Coordinate Transformations, Part 3: Transforming the continuity equation from cartesian to cylindrical coordinates.

1. What is a Fluid?
2. Introduction to Fluid Viscosity
3. Surface Tension and its Length Scale Dependence
4. The Young-Laplace Equation
5. Flow, Deformation, Strain and Strain Rates
6. Non-Newtonian Behavior: Shear Thinning, Shear Thickening, Bingham Plastic
7. Power Law Model of Shear Thinning Behavior
8. Velocity Gradients and Rates of Deformation
9. Introduction to Conservation of Mass
10. Differential Form of the Conservation of Mass
11. Differential Form of the Conservation of Mass II
12. Integral Form of the Conservation of Mass
13. Integral Form of the Conservation of Mass II
14. Transformation between Cartesian and Cylindrical Coordinates
15. Velocity Vectors in Cartesian and Cylindrical Coordinates
16. Continuity Equation in Cartesian and Cylindrical Coordinates
17. Introduction to Conservation of Momentum
18. Sum of Forces on a Fluid Element
19. Expression of Inflow and Outflow of Momentum
20. Cauchy Momentum Equations and the Navier-Stokes Equations
21. Non-dimensionalization of the Navier-Stokes Equations & The Reynolds Number
22. Solving Problems Using the Navier-Stokes Equations
23. Conservation of Mass and Momentum: Analysis of Flow Through a Pipe
24. Pressure Gradient Term in Pipe Flow
25. Velocity Profile and Volume Flow Rate in Pipe Flow
26. Introduction to Conservation of Energy & Bernoulli's Equation
27. Obtaining Bernoulli's Equation from Conservation of Energy
28. Kinetic Energy Correction Factor for Bernoulli's Equation
29. Viscous Loss Correction for Bernoulli's Equation in Pipe Flow
30. Macroscopic Momentum Balance to Obtain a Viscous Loss Correction for Bernoulli's Equation in Pipe Flow
31. Friction Factors Expressing the Viscous Loss Correction for Bernoulli's Equation in Pipe Flow

This video is part of a series of screencast lectures in 720p HD quality, presenting content from an undergraduate-level fluid mechanics course in the Artie McFerrin Department of Chemical Engineering at Texas A&M University (College Station, TX, USA).

From Prof. Ugaz:
My inspiration for producing this series of videos has been my lifelong personal journey to understand fluid mechanics and explain its beauty to others in a straightforward way. I have received no external support for this project... the effort is purely a labor of love.

I would like to acknowledge Aashish Priye and Jamison Chang for assistance in developing the materials and preparing the captioning.

Please feel free to share any comments or suggestions.

Best wishes,
Victor Ugaz