Course Co-ordinated by IISc Bangalore
 Coordinators IISc Bangalore

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The objective of this course it to provide a fundamental understanding of the convection and diffusion process in fluids, and how these determine the rates of transport of mass, heat and momentum.

 S.No Topics No. of Hours 1 Introduction 1 2 Dimensional analysis. Limitations of unit operations approach. 3 3 Diffusion due to random motion. Estimates of diffusion coefficient from kinetic theory and for turbulent flow. 2 4 Steady and unsteady diffusion in one dimension from a flat plate. Equivalence of heat, mass and momentum transport for unsteady one dimensional diffusion. 2 5 Steady and unsteady transfer to a cylinder - balances in cylindrical co-ordinates. 2 6 Effect of pressure in fluid flow.Steady and unsteady flow in a pipe. Method of separation of variables. 2 7 Oscillatory flow in a pipe. Use of complex analysis for oscillatory flow. Boundary layer analysis. 2 8 Free surface flows down an inclined plane. Combination of convection, diffusion. 2 9 Derivation of balance laws for stationary control volumes as partial differential equations for heat, mass and momentum transfer. 3 10 Balances in cylindrical and spherical coordinates. 3 11 Diffusion dominated transport in three dimensions. Fourier's law, Fick’s law as partial differential equations. 2 12 Solution of temperature field in a cube using spherical harmonic expansions. 2 13 Temperature field around a spherical inclusion. The use of separation of variables. 2 14 Spherical harmonics. Equivalent point charge representations. 2 15 Thermal conductivity of a composite. 2 16 Effect of convection at low Peclet number. Regular perturbation expansion for streaming flow past a sphere. 2 17 Convection at high Peclet number. Boundary layer solutions for streaming past a sphere. 3 18 Computational solutions of diffusion dominated flows. 4 Total 41

Unit operations and transport phenomena at the undergraduate level.

1. Bird, Stewart and Lightfoot (BSL), Transport Phenomena, Wiley International, 1960.

2. L. G. Leal, Laminar Flow and Convective Transport Processes, Butterworth-Heineman, 1992.

3. G. K. Batchelor, An Introduction to Fluid Dynamics, Cambridge University Press, 1967.