Fluid MechanicsHard

Question

A spherical solid ball of volume V is made of a material of density ρ1. It is falling through a liquid of density ρ2(ρ2 <ρ1). Assume that the liquid applies a viscous force on the ball that is proportional to the square of its speed v, i.e., Fviscous = - kv,2(k > 0). The terminal speed of the ball is

Options

A.
B.
C.
D.

Solution

ρ1Vg - ρ2Vg= kvT2
⇒     vT =

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