Fluid Mechanics Lesson 11D: More Solutions of the Navier-Stokes Equation

Fluid Mechanics Lesson Series - Lesson 11D: More Solutions of the Navier-Stokes Equation. In this 14-minute video, Professor Cimbala shows the detailed step-by-step procedure for solving the continuity and Navier-Stokes equations for two more example problems: (1) Oil falling as a thin film on a vertical wall, using Cartesian coordinates, and (2) Flow in the gap between two concentric cylinders where the inner cylinder rotates and the outer cylinder is stationary, using cylindrical coordinates. In both cases, exact analytical solutions are obtained for laminar flow. This video incorporates material from Section 9-6 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... . If you liked this video, please subscribe to Dr. Cimbala's YouTube channel at    / @johncimbala   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:    • Fluid Mechanics Lesson Series - Video less...   Two-Minute Bible Videos:    • Two-Minute Bible Videos - Helping you unde...   Two-Minute Excel Tutorials:    • Two-Minute Excel Tutorials - Helping you u...   Two-Minute Fluid Mechanics:    • Two-Minute Fluid Mechanics - Helping you l...   Two-Minute Math and Statistics Videos:    • Two-Minute Math and Statistics Videos - He...   Two-Minute Science Videos:    • Two-Minute Science Videos - Helping you un...   Short Marshmallow Peep Videos:    • Short Marshmallow Peep Videos   Thirty-Second Engineering:    • Thirty Second Engineering   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    / @johncimbala