Course103106159118 lectures
Continuum Mechanics and Transport Phenomena
Prof. T. Renganathan · IIT Madras
Lectures
Week 0
- Measurement and Prediction - Part 1
- Measurement and Prediction - Part 2
- Overview of Transport Phenomena
- Scope of Course
Week 1
- Continuum Hypothesis
- Lagrangian and Eulerian Descriptions - Part 1
- Lagrangian and Eulerian Descriptions - Part 2
- Substantial Derivative Part 1
- Substantial Derivative Part 2
- Substantial Derivative Example 1
- Substantial Derivative Example 2
- Visualization of Flow Patterns: Streamline, Pathline
- Visualization of Flow Patterns: Streakline
- Streamline, Pathline: Steady Flow Example
- Streamline, Pathline, Streakline: Unsteady Flow Example
Week 2
- System and Control Volume
- Reynolds transport theorem : Introduction
- Reynolds transport theorem : Simplified form
- Reynolds transport theorem : General form - Part 1
- Reynolds transport theorem : General form - Part 2
- Integral and differential balances
- Integral total mass balance
- Integral total mass balance : Simplification
- Integral total mass balance : Examples
- Differential total mass balance - Part 1
- Differential total mass balance - Part 2
- Differential total mass balance : Examples Part 1
- Differential total mass balance : Examples Part 2
Week 3
- Integral linear momentum balance Part 1
- Integral linear momentum balance Part 2
- Integral linear momentum balance : Examples Part 1
- Integral linear momentum balance : Examples Part 2
- Integral linear momentum balance : Examples Part 3
- Differential linear momentum balance : Introduction
- Differential linear momentum balance : Transient, convection and body force terms
Week 4
- Stress vector - Part 1
- Stress vector - Part 2
- Stress tensor - Part 1
- Stress tensor - Part 2
- Cauchy's formula
- Components of Stress Vector : Example
- Properties of stress tensor - Part 1
- Properties of stress tensor - Part 2
- Total stress tensor for fluids
- Comparison of solids and fluids
- Fluids at rest
- Differential linear momentum balance : Surface force terms
- Differential linear momentum balance : All terms
- Convective momentum flux tensor
- Differential linear momentum balance : Closure problem
Week 5
- Normal Strain and Shear Strain - Part 1
- Normal Strain and Shear Strain - Part 2
- Displacement Field and Displacement Gradient - Part 1
- Displacement Field and Displacement Gradient - Part 2
- Strain Displacement Gradient Relation : Example
- Strain Displacement Gradient Relation : Normal and shear strain
- Strain Displacement Gradient Relation : Rotation and volumetric strain
- Strain Displacement Gradient Relation : Examples
- Displacement Gradient Tensor
- Components of Total Displacement - Part 1
- Components of Total Displacement - Part 2
- Strain Tensor and Rotation Tensor - Part 1
- Components of Total Displacement : Example
Week 6
- Normal and Shear Strain Rate
- Strain Rate Velocity Gradient Relation
- Volumetric Strain Rate
- Velocity Gradient Tenso
- Strain Rate : Example 1
- Strain Rate : Example 2
- Stress Strain Relation : Introduction
- Material Properties
- Hooke's Law - Strain-stress Relation
- Relation Between Material Properties
- Hooke's Law - Stress-strain Relation
- Hooke's Law : Examples
Week 7
- Stress Strain Rate Relation : Introduction
- Newton's Law of Viscosity : 1D Form
- Newton's Law of Viscosity : 3D Form
- Navier Stokes Equation
- Fluid at Rest : Pressure Distribution
- Hydrostatic Pressure Distribution in Liquid
- Hydrostatic Pressure Distribution in Gas
- Fluid in Rigid Body Motion : Pressure Distribution
- Flow Regimes : Laminar and Turbulent flow
- Euler Equation
- Bernoulli Equation : Inviscid Flow
- Bernoulli Equation : Example 1
- Bernoulli Equation : Irrotational Flow
- Bernoulli Equation : Example 2
Week 8
- Planar Couette Flow - Governing Equations
- Planar Couette Flow - Velocity and Pressure Distribution
- Planar Couette Flow - Shear Force
- Planar Poiseuille Flow : Governing Equations
- Planar Poiseuille Flow : Velocity and Pressure Distribution
- Planar Poiseuille Flow - Shear force
- Planar Poiseuille Flow : Shear Stress Distribution
- Viscous Stress vs. Molecular Momentum Flux Part 1
- Viscous Stress vs. Molecular Momentum Flux Part 2
- Linear Momentum Balance : Fluid Mechanics vs. Momentum Transport Part 1
- Linear Momentum Balance : Fluid Mechanics vs. Momentum Transport Part 2
- Viscous Stress vs. Molecular Momentum Flux Part 3
Week 9
- Integral Energy Balance - Part 1
- Integral Energy Balance - Part 2
- Simplification of Integral Energy Balance
- Integral Energy Balance : Examples
Week 10
- Differential Energy Balance : Introduction
- Differential Total Energy Balance - Part 1
- Differential Total Energy Balance - Part 2
- Differential Energy Balance - Part 1
- Differential Energy Balance - Part 2
- Differential Energy Balance - Part 3
- Fourier's Law of Heat Conduction
- Simplifications of Differential Energy Balance
- Heat Conduction in Slab
- Heat Conduction in Furnace Wall
- Non Isothermal Planar Couette Flow
Live Session
Syllabus and materials
At NPTEL, as the course publishes them.
Credits and licence
- Institution
- IIT Madras
- Department
- Chemical Engineering
- Teacher
- Prof. T. Renganathan
- Level
- Undergraduate
- Language
- English
- Subjects
- Chemistry, Engineering
- Source
- NPTEL
- Licence
- CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
- Attribution
- NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
- Who can watch
- NPTEL gives no rating. Invisible Network shows it to Tweens profiles and older, judged from what the source says about it. How courses are placed
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