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Prof Róbert von Fáy-Siebenbürgen

GIAN Lectures: Advanced Fluid Dynamics

You can donwload from here some teaching materials I have covered in the GIAN lecture series on Advanced Fluid Dynamics given in the Autumn Semester at the Department of Physics, IIT-BHU, Varanasi, India.

Lecture Notes are available for the following sections of the course


Worked Examples are available for the following sections of the course


Exercises with Solutions are available for the following sections of the course


Useful Formula sheets for the course


Auxilary Java applets

Here you find a list of Java applests that may help you to visualize the course material.
With time I will add more applets, so watch this space.

Oscillations on finite strings
Simulation of wave motion of a string.
Oscillations of a rectangular membrane
Vibrational modes in a 2-dimensional rectengular membrane.
Oscillations of a circular membrane
Vibrational modes in a 2-dimensional circular membrane.
Fourier series
Frequency analysis of periodic functions.

Reference Literature

R. Knobel: An Introduction to the Mathematical Theory of Waves
American Mathematical Society, 2000
ISBN: ISBN: 0-8218-2039-7 (pbk)
[Covers almost all course material. Excellent book.]

J. Billingham & A.C. King: Wave Motion
Cambridge Texts in Applied Mathematics, CUP, 2001
0-521-634504 (pbk)
[Covers all the course. Many parts of the book may be hard for UK maths UGs.]

G.B. Whitham: Linear and Nonlinear Waves
Pure and Applied Mathematics, Wiley, 1999
0-471-35942 (pbk)
[Covers all the course. Really a text for graduate and research students. Authoritative reference.]

Sir J. Lighthill: Waves in Fluids
Cambridge Mathematical Library, CUP, 2003
ISBN: 0-521-01045 (pbk)
[Covers part of the course on fluid waves. Excellent insight.]


Thanks: I would like to sincerely thank all those colleagues and friends (Professor Chatwin, Ohkitani, Drs Fedun, Malins, Rees and Willis) who helped me putting these notes together.

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Maintaned by RvFS