Heat conduction governing equation, extended surface heat transfer, multi-dimensional steady and unsteady conduction, conduction in semi-infinite domain, concept of superposition integral, applications, solidification and melting, inverse heat conduction.

Introduction to air-breathing and rocket propulsion systems – classification of air-breathing engines – thrust and performance evaluation – cycle analysis of ramjet, turbojet, turbofan, turboprop – diffuser and nozzle component analysis – combustion chambers – rocket propulsion systems classification – performance parameters of rocket propulsion – nozzle flow theory – chemical rockets – liquid rocket engine cycles – liquid propellants – solid propellant rockets.

Eulerian and Lagrangian approach – fluid kinematics: material derivative, rotation, deformation –Reynolds transport theorem – physical conservation laws – integral and differential formulations – Navier–Stokes and energy equations – exact solution of Navier–Stokes equations: steady and unsteady flows – potential flows: basic flow patterns, superposition – waves in fluids – boundary layer theory: momentum integral approach, Blasius solution, Falkner–Skan solutions – turbulent flows:time-averaged equations – closure problem – turbulence modeling.