Answered step by step
Verified Expert Solution
Question
1 Approved Answer
Problem 2 When the relevant dimensionless groups are maintained constant, dimensional analysis can tell us the proper way to interpret the results of scaled -
Problem
"When the relevant dimensionless groups are maintained constant, dimensional analysis can tell us the proper way to interpret the results of scaledup or scaleddown experiments."
Consider that a sophomore biomedical engineering student is interested in designing an artificial kidney but was told to figure out first the type of drag experienced by flowing blood in an artery. The student has decided to evaluate the drag coefficient for blood flowing through an artery using a scale model heshe built in hisher home garage. The real artery call it prototype would maintain the same dimensionless quantity called Reynold's number used to characterize flows including flows through arteries as the model built by the student. Based on the last statement, the Reynolds number for the student artery model will be related to the real prototype p artery as:
where is the fluid viscosity, is the density of the fluid, is the fluid velocity and is the characteristic length of the artery. Note subscript stands for model while is for the real or prototype artery.
a If what are the choices the student has for the model?
b Which if any of those choices above would not make practical sense to implement? Explain
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started