Question

P1-P2 = .7734 rho*u1^2 !!!!!!

1. (4 points) The inlet of a two-dimensional duct, shown below, is of width b and contains frictionless fluid of constant density p. The velocity in one half of the duct is Ui and the other half is 0.5U1. The two streams do not mix. The outlet of the duct is of width 0.5b. The flow is parallel at the duct entrance and exit, so that the pressure is uniform across the two sections. By using the continuity equation and Bernoulli's equation, determine the pressure change p - P2 along the duct contraction and the individual dimensions bi and b2 of the two streams at the exit section a

Answer 1

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Вu d.5U 05Ь 65ь. ot iniet Avoroge uld Velely , Сo5ь) - Vag b 0.5U, (o.5b) (Dag Avenege ud Velodty Vong, (Vo 0.75 U at exH Сlavg 2, Cosъ) Ь в -5 U lolet ond exit. пррying bernoulrii oquotion at PL (154- с 75и, 2. Ans 0.8437 SU, прying bemoulig n o wррeл sесten. P-P2 0- Очз78 0, (0-5U,) V, -39 U Пыying bemeulнй egm tn Lown Sectorm. U 28 гт

о. 0. 8ч37807 О I.639 U exit Inlet and Aррgng Contioud y egn af (osysto5) + мtо sъ) - 139ь, лья е) 1-396 +1-639Ь, 0-75 Ь Gven Noco, ь, th, 0-5Ь 2 й Solving eg and 0.75 Ь -39 b, -639 b2 0-5 Ь Ьz 0-75 Ь. 39ь, +1-639ь, - 0-695Ь - 1gь, t 139ь, в 0.055Ь ь, An and, (05-0.22) в ь, 0.9ъ-b, b, - 0.28 ь. Aw