MATH3620 Fluid Dynamics II

Chapter 1: Mathematical Tools

Lecture notes

Example sheets: questions, solutions

Index notation: video, notes 1/3, notes 2/3, notes 3/3

The continuum hypothesis: video, notes

The velocity gradient: video, notes 1/2, notes 2/2

Mass conservation: video, notes 1/2, notes 2/2

Chapter 2: The Navier–Stokes Equation

Lecture notes

Example sheets: questions, solutions

The Navier–Stokes equation: video, notes 1/4, notes 2/4, notes 3/4, notes 4/4

Different kinds of pressures: video, notes

Boundary conditions: video, notes 1/2, notes 2/2

The Reynolds number: video, notes

Plane Poiseuille flow: video, notes 1/2, notes 2/2

Flow down an inclined plane: video, notes 1/3, notes 2/3, notes 3/3

Chapter 3: Stokes Flows

Lecture notes

Example sheets: questions, solutions

Translating sphere: video, notes 1/4, notes 2/4, notes 3/4, notes 4/4

Slider bearing flow: video, notes 1/4, notes 2/4, notes 3/4, notes 4/4

Fluid expulsion between a cylinder and a wall: video, notes 1/3, notes 2/3, notes 3/3

Hele-Shaw flows: video, notes 1/3, notes 2/3, notes 3/3

Chapter 4: Boundary Layers

Lecture notes

Example sheets: questions, solutions

Stokes first problem: video, notes 1/2, notes 2/2

Plane Couette flow startup: video, notes 1/3, notes 2/3, notes 3/3

The vorticity equation: video, notes 1/2, notes 2/2

The Blasius boundary layer: video, notes 1/4, notes 2/4, notes 3/4, notes 4/4

Chapter 5: Potential Flows

Lecture notes

Example sheets: questions, solutions

The Bernoulli equation: video, notes 1/2, notes 2/2

Two-dimensional potential flows: video, notes

The complex potential: video, notes 1/2, notes 2/2

The method of images: video, notes 1/2, notes 2/2

The Milne-Thompson circle theorem: video, notes

Conformal mapping: video, notes

Chapter 6: Waves

Lecture notes

Additional Documents

Formula sheet