please answer the question above.? To assure that there will be no settling of s

Question

please answer the question above.?

To assure that there will be no settling of sewage waste, a minimum velocity of 10 ft/s is required in pipe 1 (See Figure 1). 1. Determine the diameter of this pipe 1. 2. Create a 3D SOLIDWORKS drawing of the pipe system. (Use the mass conservation principle to solve your problem, i.e. Qinlet = Qexit, where Q is the mass flow rate calculated as Q = AV, where A is the cross-sectional area and V is the velocity. You can ignore the flanges and you might have to assume the radius of the bends; Also assume that pipe 1 is at an angle of 45 degree.)

Explanation / Answer

The mass conservation principle dictates that the mass in has to equal mass out. We can also assume that the sewage waste is a liquid. Liquids can typically be considered incompressible, meaning the density of the liquid remains the same regardless of pressure.

These two principles mean the mass continuity would be equivalently measured by the volume continuity. Volume in must equal volume out.   

Volume in = 6"^2 * Pi * 5 ft/s

Volume out = 3"^2 * Pi * 2 ft/s + X"^2* Pi * 10 ft/s

Equating these gives us that X^2 = (180-18)/10

X = 4.025" = Radius of Pipe

The diameter is then twice that, or a 8.05" diameter.

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