F11FL - Fluid Mechanics

The aim of this course is to derive mathematical models for fluid motion and to use them for the explanation of natural phenomena.

1. Fluid Flow

2. The Transport Theorem

3. Deformation, Vorticity and General Coordinate Systems

4. Ideal Fluids and Euler Equations

5. Bernoulli's Theorem and the Froude Number

6. Potential Flow and D'Alembert's Paradox

7. Navier-Stokes Flow

8. Evolution of Vorticity and Interpretation of Navier–Stokes Flows

9. Reynolds Number and Stokes Flow

10. A more advanced topic

By the end of the course, students should be able to do the following:

Explain and use the fundamental physical assumptions behind Fluid Dynamics
Prove and apply the Transport Theorem
Derive, apply and solve the Euler and Navier Stokes equations in a range of geometries
Formulate and measure the concept of vorticity
Define, interpret and use the Reynolds number
Derive the equation for Stokes flow and be able to compute viscous drag
Use the knowledge and skills aquired to study, analyse and apply a more advanced topic

Further details

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SCQF Level: 11

Credits: 15