Question
Note: Everyone should submit a design. I consider this much more important that a normal homework assignment, as per the syllabus. Use this as the cover for your design and submit it separately from the other HW. Given: A professor has asked you to design a steady flow system to provide water at room temperature to a test section which simulates part of a vessel, as schematically depicted below: Because the system attempts to simulate blood flow, a water/Xanthan gum solution (mu = 0.0032 kg/(msec), rho = 1050 kg/m3) is used to simulate blood properties. You would like to get the most flow possible, given the limitations of the facility, because the flow can always be reduced by a pinch clamp or closing the valve slightly, but would like to have at least 2 times 10-5 m3/s. To keep flow fluctuations to a minimum, a feed reservoir of 50 L volume is specified. Your design must determine either by choice or computation: Height difference between feed and return reservoirs. This is related to the lab space available. This is something chosen based on that, not computed. The flow rate through the system. Diameter and length of tubing from feed reservoir to test section, and same for return tubing. Tubing must be standard size(s) of clear, flexible, plastic tubing, also available at U.S. Plastics. This is better to be chosen as well, within limits. Shape/size of the feed reservoir. Use an available size tank. A catalog (U.S. Plastics) is available online at www.usplastic.com. Return reservoir is your choice. Minimum pump power. Include tubing losses, "minor" losses (see below) and pumping height. Assume the test section loss is given by: hl, ts = K1 mu V / rho g d + K2 V2 / 2g where K1 = 2500 and K2 =3.2 and are dimensionless constants and d is the inlet diameter of the test section, which you can take as the same diameter as the inlet tubing, which of course, you are to determine. In the above expression, V is the average velocity and rho, mu and d are density, viscosity, and gravity, respectively. Make any other assumptions you need in order to complete your design, but do include tubing losses for laminar flow given by hl, tubing = 32 mu V l / rho g d2 where l and d are length and diameter of the tubing. Verify that laminar flow exists in the tubing from the feed reservoir to the test section, i.e., R ed
Explanation / Answer
posting this question in physics/advanced physics section would fetch you better answers...better try posting there
