Fluid Mechanics Lesson 12A: Nondimensionalization of the Equations of Fluid Flow

Fluid Mechanics Lesson Series - Lesson 12A: Nondimensionalization of the Equations of Fluid Flow. In this 14.5-minute video, Professor Cimbala shows how to nondimensionalize the equations of fluid motion - the continuity and Navier-Stokes equations. Furthermore, he explains the difference between nondimensionalized and normalized. For the latter, we can directly compare the orders of magnitude of various terms in the Navier-Stokes equation, eliminate negligible terms, and thus form approximate equations which are easier to solve than the full Navier-Stokes equation. This video incorporates material from Sections 10-1 to 10-2 of the Fluid Mechanics textbook by Cengel and Cimbala, edition 4. An Excel file listing of all the videos in this series, along with the annotated notes generated during filming of the videos, can be found at https://www.me.psu.edu/cimbala/Cengel_Cimbala_book/Supplements/List_Fluid_Mechanics_Lesson_Videos_for_CC_Book.xlsx . If you liked this video, please subscribe to Dr. Cimbala's YouTube channel at https://youtube.com/channel/UCUffeN-73BsKWC_jzAbg7eA to be informed when new videos are posted. You can also watch all related short videos with one click by going to one of Dr. Cimbala's playlists: Fluid Mechanics Lesson Series: https://www.youtube.com/playlist?list=PLQR3QcO-W5he1X1GHd_IutnslXcr4mIh8 Two-Minute Bible Videos: https://www.youtube.com/playlist?list=PLQR3QcO-W5hdDrW3oQ1QJvzXXxjytkl7W Two-Minute Excel Tutorials: https://www.youtube.com/playlist?list=PLQR3QcO-W5hdABQTyVT3ABqZ0oRbsDCX4 Two-Minute Fluid Mechanics: https://www.youtube.com/playlist?list=PLQR3QcO-W5hef1CQHaVG9XTj7Qp5w_pUB Two-Minute Math and Statistics Videos: https://www.youtube.com/playlist?list=PLQR3QcO-W5heTYe9iE-fZaDkpLg-oh1_m Two-Minute Science Videos: https://www.youtube.com/playlist?list=PLQR3QcO-W5hfOB4u_zqdnduOBMR0YiNVW Short Marshmallow Peep Videos: https://www.youtube.com/playlist?list=PLQR3QcO-W5hdbikMCdhFdIcvbgnfnAhM6 Thirty-Second Engineering: https://www.youtube.com/playlist?list=PLQR3QcO-W5hc20iCr1flqdVYxWJrVG5Ww 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 https://www.christianfaithgrower.com/ His YouTube channel is at https://youtube.com/channel/UCUffeN-73BsKWC_jzAbg7eA