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(Solved): QUESTION 4: Flow Past Immersed Eiodies (25 points) One of the popular demonstrations in science muse ...
QUESTION 4: Flow Past Immersed Eiodies (25 points) One of the popular demonstrations in science museums involves the suspension of a ping-pong ball by an upward air jet as shown in figure (a). Children are amused by the ball always coming back to the center when it is pushed by a finger to the side of the jet. The ball has a mass of 3.1 g and a diameter of 4.2 cm . Assume the air has a density of
1.184k(g)/(m^(3))and : kinematic viscosity
\sqrt(V)=1.562\times 10^(-5)(m^(2))/(s). The variation of the drag coefficient
C_(D)of the smooth sphere ball ivith respect to Reynolds number Re is shown in figure (b). a) Show that the relationship between the air velocity
Vand the drag coefficient
C_(D)is:
V=(6.044)/(\sqrt(C_(D)))(10points) b) Calculate the air velocity
Vin
(m)/(s). (15 points) (b)
