IISc Bangalore Course , Prof. V. Kumaran

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IISc Bangalore Course , Prof. V. Kumaran

Contents:

Introduction - Dimensional analysis - Limitations of unit operations approach - Diffusion due to random motion. Estimates of diffusion coefficient from kinetic theory and for turbulent flow - Steady and unsteady diffusion in one dimension from a flat plate - Equivalence of heat, mass and momentum transport for unsteady one dimensional diffusion - Steady and unsteady transfer to a cylinder - balances in cylindrical co-ordinates - Effect of pressure in fluid flow.Steady and unsteady flow in a pipe. Method of separation of variables - Oscillatory flow in a pipe. Use of complex analysis for oscillatory flow. Boundary layer analysis - Free surface flows down an inclined plane. Combination of convection, diffusion.

Derivation of balance laws for stationary control volumes as partial differential equations for heat, mass and momentum transfer - Balances in cylindrical and spherical coordinates - Diffusion dominated transport in three dimensions. Fourier's law, Ficks law as partial differential equations - Solution of temperature field in a cube using spherical harmonic expansions - Temperature field around a spherical inclusion. The use of separation of variables.

Spherical harmonics. Equivalent point charge representations - Thermal conductivity of a composite - Effect of convection at low Peclet number. Regular perturbation expansion for streaming flow past a sphere - Convection at high Peclet number. Boundary layer solutions for streaming past a sphere - Computational solutions of diffusion dominated flows.

Introduction - Dimensional analysis - Limitations of unit operations approach - Diffusion due to random motion. Estimates of diffusion coefficient from kinetic theory and for turbulent flow - Steady and unsteady diffusion in one dimension from a flat plate - Equivalence of heat, mass and momentum transport for unsteady one dimensional diffusion - Steady and unsteady transfer to a cylinder - balances in cylindrical co-ordinates - Effect of pressure in fluid flow.Steady and unsteady flow in a pipe. Method of separation of variables - Oscillatory flow in a pipe. Use of complex analysis for oscillatory flow. Boundary layer analysis - Free surface flows down an inclined plane. Combination of convection, diffusion.

Derivation of balance laws for stationary control volumes as partial differential equations for heat, mass and momentum transfer - Balances in cylindrical and spherical coordinates - Diffusion dominated transport in three dimensions. Fourier's law, Ficks law as partial differential equations - Solution of temperature field in a cube using spherical harmonic expansions - Temperature field around a spherical inclusion. The use of separation of variables.

Spherical harmonics. Equivalent point charge representations - Thermal conductivity of a composite - Effect of convection at low Peclet number. Regular perturbation expansion for streaming flow past a sphere - Convection at high Peclet number. Boundary layer solutions for streaming past a sphere - Computational solutions of diffusion dominated flows.

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Fundamentals of Transport Processes by Prof. V. Kumaran, Department of Chemical Engineering, IISc Bangalore. For more details on NPTELvisit httpnptel.iitm.ac.in

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- 1.Introduction
- 2.Dimensional Analysis
- 3.Dimensional Analysis contd.
- 4.Physical Interpretation of Dimensional Groups
- 5.Continuum description
- 6.Mechanisms of diffusion - I
- 7.Mechanisms of diffusion - II
- 8.Unidirectional Transport Cartesian Coordinates - I
- 9.Unidirectional Transport Cartesian Coordinates - II Similarity Solutions
- 10.Unidirectional Transport Cartesian Coordinates - III Similarity Solutions
- 11.Unidirectional Transport Cartesian Coordinates - IV Seperation of Variables
- 12.Unidirectional Transport Cartesian Coordinates - V Seperation of Variables
- 13.Unidirectional Transport Cartesian Coordinates - VI Oscillatory Flows
- 14.Unidirectional Transport Cartesian Coordinates - VII Momentum Source in the Flow
- 15.Unidirectional Transport Cartesian Coordinates - VIII Heat & Mass Sources
- 16.Unidirectional Transport Cylindrical Coordinates - I Conservation Equations
- 17.Unidirectional Transport Cylindrical Coordinates - II Similarity Solutions
- 18.Unidirectional Transport Cylindrical Coordinates - III Seperation of Variables
- 19.Unidirectional Transport Cylindrical Coordinates - IV Steady flow in a pipe
- 20.Unidirectional Transport Cylindrical Coordinates - V Oscillatory flow in a pipe
- 21.Unidirectional Transport Cylindrical Coordinates - VI
- 22.Unidirectional Transport Cylindrical Coordinates - VII
- 23.Unidirectional Transport Spherical Coordinates - I Balance Equation
- 24.Unidirectional Transport Spherical Coordinates - II Seperation of Variables
- 25.Mass & Energy Conservation Cartesian Coordinates
- 26.Mass & Energy Conservation Cartesian Coordinates Heat Conduction in a Cube I
- 27.Mass & Energy Conservation Spherical Coordinates Balance Laws II
- 28.Mass & Energy Conservation Cylindrical Coordinates III
- 29.Diffusion Equation Spherical Co-ordinates Seperation of Variables
- 30.Diffusion Equation Spherical Co-ordinates Seperation of Variables contd. I
- 31.Diffusion Equation Spherical Co-ordinates Effective Conductivity of a Composite II
- 32.Diffusion Equation Spherical Harmonics III
- 33.Diffusion Equation Delta Functions IV
- 34.Diffusion Equation Multipole Expansions V
- 35.Diffusion Equation Oreens Function Formulations VI
- 36.High Peclet Number Transport Flow Past a Flat Plate
- 37.High Peclet Number Transport Heat Transfer from a Spherical Particle - I
- 38.High Peclet Number Transport Heat Transfer from a Spherical Particle - II
- 39.High Peclet Number Transport Heat Transfer from a Gas Bubble
- 40.Summary

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