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Course Description

In engineering, physics and chemistry, the study of transport phenomena concerns the exchange of mass, energy, and momentum between observed and studied systems. While it draws from fields as diverse as continuum mechanics and thermodynamics, it places a heavy emphasis on the commonalities between the topics covered. Mass, momentum, and heat transport all share a very similar mathematical framework, and the parallels between them are exploited in the study of transport phenomena to draw deep mathematical connections that often provide very useful tools in the analysis of one field that are directly derived from the others.

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

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