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Water flows from a large 4m detention basin (100m by 50m) along a 200mm diameter pipe for a distance of 100m at a slope...

Water flows from a large 4m detention basin (100m by 50m) along a 200mm diameter pipe for a distance of 100m at a slope of 1:

Water flows from a large 4m detention basin (100m by 50m) along a 200mm diameter pipe for a distance of 100m at a slope of 1:200. The pipe centerline is 300mm above the base of the basin and it drains freely to a nearby channel. Calculate the steady flow rate if (a) the flow is assumed ideal, (b) the pipe is considered smooth for the purposes of the Moody Diagram (c) the pipe has a relative roughness of 0.006 (d) the time to empty the basin for case (c)
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In this solution some basic concepts and formulas of Fluid Mechanics are used. For more information, refer to any standard textbook or drop a comment below. Please give a Thumbs Up, if solution is helpful.

Solution :

below for eferen Co Conley e schemai H 0-3m Now eue huipnt (th) (hiqhtef Vo tcol dustan co bipe Slope, is O 5 w . tu heiq H)

Now in Cale o f Smosth pipes nere o oul od be Cffe fricton Lossel n fue Maulable CA amd hawe, Reyno(d nunher ai, we e l0004g

flow rate Men ce would be AXU mlsec O1135 13. SG C Now for Relatiu Rouphney o f hare qain factor and Hen ce tue rcHon log -1

amd again rowe CNNR cwoulg et 3-545 m/s fe frow rate Men ce O 3 1il 3 re pec Now tfo fal Vone in the balic 3 )X fue fi Hen ce

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