Course content

In the first 8-10 lectures the students will learn: the fundamental principles of inviscid, incompressible two-dimensional flow (in cartesian and rotational reference frames), irrotational flow, vorticity, velocity potentials, streamfunctions, streamlines, and how to build flows using classical potential flow solutions to Laplace’s equation. Finally the line vortex, and flow around cylinder with circulation will be presented to give students the basic principles of “lift”.

During the rest of the course, students will be introduced to one-dimensional compressible flow through the nozzles and pipes. Topics covered will include: critical states, choked flow, normal shocks, Fanno flow, Rayleigh flow finishing with two-dimensional compressible flow and oblique shocks. The final part of the course will consider fundamentals of flow in open channels including critical flow and the hydraulic jump.

Learning outcome

Learning outcomes
The course provides the student with knowledge about:
- Inviscid potential flows around bodies
- High speed compressible flows through nozzles and pipes
- Choked flow and shocks
- Open channel flow
- Hydraulic jumps

Skills:
The course will enable the student to:
- Derive and understand the equations of motion for compressible and incompressible inviscid flows, use important non-dimensional groups
- Calculate potential flow solutions
- Calculate compressible flows in ducts and nozzles
- Calculate flows with shocks with and without losses
- Calculate the flow in open channels
- Calculate losses associated with hydraulic jumps

General competence:
The first part of the course will give the student general knowledge about inviscid incompressible flows and will be able to analytically construct simple flows using potential flow theory. They will gain an understanding of the use and limitations of potential theory.
The second part of the course will give the student general knowledge of gas dynamics and open channel flows. They will be able to calculate flows for a wide range of conditions of practical importance and understand the use and limitations of 1D and 2D compressible flows and open channel fow.

Learning methods and activities

Lectures, self study and exercises, half of which must be accepted in order to be able to take the exam. The lectures and exercises are in English.

Compulsory assignments

• Exercises

Recommended previous knowledge

Knowledge corresponding to TEP4100 Fluid Mechanics.

Course materials

The primary course material will be written lecture notes.

Most fluid mechanics text books have chapters devoted to incompressible flow, compressible flow, and open channel flow.

Some recommended texts are:

- Y. A. Çengel and J. M. Cimbala, Fluid Mechanics: Fundamentals and Applications
- F. White, Fluid Mechanics
- J. Anderson, Fundamentals of Aerodynamics

Credit reductions