUM

Choose the correct answer

A

F_D = 6 pi mu r V

B

F_D = 0.5 Cd rho A V^2

C

F_D = rho V^2 r

D

F_D = 12 pi mu r V

Correct Answer

A. F_D = 6 pi mu r V

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Stokes law: F_D = 6 pi mu r V (valid for Re < 0.5, creeping flow). This is used to derive the terminal velocity of settling particles: V_t = 2r^2(rho_s - rho)g / (9 mu). Used in hydrometer analysis of fine soils.

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