Question

02. Water at 25 °C is circulated from a large tank, through a filter, and back to the tank as shown in the figure below. The power added to the water by the pump is 271 W Determine the flow rate through the filter. In your solution, follow these steps: Summarize the problem by stating what is given and what needs to be determined State all your assumptions Show the control volume chosen and the two points at which the energy balance is applied 1 2- 3- 4- Analyze the problem and present the equations to be solved then solve to find the flowrate using the different approaches discussed in class i.e., different methods of calculating the Darcy friction factor and Swamee and Jain equations. Show your solution procedure in detail. 5- Which of the methods used is the most accurate? Calculate the error corresponding with each approach and comment on your results What wil be the flowrate if a plastic pipe is used instead of the commercial steel pipe? Discuss your results. Hint: Use the most accurate method for the plastic pipe 6- Note: You have to include the program written to solve the problem and the outputs that show the solutions using the different approaches. Miter bend-without vanes Gate valve-half closed Smooth bend-Threaded KLtiter 12.0 61m of 3-cm diameter commercial steel pipe Filter Pump Smooth bend-threaded

I need just CONTROL VOLUME & ASSUMPTIONS

Answer 1

Ans ) Following are the assumptions required in above problem :

1) The flow is steady which means fluid properties such as density ,velocity does not change with time.

   2) The flow is incompressible (which means density remains constant)

3) Viscosity of fluid remains constant

4) Change in pressure due to pumping is negligible

5) Heat transfer is negligible

Control Volume can be taken as the pipe volume between inlet and outlet including pump, filter, bends and valves.