Courses

Course

Fundamentals of Transport Processes

Indian Institute of Science Bangalore
Course Lectures
  • Mod-01 Lec-01 Introduction
    Mod-01 Lec-01 Introduction
    Prof. V. Kumaran
    Play

    This module serves as an introduction to the fundamental principles of transport processes in fluids. It sets the stage for understanding the concepts of convection and diffusion which are critical for mass, heat, and momentum transfer.

  • Mod-01 Lec-02 Dimensional Analysis
    Mod-01 Lec-02 Dimensional Analysis
    Prof. V. Kumaran
    Play

    This module explores dimensional analysis, emphasizing the importance of non-dimensional numbers in characterizing transport processes. Understanding dimensional analysis is crucial for simplifying complex physical problems:

    • Definition and purpose of dimensional analysis
    • Dimensional homogeneity
    • Application of non-dimensional parameters in transport processes
  • Mod-01 Lec-03 Dimensional Analysis contd.
    Mod-01 Lec-03 Dimensional Analysis contd.
    Prof. V. Kumaran
    Play

    This continuation of dimensional analysis delves deeper into its applications in various transport scenarios. Students will learn how to apply dimensional analysis to model real-world transport problems effectively.

  • Mod-01 Lec-04 Physical Interpretation of Dimensional Groups
    Mod-01 Lec-04 Physical Interpretation of Dimensional Groups
    Prof. V. Kumaran
    Play

    This module provides a physical interpretation of dimensional groups discovered in the previous lectures. Understanding these groups is essential for analyzing and solving fluid flow problems effectively:

    • The significance of dimensionless numbers
    • Impact on physical behavior in transport processes
    • Examples from real-world applications
  • Mod-02 Lec-05 Continuum description
    Mod-02 Lec-05 Continuum description
    Prof. V. Kumaran
    Play

    This module introduces the continuum description of fluids, laying the groundwork for understanding fluid behavior at a macroscopic level. Key concepts include:

    • Definition of a continuum
    • Difference between macroscopic and microscopic views
    • Applications of continuum mechanics in transport processes
  • Mod-02 Lec-06 Mechanisms of diffusion - I
    Mod-02 Lec-06 Mechanisms of diffusion - I
    Prof. V. Kumaran
    Play

    This module discusses the mechanisms of diffusion, exploring both theoretical and practical aspects. Students will gain insights into the fundamental principles governing diffusion:

    • Understanding molecular movement
    • Factors affecting diffusion rates
    • Applications in various fields
  • Mod-02 Lec-07 Mechanisms of diffusion - II
    Mod-02 Lec-07 Mechanisms of diffusion - II
    Prof. V. Kumaran
    Play

    Continuing from the previous module, this section further explores diffusion mechanisms. Students will analyze various models and equations used to predict diffusion behavior in fluids.

  • Mod-03 Lec-08 Unidirectional Transport Cartesian Coordinates - I
    Mod-03 Lec-08 Unidirectional Transport Cartesian Coordinates - I
    Prof. V. Kumaran
    Play

    This module focuses on unidirectional transport in Cartesian coordinates, introducing students to the mathematical techniques necessary for analyzing transport phenomena:

    • Formulation of transport equations
    • Boundary conditions and initial conditions
    • Applications in engineering and science
  • Mod-03 Lec-09 Unidirectional Transport Cartesian Coordinates - II Similarity Solutions
    Mod-03 Lec-09 Unidirectional Transport Cartesian Coordinates - II Similarity Solutions
    Prof. V. Kumaran
    Play

    This module continues the analysis of unidirectional transport in Cartesian coordinates, focusing on similarity solutions. Students will learn how to simplify complex transport equations:

    • Definition of similarity solutions
    • Applications in transport processes
    • Examples and case studies
  • Mod-03 Lec-10 Unidirectional Transport Cartesian Coordinates - III Similarity Solutions
    Mod-03 Lec-10 Unidirectional Transport Cartesian Coordinates - III Similarity Solutions
    Prof. V. Kumaran
    Play

    This module further examines unidirectional transport in Cartesian coordinates, emphasizing advanced similarity solutions and their implications for transport phenomena.

  • Mod-03 Lec-11 Unidirectional Transport Cartesian Coordinates - IV Seperation of Variables
    Mod-03 Lec-11 Unidirectional Transport Cartesian Coordinates - IV Seperation of Variables
    Prof. V. Kumaran
    Play

    This module introduces separation of variables as a technique for solving transport equations in Cartesian coordinates. Students will learn how to apply this method to various transport scenarios:

    • Concept of separation of variables
    • Examples from mass and heat transfer
    • Limitations and considerations
  • Mod-03 Lec-12 Unidirectional Transport Cartesian Coordinates - V Seperation of Variables
    Mod-03 Lec-12 Unidirectional Transport Cartesian Coordinates - V Seperation of Variables
    Prof. V. Kumaran
    Play

    This module continues the study of unidirectional transport through separation of variables, focusing on more complex scenarios and real-world applications.

  • Mod-03 Lec-13 Unidirectional Transport Cartesian Coordinates - VI Oscillatory Flows
    Mod-03 Lec-13 Unidirectional Transport Cartesian Coordinates - VI Oscillatory Flows
    Prof. V. Kumaran
    Play

    This module examines oscillatory flows within the context of unidirectional transport in Cartesian coordinates, introducing students to the challenges posed by such flows:

    • Characteristics of oscillatory flows
    • Mathematical modeling of oscillatory transport
    • Applications in engineering
  • Mod-03 Lec-14 Unidirectional Transport Cartesian Coordinates - VII Momentum Source in the Flow
    Mod-03 Lec-14 Unidirectional Transport Cartesian Coordinates - VII Momentum Source in the Flow
    Prof. V. Kumaran
    Play

    This module explores momentum sources within unidirectional transport in Cartesian coordinates, focusing on the impact of external forces on fluid behavior:

    • Identification of momentum sources
    • Mathematical representation of forces
    • Effects on transport processes
  • Mod-03 Lec-15 Unidirectional Transport Cartesian Coordinates - VIII Heat & Mass Sources
    Mod-03 Lec-15 Unidirectional Transport Cartesian Coordinates - VIII Heat & Mass Sources
    Prof. V. Kumaran
    Play

    This module discusses the interaction of heat and mass sources within unidirectional transport, highlighting their significance in various applications:

    • Heat source characterization
    • Mass source implications
    • Applications in thermal management
  • Mod-04 Lec-16 Unidirectional Transport Cylindrical Coordinates - I Conservation Equations
    Mod-04 Lec-16 Unidirectional Transport Cylindrical Coordinates - I Conservation Equations
    Prof. V. Kumaran
    Play

    This module introduces unidirectional transport in cylindrical coordinates, focusing on conservation equations. Students will learn the fundamental principles guiding transport in cylindrical systems:

    • Formulation of conservation equations
    • Applications in cylindrical systems
    • Examples from engineering problems
  • Mod-04 Lec-17 Unidirectional Transport Cylindrical Coordinates - II Similarity Solutions
    Mod-04 Lec-17 Unidirectional Transport Cylindrical Coordinates - II Similarity Solutions
    Prof. V. Kumaran
    Play

    This module continues the study of unidirectional transport in cylindrical coordinates with an emphasis on similarity solutions, exploring their applications in practical scenarios.

  • Mod-04 Lec-18 Unidirectional Transport Cylindrical Coordinates - III Seperation of Variables
    Mod-04 Lec-18 Unidirectional Transport Cylindrical Coordinates - III Seperation of Variables
    Prof. V. Kumaran
    Play

    This module delves deeper into cylindrical coordinates, focusing on separation of variables as a method for solving transport equations in cylindrical systems.

  • Mod-04 Lec-19 Unidirectional Transport Cylindrical Coordinates - IV Steady flow in a pipe
    Mod-04 Lec-19 Unidirectional Transport Cylindrical Coordinates - IV Steady flow in a pipe
    Prof. V. Kumaran
    Play

    This module examines steady flow in a pipe within the framework of cylindrical coordinates, addressing practical implications for engineering applications:

    • Characteristics of steady flow
    • Mathematical modeling of pipe flow
    • Applications in fluid transport systems
  • Mod-04 Lec-20 Unidirectional Transport Cylindrical Coordinates - V Oscillatory flow in a pipe
    Mod-04 Lec-20 Unidirectional Transport Cylindrical Coordinates - V Oscillatory flow in a pipe
    Prof. V. Kumaran
    Play

    This module focuses on oscillatory flow in pipes using cylindrical coordinates, introducing students to the complexities and modeling challenges associated with oscillatory behavior:

    • Understanding oscillatory flow characteristics
    • Mathematical representation of oscillatory transport
    • Applications in real-world scenarios
  • Mod-04 Lec-21 Unidirectional Transport Cylindrical Coordinates - VI
    Mod-04 Lec-21 Unidirectional Transport Cylindrical Coordinates - VI
    Prof. V. Kumaran
    Play

    This module delves into the intricacies of unidirectional transport in cylindrical coordinates, exploring fundamental concepts and methodologies. The focus is on understanding the balance equations that govern these processes, providing a foundation for more complex analyses.

    • Introduction to cylindrical coordinates.
    • Understanding balance equations in fluid dynamics.
    • Applications in engineering and physics.
  • Mod-04 Lec-22 Unidirectional Transport Cylindrical Coordinates - VII
    Mod-04 Lec-22 Unidirectional Transport Cylindrical Coordinates - VII
    Prof. V. Kumaran
    Play

    This module continues the exploration of unidirectional transport in cylindrical coordinates, building upon the foundation laid in the previous lecture. Emphasis is placed on advanced concepts and solving practical problems associated with these processes.

    • Advanced cylindrical coordinate systems.
    • Problem-solving in transport processes.
    • Case studies and practical applications.
  • Mod-04 Lec-23 Unidirectional Transport Spherical Coordinates - I Balance Equation
    Mod-04 Lec-23 Unidirectional Transport Spherical Coordinates - I Balance Equation
    Prof. V. Kumaran
    Play

    This module introduces unidirectional transport in spherical coordinates, focusing on the balance equation. Students will learn about the unique challenges and solutions associated with transport processes in spherical systems.

    • Basics of spherical coordinates.
    • Balance equations in spherical systems.
    • Applications in various fields.
  • Mod-04 Lec-24 Unidirectional Transport Spherical Coordinates - II Seperation of Variables
    Mod-04 Lec-24 Unidirectional Transport Spherical Coordinates - II Seperation of Variables
    Prof. V. Kumaran
    Play

    This module covers the separation of variables technique in unidirectional transport within spherical coordinates. Students will explore how this method is used to solve complex transport equations effectively.

    • Introduction to separation of variables.
    • Solving transport equations.
    • Practical examples and applications.
  • Mod-05 Lec-25 Mass & Energy Conservation Cartesian Coordinates
    Mod-05 Lec-25 Mass & Energy Conservation Cartesian Coordinates
    Prof. V. Kumaran
    Play

    This module focuses on mass and energy conservation in Cartesian coordinates. Students will delve into the principles governing these conservation laws and their significance in transport processes.

    • Principles of mass and energy conservation.
    • Applications in Cartesian systems.
    • Importance in transport processes.
  • Mod-05 Lec-26 Mass & Energy Conservation Cartesian Coordinates Heat Conduction in a Cube
    Mod-05 Lec-26 Mass & Energy Conservation Cartesian Coordinates Heat Conduction in a Cube
    Prof. V. Kumaran
    Play

    This module examines heat conduction in a cube, using mass and energy conservation principles in Cartesian coordinates. Students will learn to analyze heat transfer phenomena and solve related problems.

    • Heat conduction principles.
    • Analyzing heat transfer in a cube.
    • Problem-solving in heat conduction.
  • Mod-05 Lec-27 Mass & Energy Conservation Spherical Coordinates Balance Laws
    Mod-05 Lec-27 Mass & Energy Conservation Spherical Coordinates Balance Laws
    Prof. V. Kumaran
    Play

    This module explores balance laws in spherical coordinates, focusing on mass and energy conservation. Students will gain a deeper understanding of transport phenomena within spherical systems.

    • Understanding balance laws in spherical systems.
    • Mass and energy conservation principles.
    • Applications in engineering and physics.
  • Mod-05 Lec-28 Mass & Energy Conservation Cylindrical Coordinates
    Mod-05 Lec-28 Mass & Energy Conservation Cylindrical Coordinates
    Prof. V. Kumaran
    Play

    This module discusses mass and energy conservation in cylindrical coordinates. Students will explore the unique challenges and solutions associated with transport processes in cylindrical systems.

    • Mass and energy conservation in cylindrical systems.
    • Challenges in transport processes.
    • Applications in various industries.
  • Mod-06 Lec-29 Diffusion Equation Spherical Co-ordinates Seperation of Variables
    Mod-06 Lec-29 Diffusion Equation Spherical Co-ordinates Seperation of Variables
    Prof. V. Kumaran
    Play

    This module introduces the diffusion equation in spherical coordinates, with a focus on the separation of variables technique. Students will learn to apply mathematical methods to solve diffusion-related problems.

    • Introduction to the diffusion equation.
    • Using separation of variables in spherical systems.
    • Solving diffusion problems.
  • Mod-06 Lec-30 Diffusion Equation Spherical Co-ordinates Seperation of Variables contd.
    Mod-06 Lec-30 Diffusion Equation Spherical Co-ordinates Seperation of Variables contd.
    Prof. V. Kumaran
    Play

    This module continues the discussion on the diffusion equation in spherical coordinates, further exploring the separation of variables technique. Students will engage with more advanced problem-solving scenarios.

    • Advanced diffusion equation techniques.
    • Further applications of separation of variables.
    • Complex problem-solving in diffusion.
  • Mod-06 Lec-31 Diffusion Equation Spherical Co-ordinates Effective Conductivity of a Composite
    Mod-06 Lec-31 Diffusion Equation Spherical Co-ordinates Effective Conductivity of a Composite
    Prof. V. Kumaran
    Play

    In this module, students will explore the effective conductivity of composites using diffusion equations in spherical coordinates. The focus is on understanding the behavior of composite materials under various conditions.

    • Introduction to composite materials.
    • Effective conductivity analysis.
    • Applications in material science and engineering.
  • Mod-06 Lec-32 Diffusion Equation Spherical Harmonics
    Mod-06 Lec-32 Diffusion Equation Spherical Harmonics
    Prof. V. Kumaran
    Play

    This module delves into the concept of spherical harmonics within the context of diffusion equations. Students will learn how spherical harmonics are applied in solving complex diffusion problems.

    • Understanding spherical harmonics.
    • Applications in diffusion equations.
    • Advanced problem-solving techniques.
  • Mod-06 Lec-33 Diffusion Equation Delta Functions
    Mod-06 Lec-33 Diffusion Equation Delta Functions
    Prof. V. Kumaran
    Play

    This module introduces the concept of delta functions in the context of diffusion equations. Students will learn how delta functions are used to model point sources and other complex scenarios.

    • Introduction to delta functions.
    • Modeling point sources in diffusion.
    • Applications in engineering and physics.
  • Mod-06 Lec-34 Diffusion Equation Multipole Expansions
    Mod-06 Lec-34 Diffusion Equation Multipole Expansions
    Prof. V. Kumaran
    Play

    This module explores multipole expansions in the context of diffusion equations. Students will gain insights into the mathematical techniques used to solve complex diffusion-related problems using multipole expansions.

    • Introduction to multipole expansions.
    • Applications in diffusion equations.
    • Advanced mathematical techniques.
  • Mod-06 Lec-35 Diffusion Equation Oreens Function Formulations
    Mod-06 Lec-35 Diffusion Equation Oreens Function Formulations
    Prof. V. Kumaran
    Play

    This module covers the use of Green's function formulations in diffusion equations. Students will learn how Green's functions are applied to solve boundary value problems and other diffusion-related scenarios.

    • Understanding Green's functions.
    • Applications in diffusion equations.
    • Solving boundary value problems.
  • Mod-07 Lec-36 High Peclet Number Transport Flow Past a Flat Plate
    Mod-07 Lec-36 High Peclet Number Transport Flow Past a Flat Plate
    Prof. V. Kumaran
    Play

    This module explores high Peclet number transport, focusing on flow past a flat plate. Students will understand the challenges and solutions associated with heat and mass transfer in high Peclet number regimes.

    • Introduction to high Peclet number transport.
    • Flow dynamics past a flat plate.
    • Heat and mass transfer challenges.
  • Mod-07 Lec-37 High Peclet Number Transport Heat Transfer from a Spherical Particle - I
    Mod-07 Lec-37 High Peclet Number Transport Heat Transfer from a Spherical Particle - I
    Prof. V. Kumaran
    Play

    This module examines heat transfer from a spherical particle in high Peclet number regimes. Students will learn about the effects of convection and the methodologies used to analyze heat transfer in these scenarios.

    • Heat transfer from spherical particles.
    • Convection effects in high Peclet number regimes.
    • Analyzing heat transfer scenarios.
  • Mod-07 Lec-38 High Peclet Number Transport Heat Transfer from a Spherical Particle - II
    Mod-07 Lec-38 High Peclet Number Transport Heat Transfer from a Spherical Particle - II
    Prof. V. Kumaran
    Play

    This module continues the examination of heat transfer from spherical particles in high Peclet number scenarios. Students will further explore the methodologies and analyze more complex heat transfer problems.

    • Advanced heat transfer analysis.
    • Complex scenarios in high Peclet number regimes.
    • Problem-solving in heat transfer.
  • Mod-07 Lec-39 High Peclet Number Transport Heat Transfer from a Gas Bubble
    Mod-07 Lec-39 High Peclet Number Transport Heat Transfer from a Gas Bubble
    Prof. V. Kumaran
    Play

    This module focuses on heat transfer from a gas bubble in high Peclet number regimes. Students will learn about the dynamics of gas bubbles and the challenges in modeling heat transfer in such systems.

    • Introduction to gas bubble dynamics.
    • Heat transfer challenges in high Peclet number regimes.
    • Modeling techniques for gas bubbles.
  • Mod-07 Lec-40 Summary
    Mod-07 Lec-40 Summary
    Prof. V. Kumaran
    Play

    This module provides a comprehensive summary of the course, encapsulating key concepts and methodologies covered throughout. Students will review the fundamental principles of transport processes and their applications.

    • Summary of key concepts.
    • Review of methodologies and applications.
    • Final insights into transport processes.
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