Advanced Physical Transport Phenomena

Analytical/Numerical/Modelling Aspects of Advanced Physical Transport Phenomena

(The unifying approach: Fluid Flow & Heat and Mass Transfer & Turbulence):

1. Basic Equations of Transport Phenomena - Field Description;

2. Mathematical Methods for Solving Transport Equations (PDE, separation of variables, eigenfunctions and eigenvalues, Bessel functions, Laplace transformation, Error-Gamma functions, integral methods);

3. Transport in Stagnant Media (diffusion, moving front problems, diffusion with source terms);

4. Momentum Transport (potential flows, creeping flows, boundary layers);

5. Transport in Flowing Media (stationary transport in flows with uniform velocity, heat transfer in laminar pipe flow, natural convection);

6. Numerical Heat and Fluid Flow (discretization methods for heat conduction, convection, and diffusion; differencing schemes, numerical diffusion; steady and time-dependent convection and diffusion; calculation of flow field/velocity-pressure coupling, SIMPLE algorithm);

7. Turbulence:

- Some Features and Rationale for Modelling (instantaneous features through Direct Numerical Simulations (DNS), Large-Eddy Simulations (LES));

- Some generic types of turbulent flows and convective processes;

- The wall-bounded turbulent flows: velocity and temperature distributions/wall functions;

- Reynolds decomposition, Reynolds-Averaged Navier-Stokes (RANS) turbulence models;

8. Turbulence Modelling (closure problem, eddy viscosity/diffusivity models, k-e model, other two-equation eddy-viscosity models).