Transport Phenomena

Generalised equations for momentum, mass and heat flow. Laminar and turbulent boundary layers. Brief introduction to rheology and non-Newtonian fluids for biological systems. Steady and un-steady diffusion in dilute and concentrated fluids in different geometries. The Fick and Stefan-Maxwell equations, multicomponent diffusion. Diffusion in porous media. Mass transfer models. Simultaneous heat and mass transfer and transfer analogies. Introduction to Matlab (Solving ordinary differential and partial differential equations, discretization).

At the end of the course the students should know: - Generalized equations for mass, momentum and heat. - Reynolds and Gauss theorems. - Combined diffusive and convective transport. - Film- and penetration models for mass and heat transfer. - Stefan-Maxwells equations for multi-component diffusion. - Use of the generalized equations for mass, momentum and heat for specific examples. - Transform pratical problems into mathematical equations. - Solve the given set of equations either analytically or numerically. - Matlab programming on a level of solving differential equations and partial differential equations, discretization. - Numerical integration with Runge Kutta and finite difference discretization.

Expected workload per week is three hours of lectures, two hours of exercises and seven hours of self-study. Compulsory exercises where all will contribute to the final mark. The exercises partially use Matlab. The total workload in the subject is 200 hours distributed on lectures (40%) and projects/independent studying (60%).