Governing equations in Cartesian, cylindrical and spherical coordinates –1-D steady state heat conduction with and without heat generation– Composite wall– Electrical analogy – Critical thickness of insulation – Heat transfer from extended surfaces – Effect of temperature on conductivity–1-D transient analysis

Review of basic equations of fluid flow – Dimensional analysis- Forced convection – Laminar flow over flat plate and flow through pipes– Flow across tube banks–Turbulent flow over flat plate and flow through pipes – Free convection – Heat transfer from vertical plate using integral method – Empirical relations– Types of heat exchangers – Overall heat transfer coefficient –Logarithmic Mean Temperature Difference and Number of Transfer Units methods of analysis –Gas turbine blade cooling.

Basic definitions – Concept of black body – Laws of black body radiation–Radiation between black surfaces – Radiation heat exchange between grey surfaces – Radiation shielding – Shape factor– Electrical network analogy in thermal radiation systems

1-D and 2-D steady and unsteady state heat conduction – Composite walls– Heat generation–variable thermal conductivity–Extended surfaces analysis using finite difference method– Convective heat transfer– Stream function –Vorticity method–Creeping flow analysis– convection–Diffusion 1-D, 2-D analysis using finite difference approximation –Numerical methods applicable to radiation heat transfer - Case studies

Heat transfer problems in gas turbines–Rocket thrust chambers– Combustion chamber wall cooling techniques– Aerodynamic heating – Ablative heat transfer– Thermal Analysis of multilayer insulation for reentry aerodynamic heating - Simulation softwares.