The exercises will practise the lecture topics:

• Curvilinear coordinates and tensor calculus
• Potential flow theory
• Boundary-layer theory
• Laminar-turbulent transition (linear stability theory)
• Turbulent flows
• Numerical solution of the governing equation (finite difference methods)

Media:

chalk board, Power Point

Kundu, P.K., Cohen, K.M.: Fluid Mechanics, Elsevier, 4th Edition, 2008

Batchelor, G.K.: An Introduction to Fluid Dynamics, Cambridge

Mathematical Library, 2000

Boiko, A. V., Grek, G. R., Dovgal, A. V., Kozlov, V. V.: The Origin of Turbulence in Near-Wall Flows, Springer, 2002

Pope, S. B.: Turbulent Flows, Cambridge University Press, 2000

Ferziger, H., Peric, M.: Computational Methods for Fluid Dynamics, Springer, 2008

The exercises will practise the lecture topics:

• Curvilinear coordinates and tensor calculus
• Potential flow theory
• Boundary-layer theory
• Laminar-turbulent transition (linear stability theory)
• Turbulent flows
• Numerical solution of the governing equation (finite difference methods)

regular attendance: 10,5 hours
self-study: 49,5 hours

The exercises of the lecture "mathematical methods in fluid mechanics 2154432" deepen the topics learned in the lectures and enable direct practice with the learnt knowledge.

The students develop an understanding for the application of mathematical methods for systematic solutions of specific, simplified flow problems. They are able to transfer the procedures to similar and more complicated problems.

none (exam of 2154432)