Example 1: Water flows through a 200-mm diameter watermain. Over a 500-m length, thehydraulic gradient line falls 10 m. The absolute roughness of the watermain is 0.20 mm. Thekinematic viscosity of water is 1.141 x 10°m²s¹. Determine the flow rate.

Given:The diameter of the water main, The length of the water main, The falling in the hydraulic…

Answered: Example 1: Water flows through a 200-mm…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Q.10. The flow net below represents air flowing over a small hill. 1.8m .d 1.5m 1.2m 0.9m • a 2m At the inlet, the streamlines are evenly spaced 2 m apart, and the air flow is a uniform 3 m/s. a. Taking the ground to be = 0 m²/s, what are the values of the streamlines A-C? b. Find the air flow speed, and the corresponding gauge pressure, at each of the points a-d at the crest of the hill. c. The stream and potential lines have been drawn to be approximately square. As- suming this to be the case, what is the value of the potential drop Aø1 and A¢2.
Problem 5: Pipe Flow A 10,000 ft P BC 20,000 ft D This semester we worked through several versions of the pipe flow problem sketched above, in which a 3.0 ft diameter pipe is used to convey water from reservoir A (surface elevation 80 ft) to reservoir D (surface elevation 90 ft). In week 14, we considered a specific example with a cast iron pipe (A = 0.00085 ft), flow rate of Q=40 ft³/s, and average velocity of V = 5.66 ft/s. For these conditions, the friction factor was λ = 0.015 and the pump added 86 ft of head. Assume the water temperature is always 60°F. Part A Assuming the pump is 75% efficient and electricity costs 10e/kW.hr, how much will it cost to run this pump for a year? Hint, 1 kW hr = (1000 watts) (1 hr) = (1000 J/s)(3600 s) = 3.6x106 J. Part B Now let us assume we need to double the discharge to Q = 80 ft³/s, but unlike the example in week 13, we are not going to make the false assumption that the friction factor λ is constant. You may, however, assume that the roughness…

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Example 1: Water flows through a 200-mm diameter watermain. Over a 500-m length, the hydraulic gradient line falls 10 m. The absolute roughness of the watermain is 0.20 mm. The kinematic viscosity of water is 1.141 x 10 m²s¹. Determine the flow rate.