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NPTEL

Advanced Heat Conduction

NPTEL via Swayam

Overview

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ABOUT THE COURSE:This course will focus exclusively on principles and analysis of heat transfer by conduction. A wide range of mathematical techniques will be presented for formulations and analytical solutions of broad class of heat conduction problems. The course will cover analytical solutions of steady and transient one- and multi-dimensional heat conduction problems on various coordinate systems, heat conduction involving phase change, heat conduction with local heat source, and heat conduction in porous media. After completing the course, the participants will develop the required skills to model, analyze and solve a wide range of engineering problems involving heat transfer by conduction. The students will also find various analytical methods presented here in other areas of study or for individual research.INTENDED AUDIENCE: Chemical Engineering, Metallurgical Engineering, Agricultural Engineering, Aerospace Engineering, Mechanical Engineering, Practicing EngineersPREREQUISITES: Heat Transfer (UG Level), Engineering MathematicsINDUSTRY SUPPORT:Various Chemical Process IndustriesThermal/Power industriesManufacturers of Heat Transfer EquipmentSteel Industries

Syllabus

Week 1: Foundations of Heat Transfer
Week 2:The Sturm-Liouville Theory and Fourier Expansions
Week 3:Multi-dimensional Steady-State Heat Conduction Problems: Solution by Separation of Variables
Week 4:Multi-dimensional Transient Heat Conduction Problems: Solution by Separation of Variables
Week 5:Heat Conduction Problems in Semi-infinite and Infinite Domains
Week 6:Solution of Heat Conduction Problems with Integral Transforms
Week 7:Solution of Heat Conduction Problems by Duhamel’s Method and Green’s Function
Week 8:Heat Conduction Involving Phase Change
Week 9:Heat Conduction with Local Heat Sources
Week 10:Approximate Methods for Solution for Heat Conduction Problems
Week 11:Heat Conduction in Porous Media and Anisotropic Solids
Week 12:Numerical Methods for Heat Conduction Problems

Taught by

Prof. Debasis Sarkar

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