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  • 10:12 PM, Friday, 22 Oct 2021


Course Postgraduate
Semester Electives
Subject Code AE831
Subject Title Analytical Methods in Thermal and Fluid Science

Syllabus

Special Functions, Bessel equation and related functions, Laplace transform methods: Inverse Laplace transform, Complex numbers, Bromwich Integral, bilateral laplace transforms, solution to ordinary and partial differential equation, Green function and boundary value problems, Fourier transform methods, Mellin transforms. Eigen Value problems and Eigen function expansions: Sturm-Liouville problems. Integral equations, Perturbation methods

Text Books
References

 

1. Herron, I. and Foster, M., Partial differential equations in fluid dynamics, Cambridge Univ. Press (2008).

2. Telionis, D.P. and Telionis, D.P. Unsteady viscous flows (Vol. 9), Springer-Verlag (1981).

3. Duffy, D.G., Advanced Engineering Mathematics with MATLAB, 4th ed., CRC Press (2016).

4. Greenberg, M, Advanced Engineering Mathematics, 2nd ed., Pearson Education (2015).

5. Myers, G. E., Analytical Methods in Conduction Heat Transfer, Genium Pub Corp (1987).

6. Bernhard Weigand, Analytical methods for heat transfer and fluid flow problems, Springer (2004).

7. Arfken, G.B. and Weber, H.J., Mathematical Methods for Physicists, 7th ed., Academic Press (2012).