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# ~ homework_1 - Homework 1 Due at 2:30 pm in 3418C Patrick...

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Homework 1 Due 09/18/08 at 2:30 pm in 3418C Patrick Taylor (My office) Problem 1: Water at 20 C is flowing in a 100-mm diameter pipe at an average velocity of 2 m/s. If the diameter of the pipe is suddenly expanded to 150 mm, what is the new velocity in the pipe? What is the flowrate in the pipe? Problem 2: The velocity profile, v ( r ), for turbulent flow in smooth pipes is sometimes estimated by the seventh-root law, originally proposed by Blasius (1911): v ( r ) = V o 1 - r R 1 / 7 where V o is the maximum (centerline) velocity and R is the radius of the pipe. Calculate the average velocity and flowrate in the pipe. Problem 3: In the pipe system for a given discharge, the ratio of the head loss in a given length of 1 m pipe to the head loss in the same length of 2 m pipe is (a) 2, (b) 4, (c) 16, (d) 32. Problem 4: Water leaves a reservoir at 0.06 m 3 /s through a 200 mm riveted steel pipeline that pro- trudes into the reservoir and then immediately turns a 90 bend with a local (minor) loss coefficient equal to 0.3. Estimate the length of pipeline required for the friction losses to

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~ homework_1 - Homework 1 Due at 2:30 pm in 3418C Patrick...

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