Lecture Description
Coordinate Transformations, Part 3: Transforming the continuity equation from cartesian to cylindrical coordinates.
Course Index
- What is a Fluid?
- Introduction to Fluid Viscosity
- Surface Tension and its Length Scale Dependence
- The Young-Laplace Equation
- Flow, Deformation, Strain and Strain Rates
- Non-Newtonian Behavior: Shear Thinning, Shear Thickening, Bingham Plastic
- Power Law Model of Shear Thinning Behavior
- Velocity Gradients and Rates of Deformation
- Introduction to Conservation of Mass
- Differential Form of the Conservation of Mass
- Differential Form of the Conservation of Mass II
- Integral Form of the Conservation of Mass
- Integral Form of the Conservation of Mass II
- Transformation between Cartesian and Cylindrical Coordinates
- Velocity Vectors in Cartesian and Cylindrical Coordinates
- Continuity Equation in Cartesian and Cylindrical Coordinates
- Introduction to Conservation of Momentum
- Sum of Forces on a Fluid Element
- Expression of Inflow and Outflow of Momentum
- Cauchy Momentum Equations and the Navier-Stokes Equations
- Non-dimensionalization of the Navier-Stokes Equations & The Reynolds Number
- Solving Problems Using the Navier-Stokes Equations
- Conservation of Mass and Momentum: Analysis of Flow Through a Pipe
- Pressure Gradient Term in Pipe Flow
- Velocity Profile and Volume Flow Rate in Pipe Flow
- Introduction to Conservation of Energy & Bernoulli's Equation
- Obtaining Bernoulli's Equation from Conservation of Energy
- Kinetic Energy Correction Factor for Bernoulli's Equation
- Viscous Loss Correction for Bernoulli's Equation in Pipe Flow
- Macroscopic Momentum Balance to Obtain a Viscous Loss Correction for Bernoulli's Equation in Pipe Flow
- Friction Factors Expressing the Viscous Loss Correction for Bernoulli's Equation in Pipe Flow
Course Description
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