Course
UndergraduateSemester
ElectivesSubject Code
AE448Subject Title
Analytical Methods In Thermal And Fluid ScienceSyllabus
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. Eigenvalue problems and Eigen function expansions: Sturm-Liouville problems. Integral equations, Perturbation methods.
Text Books
- Same as Reference
References
1. Herron, I. H. and Foster, M. R., Partial Differential Equations in Fluid Dynamics, Cambridge Univ. Press (2008).
2. Telionis, D. P., Unsteady Viscous Flows, Springer (2012).
3. Duffy, D. G., Advanced Engineering Mathematics with MATLAB, 4rd ed., CRC Press (2016).
4. Greenberg, M. Advanced Engineering Mathematics, rd ed., Pearson Education (2002).
5. Myers, G. E., Analytical Methods in Conduction Heat Transfer, 2nd ed., Amch (1998).
6. Weigand, B., Analytical Methods for Heat Transfer and Fluid Flow Problems, 2nd ed., Springer (2015).
7. Arfken, G. B., Weber, H. J., and Harris, F. E., Mathematical Methods for Physicists,, 7rd ed., Academic Press (2012).