• Learning Modules - Learning modules are short write-ups (similar to lecture notes) about various topics. These were written by Professor J. M. Cimbala at Penn State University.
• YouTube Videos - Lesson videos (10-15 minutes) and short videos (2-3 minutes) about Excel, Math, and Fluid Mechanics. These were created by Professor J. M. Cimbala at Penn State University.
• Other Websites - Links to websites which provide data and other information useful to students in this course. There were not written by Professor Cimbala. I apologize if the site address changes - this is beyond my control.
• Figures and Tables - Figures and Tables that are useful for this course, e.g., fluid properties.

Learning Modules - Background and Review Material

• Dimensions, Units, Conversion Factors, and Significant Digits - A general review of dimensions and units, and the different unit systems (English vs. Metric). This learning module is useful for any subject, not just fluid mechanics.
• The Ideal Gas Constant - A general review of the concepts of mol and molecular weight, and the two forms of the ideal gas constant: the universal gas constant and the specific gas constant.
• Some Useful Conversions, Equations, and Constants - Some conversion factors, especially for the troublesome variables such as pound-mass and pound-force, etc.
• Solutions of Ordinary Differential Equations - A general review of how to solve simple ordinary differential equations. This learning module is useful for any subject, not just fluid mechanics.
• Runge-Kutta technique - An Explanation of how the popular fourth-order Runge-Kutta marching technique works, along with the appropriate equations.

YouTube Videos: Reviews, Tutorials, and Lessons

• Dr. Cimbala's has dozens of educational videos on his YouTube channel. Subscribe to receive notifications of new videos.
• Dr. Cimbala created a spreadsheet with quick access links to his fluid mechanics videos: Excel spreadsheet with links to all videos relevant to fluid mechanics
• You can also watch all of Dr. Cimbala's videos in a category with one click by going to one of his YouTube Playlists:
  • Fluid Mechanics Lesson Series
  • Two-Minute Excel Tutorials
  • Two-Minute Fluid Mechanics
  • Two-Minute Math and Statistics Videos
  • Two-Minute Science Videos
  • Two-Minute Bible Videos
  • Short Marshmallow Peep Videos
  • Thirty-Second Engineering

Other Websites

• Compressible Aerodynamics Calculator - Handy calculator for compressible flow calculations.
• Standard Atmosphere Calculator - Get temperature, density, pressure, etc. for the standard atmosphere.
• An interactive Periodic Table of the Elements - You can click on an element and get its properties.
• Students are welcome to send other articles and videos to post here.

Figures and Tables

• Air properties table - Properties of air vs. temperature at one atmosphere pressure from Cengel and Cimbala fluid mechanics textbook.
• Compressible flow tables for air - Isentropic, Shock, Rayleigh, and Fanno tables and plots from Cengel and Cimbala fluid mechanics textbook.