Week 1: Introduction. Classification of different process types and modelling approaches. Constitutive relations in Fluid flow, Heat and mass transfer.
Week 2: Introduction to special functions: Bessel and Legendre polynomial. Mathematical background in solving PDEs. Separation of variables, Laplace and Fourier transform.
Week 3: Numerical techniques in solving PDE – Method of lines, implicit and explicit methods. Numerical stability schemes.
Week 4: Perturbation methods, asymptotic analysis. Stability of dynamical systems.
Week 5: Modelling of Mass transfer based transport problems.
Week 6: Mass transfer with reaction problems. Modelling enzymatic and cellular reaction process. Demonstration of COMSOL Multiphysics.
Week 7: Modelling and simulation of multistage multicomponent continuous distillation process.
Week 8: Multi-stage distillation process design – continued. Pinch analysis. Heat exchanger network design.
Week 9: Heat exchanger network continued. Aspen Plus demonstration
Week 10: Dispersed phase modelling using population balance methods.
Week 11: Dispersed phase modelling – continued. Solution of population balance equations.
Week 12: Basics of Kinetic Monte Carlo simulation. Response surface methodology. Artificial Neural Network Design.