A horizontal circular jet of air strikes a stationary flat plate as indicated in

Question

A horizontal circular jet of air strikes a stationary flat plate as indicated in Fig. P5.65. The jet velocity is 34 m/s and the jet diameter is 30 mm. If the air velocity magnitude remains constant as the air flows over the plate surface in the directions shown, determine: (a) the magnitude of FA, the anchoring force required to hold the plate stationary; (b) the fraction of mass flow along the plate surface in 2 direction shown (f2) and (c) 3 direction shown (f3); (d) the magnitude of FA, the anchoring force required to allow the plate to move to the right at a constant speed of 10 m/s

. Assume air density of 1.23 kg/m3.

Explanation / Answer

here m1v1 =m2v2+m3v3 also m2v2=m3v3 as no force in direction of plate also m =AVp .. p is density hence v1^2 =2v2^2 v2 =v3 =24.04 fraction is half half and force ie force in normal direction is 1.23*3.14*0.015^2 * 34^2 sinn^2 30 =0.2511N

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