Fluid Mechanics Lesson 07C: Method of Repeating Variables

Fluid Mechanics Lesson Series - Lesson 07C: Method of Repeating Variables
In this 16.5-minute video, Professor Cimbala explains the Method of Repeating Variables - the step-by-step procedure of dimensional analysis to determine the appropriate dimensionless parameters. He guides viewers through the procedure by working out an example problem in detail. Watch for the appearance by a very special guest!
This video incorporates material from Section 7-4 of the Fluid Mechanics textbook by Cengel and Cimbala.
An Excel file listing of all the videos in this series can be found at
www.me.psu.edu... .
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Dr. John M. Cimbala is Professor of Mechanical Engineering at Penn State. He is an educator, textbook author, Christian author, husband, father, and grandfather. He also created and maintains a website for helping people grow in their faith called Christian Faith Grower at www.christianf... His KZbin channel is at / @johncimbala

[@yanadh]

Your voice is so nice to listen to. Thank you for the video professor

[@johncimbala]

Ha! That's the first comment I have received about my voice. :) Thank you for your comment. Please tell your friends and colleagues about my KZbin channel where there are more than 400 free videos about the Bible, fluid mechanics, science, math, statistics, air pollution, and other topics. I would greatly appreciate it.

[@factswithsatish]

You are that one proffesor , who used to " that professor in youtube "

[@johncimbala]

I will take that as a compliment even though I am not sure I follow what you are saying. Thank you for your kind comment. Please tell your friends and colleagues about my KZbin channel where there are hundreds of free videos about the Bible, fluid mechanics, science, math, statistics, air pollution, and other topics. I would greatly appreciate it.

[@hananabdusemed503]

Thank you for such a helpful video! In what case would be prompted to subtract one from the reduction number (j)?

[@johncimbala]

When for example you predict zero PIs. That means that either you need another variable that you have not considered, or j should be reduced by one. This has happened to me in many cases.

[@johncimbala]

Thank you for your kind comment. Please tell your friends and colleagues about my KZbin channel so that others are aware of this free resource.

[@rushik3368]

nicely explained

[@johncimbala]

Thank you. Please share my KZbin channel with your friends and colleagues so that others can learn.

[@rushik3368]

@@johncimbala sure professor!!

[@arklanbk]

could you give an example for what happens when you do this wrong? thanks

[@johncimbala]

In most cases I have encountered, I know it is wrong when I predict zero PIs. That means either my choice of number of repeating variables is wrong or I am missing a variable. Either way, the procedure will not work out.

[@johncimbala]

See my first example in Lesson 07D where I do a case where the number of PIs is predicted to be zero.

[@factswithsatish]

Ok proffesor definitely i will do that may i know your university name

[@johncimbala]

Penn State University

[@Gabriel-nf3hu]

I believe an error was made in calculating variable b. it should b=2 not b=-2.

[@Gabriel-nf3hu]

***correction*** equation of exponents for PI1 was rewritten incorrectly(-b instead of +b) therefore exponent variable b does indeed equal -2. (b= -2)