# Fundamentals of Transport Processes

Indian Institute of Science Bangalore

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.

Course details:

• 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, Fick’s 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.
• ##### Mod-01 Lec-01 Introduction
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• ##### Mod-01 Lec-02 Dimensional Analysis
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• ##### Mod-01 Lec-03 Dimensional Analysis contd.
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• ##### Mod-01 Lec-04 Physical Interpretation of Dimensional Groups
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• ##### Mod-02 Lec-05 Continuum description
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• ##### Mod-02 Lec-07 Mechanisms of diffusion - II
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• ##### Mod-03 Lec-08 Unidirectional Transport Cartesian Coordinates - I
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• ##### Mod-03 Lec-09 Unidirectional Transport Cartesian Coordinates - II Similarity Solutions
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• ##### Mod-03 Lec-10 Unidirectional Transport Cartesian Coordinates - III Similarity Solutions
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• ##### Mod-03 Lec-11 Unidirectional Transport Cartesian Coordinates - IV Seperation of Variables
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• ##### Mod-03 Lec-12 Unidirectional Transport Cartesian Coordinates - V Seperation of Variables
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• ##### Mod-03 Lec-13 Unidirectional Transport Cartesian Coordinates - VI Oscillatory Flows
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• ##### Mod-03 Lec-14 Unidirectional Transport Cartesian Coordinates - VII Momentum Source in the Flow
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• ##### Mod-03 Lec-15 Unidirectional Transport Cartesian Coordinates - VIII Heat &amp; Mass Sources
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• ##### Mod-04 Lec-16 Unidirectional Transport Cylindrical Coordinates - I Conservation Equations
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• ##### Mod-04 Lec-17 Unidirectional Transport Cylindrical Coordinates - II Similarity Solutions
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• ##### Mod-04 Lec-18 Unidirectional Transport Cylindrical Coordinates - III Seperation of Variables
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• ##### Mod-04 Lec-19 Unidirectional Transport Cylindrical Coordinates - IV Steady flow in a pipe
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• ##### Mod-04 Lec-20 Unidirectional Transport Cylindrical Coordinates - V Oscillatory flow in a pipe
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• ##### Mod-04 Lec-21 Unidirectional Transport Cylindrical Coordinates - VI
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• ##### Mod-04 Lec-22 Unidirectional Transport Cylindrical Coordinates - VII
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• ##### Mod-04 Lec-23 Unidirectional Transport Spherical Coordinates - I Balance Equation
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• ##### Mod-04 Lec-24 Unidirectional Transport Spherical Coordinates - II Seperation of Variables
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• ##### Mod-05 Lec-25 Mass &amp; Energy Conservation Cartesian Coordinates
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• ##### Mod-05 Lec-26 Mass &amp; Energy Conservation Cartesian Coordinates Heat Conduction in a Cube
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• ##### Mod-05 Lec-27 Mass &amp; Energy Conservation Spherical Coordinates Balance Laws
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• ##### Mod-05 Lec-28 Mass &amp; Energy Conservation Cylindrical Coordinates
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• ##### Mod-06 Lec-29 Diffusion Equation Spherical Co-ordinates Seperation of Variables
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• ##### Mod-06 Lec-30 Diffusion Equation Spherical Co-ordinates Seperation of Variables contd.
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• ##### Mod-06 Lec-31 Diffusion Equation Spherical Co-ordinates Effective Conductivity of a Composite
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• ##### Mod-06 Lec-32 Diffusion Equation Spherical Harmonics
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• ##### Mod-06 Lec-33 Diffusion Equation Delta Functions
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• ##### Mod-06 Lec-34 Diffusion Equation Multipole Expansions
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• ##### Mod-06 Lec-35 Diffusion Equation Oreens Function Formulations
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• ##### Mod-07 Lec-36 High Peclet Number Transport Flow Past a Flat Plate
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• ##### Mod-07 Lec-37 High Peclet Number Transport Heat Transfer from a Spherical Particle - I
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• ##### Mod-07 Lec-38 High Peclet Number Transport Heat Transfer from a Spherical Particle - II
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• ##### Mod-07 Lec-39 High Peclet Number Transport Heat Transfer from a Gas Bubble
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• ##### Mod-07 Lec-40 Summary
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