Water flows through a pipe as shown in the figure the...

Water flows through a pipe as shown in the figure. The pressure at points 1 and 2 respectively is 1.80 105 Pa and 1.10 105 Pa. The radius of the pipe at points 1 and 2 respectively is 3.20 cm and 1.20 cm. If the vertical distance between points 1 and 2 is 2.75 m, determine the following. (a) speed of flow at point 1 (b) speed of flow at point 2 (c) volume flow rate of the fluid through the pipe

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Transcript

00:01 High.

00:02 Here in this given problem, this is the pipe through which the water is flowing.

00:10 Its area of cross -section is going on reducing and its height is going on increasing.

00:17 Height above the ground.

00:23 Its right end is at a height h relative to the left end.

00:32 Here pressure p1 here the pressure p2, radius r1 here and radius is r2 here.

00:44 These values are p1 is equal to 1 .80 into 10 x to the power 5 possible.

00:51 R1 is 3 .20 centimeter.

00:57 Then p2, this is 1 .10 into 10 dash to the power 5 pascal and r2 here, this is 1 .20 this height of the right end relative to the left end is 2 .75 meters.

01:22 In the first part of the problem we have to find velocity of the water flow v1.

01:28 This is v1 here at the left end.

01:31 It will be v2 here at the right end.

01:33 So first of all, in the first part of the problem, first of all using equation of continuity at the left end and at the right end.

01:55 It says product of area of cross -section with the velocity remains constant.

02:02 And throughout the pipe.

02:04 So a1 v1 will be equal to a2 v2.

02:06 Means this is for a 1, pi r1 square into v1 is equal to pi r2 square into v2...

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