The figure below shows a fluid flow system that is designed to pump water at 20C from a lower vented reservoir to an elevated vented tank. Note that the drawing is not to scale as the dimensions of the reservoirs are very large relative to those of the piping system. The suction line entering the pump is specified as 20m of 31y" schedule 40 commercial steel pipe; the discharge line from the pump is 180m of 212 schedule 40 commercial steel pipe. a. Starting from the Bernoulli equation (in 'head' form) for the situation where the liquid levels in the two reservoirs are reference points 1 and 2 , derive the correct equation for pump head Hsump(m) in terms of volumetric flow rate Q(m3/s) and other process variables (e.g. z,f,L,D,K). b. Using Excel (or another suitable program), create a nice plot of Hpumo(m) versus Q(m3/s), i.e. the 'system curve'; set your x-axis scale to range from 0 to 0.026m3/s. c. Now consider the situation where the pump needs to be replaced. You call up your favourite pump supplier who recommends a particular pump with the pump performance figure shown below. Sketch the 'system demand' curve for the fluid flow system on the pump performance curve shown below (NOTE that the same five available impellers (i.e. 6,6.75,7.5,8.25,9) should the supplier install if the system must achieve a volumetric flow rate of 0.020m3/s. d. For the impeller that you choose in part c, what would be the actual flow rate (m3/s) of water that would be achieved when installed in the system as shown above? Propose a reasonable strategy that could be used to transition the 'operating point' (also referred to as 'duty point') to achieve the desired water flow rate of 0.020m3/s The figure below shows a fluid flow system that is designed to pump water at 20C from a lower vented reservoir to an elevated vented tank. Note that the drawing is not to scale as the dimensions of the reservoirs are very large relative to those of the piping system. The suction line entering the pump is specified as 20m of 31y" schedule 40 commercial steel pipe; the discharge line from the pump is 180m of 212 schedule 40 commercial steel pipe. a. Starting from the Bernoulli equation (in 'head' form) for the situation where the liquid levels in the two reservoirs are reference points 1 and 2 , derive the correct equation for pump head Hsump(m) in terms of volumetric flow rate Q(m3/s) and other process variables (e.g. z,f,L,D,K). b. Using Excel (or another suitable program), create a nice plot of Hpumo(m) versus Q(m3/s), i.e. the 'system curve'; set your x-axis scale to range from 0 to 0.026m3/s. c. Now consider the situation where the pump needs to be replaced. You call up your favourite pump supplier who recommends a particular pump with the pump performance figure shown below. Sketch the 'system demand' curve for the fluid flow system on the pump performance curve shown below (NOTE that the same five available impellers (i.e. 6,6.75,7.5,8.25,9) should the supplier install if the system must achieve a volumetric flow rate of 0.020m3/s. d. For the impeller that you choose in part c, what would be the actual flow rate (m3/s) of water that would be achieved when installed in the system as shown above? Propose a reasonable strategy that could be used to transition the 'operating point' (also referred to as 'duty point') to achieve the desired water flow rate of 0.020m3/s
