Unit

Non-Circular Channels

In this video series you will learn how to work with multi-dimensional flow problems using separation of variables. In particular, we will go over how to solve for the velocity profile in a square channel.

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5 Lessons

Watch Introduction

Lessons

Non-Circular Channels

1. Non-Circular Channels - Governing Equations (11 min)

2. Separation of Variables - Rendering the Equation Homogeneous (10 min)

3. Separation of Variables: Solving for the Homogeneous Solution (12 min)

4. Separation of Variable: Eigenvalues and Eigenfunctions (5 min)

5. Separation of Variables: The Fourier Expansion (8 min)

1. Non-Circular Channels - Governing Equations (11 min)

2. Separation of Variables - Rendering the Equation Homogeneous (10 min)

3. Separation of Variables: Solving for the Homogeneous Solution (12 min)

4. Separation of Variable: Eigenvalues and Eigenfunctions (5 min)

5. Separation of Variables: The Fourier Expansion (8 min)

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