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Navier Stokes equations and its simplified forms, discussion on their physical meaning, basic aspects of discretisation schemes. Finite volume methods, application of finite volume methods to simple equations like one dimensional steady state conduction equation and there by demonstrating how a CFD software works, impact of grid quality and grid size on accuracy of results, solution matrix etc Stability. Convergence and consistency, CFL condition Pressure correction techniques (Simple and simpler algorithms), compressible and incompressible solvers, detailed explanation of all types of boundary conditions and their importance in CFD analysis, discretisation techniques like upwind methods(First order and second order), Quick methods and Power law Relaxation parameters. Reynolds averaged Navier Stokes equations, K epsilon model, Spalart allmaras model, near wall flow modelling, wall functions

Fluid Dynamics Significance of dynamic viscosity, laminar boundary layer, laminar Turbulent transition, turbulent boundary layer, Structure of a turbulent boundary layer (laminar sub layer, buffer layer and log law layer), Thermal boundary layer, boundary layer control, effect of adverse Pressure gradient, boundary layer separation

Gas Dynamics Fundamental physical quantities of a flowing gas The source of aerodynamics forces, equation of state Concept of Mach number and classification of flow regimes in to Incompressible, Subsonic, Transonic, Sonic, Supersonic and Hypersonic based on Mach number Stagnation properties (stagnation pressure, stagnation enthalpy and stagnation temperature) Effect of Mach number on compressibility, mass flow rate in terms of pressure ratio, mass flow rate in terms of Mach number, flow through convergent nozzle, flow through convergent divergent nozzle, flow through diffusers, Mach number variation in nozzle and diffuser, concept of shock wave Use of gas tables

Significance of heat transfer in engineering design, Heat conduction equation, boundary conditions, thermal contact resistance Laminar free convection, effect of turbulence on free convection, external free convection flows and free convection in enclosures Significance of heat transfer coefficient, local and average convective heat transfer coefficient, heat transfer correlations in internal and external flows Mechanism of radiation heat transfer, radiation intensity, radiation properties, concept of black body, radiation shape factor, radiation shield.

Introduction, Airfoil nomenclature, Lift, Drag and moment coefficients, Airfoil data, Infinite and finite wings, Pressure coefficient, Compressibility correction for lift coefficient, Critical Mach number and critical pressure coefficients, Drag divergence Mach number, Wave drag at supersonic speeds, summary of air foil drag, calculation of induced drag, change in lift slope, swept wings, Mechanisms for higher lift.