At a sudden contraction in a pipe the diameter changes from D1 to D2. The pressure drop, Δp, which develops across the contracti
on is a function of D1 and D2 as well as the velocity, V, in the larger pipe, and the fluid density, rho, and viscosity, μ. Use D1, V, and μ as repeating variables to determine a suitable set of dimensionless parameters. Find how many pi terms are required to describe this problem. Why would it be incorrect to include the velocity in the smaller pipe as an additional variable?
1 answer:
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Answer:
(a) Magnitude is 1039 km
(b) Direction of the displacement is South of East
(c) Average velocity magnitude is 570.88 km
(d) The direction of average velocity is South of East
(e) Average speed is 759.34 km/h
Solution:
Distance moved from A to B in East direction,
Distance moved from B to C in South direction,
Time taken to move from A to B, t = 43.0 min = 0.72 h
Time taken to move from B to C, t' = 1.10 h
Now,
(a) The magnitude of displacement of the plane is provided by AC as shown in fig 1 and can be given as:
= 1039 km
(b) Direction of the displacement is given by:
South of East
(c) Magnitude of the average speed is given by:
(d) The direction of the average velocity is the same as that of the displacement, i.e., South of East.
(e) The average speed of the [plane is given by:
