A pipeline is installed to transport a red mud slurry from an open tank in an alumina plant to a disposal pond. The line is 5- in schedule 80 commercial steel, 12,000 ft long and is designed to transport the slurry at a rate of 300 gpm. The slurry properties are that of a Bingham plastic with a yield stress of 15 dyne/cm2, a limiting viscosity of 20 cP and a specific gravity of 1.3. Fittings can be neglected.

a. What delivered pump head and horsepower would be required to pump the mud.

b. What would be the required pump head and horsepower to pump water at the same rate through the same pipeline.

c. Choose a Goulds 3196 pump that could be used for both flow scenarios. What would be the proper impeller size and motor horsepower for each scenario?