Credits: 4 (3-0-2)
Description
Mathematical Description of the Physical Phenomena- Governing equations—mass, momentum, energy, species, General form of the scalar transport equation, Elliptic, parabolic and hyperbolic equations. Discretization Methods- Introduction to finite difference and finite volume method, Consistency, stability and convergence.
Diffusion Equation- 1D-2D steady diffusion, Source terms, non- linearity, Boundary conditions, interface diffusion coefficient, Under- relaxation, Solution of linear equations (preliminary), Unsteady diffusion, Explicit, Implicit and Crank-Nicolson scheme.
Convection and Diffusion- Steady one-dimensional convection and diffusion, Upwind, exponential, hybrid, power, QUICK scheme, Two- dimensional convection-diffusion.
Flow Field Calculation- Incompressibility issues and pressure-velocity coupling, Primitive variable versus other methods, Vorticity-stream function formulation, Staggered grid, SIMPLE family of algorithms. Radiative heat transfer - Computation of surface radiation using zone method, Solution of radiative transfer equation using discrete transfer, discrete ordinates and finite volume methods.