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(a) Consider a stream of fluid of density p with speed v 1 , passing abruptly from a cylindrical pipe of cross-sectional area a 1 into a wider cylindrical pipe of cross-sectional area a 2 (see Fig. 16-37). The jet will mix with the surrounding fluid and, after the mixing, will flow on almost uniformly with an average speed v2. Without referring to the details of the mixing use momentum ideas to show that the increase in pressure due to the mixing is approximately (b) Show from Bernoulli’s equation that in a gradually widening pipe we would get (c) Find the loss of pressure due to the abrupt enlargement of the pipe. Can you draw an analogy with elastic and inelastic collisions in particle mechanics?

(a) Consider a stream of fluid of density p with speed v1, passing abruptly from a cylindrical pipe of cross-sectional area a1 into a wider cylindrical pipe of cross-sectional area a2 (see Fig. 16-37). The jet will mix with the surrounding fluid and, after the mixing, will flow on
almost uniformly with an average speed v2. Without referring to the details of the mixing use momentum ideas to show that the increase in pressure due to the mixing is approximately
(b)  Show from Bernoulli’s equation that in  a gradually widening pipe we would get
(c) Find the loss of pressure due to the abrupt enlargement of the pipe. Can you draw an analogy with elastic and inelastic collisions in particle mechanics?

Grade:11

1 Answers

Kevin Nash
askIITians Faculty 332 Points
8 years ago
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