MCL 704 : Applied Mathematics for Thermofluids:

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MCL 704 : Applied Mathematics for Thermofluids: 3-0-0-2 P M V Subbarao Professor Mechanical Engineering Department Chairman, Committee of SEG Coordinators Class Room : LH 623 Slot B Timings : 9.30 am to 11.00 am on Monday & Thursday

Syllabus : Phase 1 Concept of mathematical description for Thermofluids. Multi-dimensional nature &Vector Calculus for description of Thermofluids. Superiority of differential equation methods in Thermofluids. Review of ordinary differential equations. Strum-Liouville theory. Initial-boundary value problems. Linear and Non-linear systems. Theory of linear homogeneous and nonhomogeneous equations. Non-linear systems: Series solutions of linear ordinary differential equations.

Syllabus : Phase 1 Special functions. PDEs, classification of PDEs: 1st & 2nd order PDE - Planar, cylindrical and spherical geometries, Homogeneous and non homogeneous PDEs. Stability and instability of regular system.

Books Engineering Differential Equations: Theory and Applications, Bill Goodwine; Springer. Partial Differential Equations: Graduate Level Problems and Solutions, Igor Yanovsky, 2005. Partial Differential Equations : Lecture Notes, T. Muthukumar. Analytical Techniques for Partial Differential Equations : Lecture Notes, T. Muthukumar: tmk@iitk.ac.in. Partial Differential Equations : Lecture Notes, Erich Miersemann, Department of Mathematics, Leipzig University Version October, 2012.