A small aluminum ball with D 5 2 mm and rs 5 2700 kg/m3 is dropped into a large
Chapter 11, Problem 11-114(choose chapter or problem)
A small aluminum ball with D 5 2 mm and rs 5 2700 kg/m3 is dropped into a large container filled with oil at 408C (rf 5 876 kg/m3 and m 5 0.2177 kg/ms). The Reynolds number is expected to be low and thus Stokes law for drag force FD 5 3pmDV to be applicable. Show that the variation of velocity with time can be expressed as V 5 (a/b) (1 2 e2bt ) where a 5 g(1 2 rf /rs) and b 5 18m/(rsD2 ). Plot the variation of velocity with time, and calculate the time it takes for the ball to reach 99 percent of its terminal velocity.
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