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Course11310409755 lectures

Diffusion in Multicomponent Solids

Prof. Kaustubh Kulkarni · IIT Kanpur

Start with lecture 1 At NPTEL

Lectures

Week - 1

  1. Lecture 01: Introduction to the Course and Thermodynamics Refresher Video
  2. Lecture 02: The Second law of Thermodynamics Video
  3. Lecture 03: Application of Second law and Illustration of Intermixing as Irreversible Process Video
  4. Lecture 04: Equilibrium, Stability and Phase Diagrams in Single Component Systems Video
  5. Lecture 05: Third Law of Thermodynamics and Numerical Examples Video

Week - 2

  1. Lecture 06: Thermodynamic Activity and Gibbs Free Energy of Mixing Video
  2. Lecture 07: Entropy of mixing of Multicomponent Ideal Solution Video
  3. Lecture 08: Regular Solution Model: Application to Ternary System Video
  4. Lecture 09: Gibbs Free EnergyComposition Curves, Phase Diagrams and Gibbs Phase rule Video

Week - 3

  1. Lecture 10: Exercise: Solution Thermodynamics Video
  2. Lecture 11: Driving force for Diffusion, Chemical Potentials and Concentrations Video
  3. Lecture 12: Diffusion flux and Frames of Reference Video
  4. Lecture 13: Fick’s Law Video
  5. Lecture 14: Exercise: Deriving Sigma Cosine for any Cubic Lattice Video

Week - 4

  1. Lecture 15: Fick's Law for Multicomponent Diffusion Video
  2. Lecture 16: Diffusion Equation and Solution to Steady State Diffusion Video
  3. Lecture 17: Conversion of Set of Interdiffusion Coefficients from One Dependent Compared to Another Video
  4. Lecture 18: Refresher on Laplace Transform Video
  5. Lecture 19: Error Function and Its Laplace transform Video

Week - 5

  1. Lecture 20: Instantaneous Planar Source: Solution to Diffusion Equation and Its Applications Video
  2. Lecture 21: Solution to Diffusion Equation for SemiInfinite Slab and Its Application in Carburizing of Steel Video
  3. Lecture 22: Solution to Diffusion Equation for Binary Diffusion Couple Video
  4. Lecture 23: Solution to Diffusion Equation for Multicomponent Diffusion Couple Video

Week - 6

  1. Lecture 24: Nature of Concentration Profiles in Binary and Multicomponent Diffusion Couples Video
  2. Lecture 25: Numerical Problems Video
  3. Lecture 26: Homogenization of Multicomponent alloys Video
  4. Lecture 27: Solution to Diffusion Equation: Periodic Boundary Conditions Video

Week - 7

  1. Lecture 28: Energetics of Vacancy Formation Video
  2. Lecture 29: Experimental Determination of Enthalpy of Vacancy Formation Video
  3. Lecture 30: Mechanisms of Diffusion in Metals and Alloys Video
  4. Lecture 31: Point Defects in Intermetallics and Ionic Compounds Video
  5. Lecture 32: Diffusion Mechanisms in Intermetallics Video

Week - 8

  1. Lecture 33: Theory of Random Walk: Mean Squared Displacement Video
  2. Lecture 34: Physical Significance of Diffusivity: EinsteinSmoluchowski Equation Video
  3. Lecture 35: Derivation of Correlation Factors in Cubic Crystals by Vacancy Mechanism Video
  4. Lecture 36: Correlation Factors for Substitutional Diffusion by Vacancy Mechanism in FCC Crystal Video
  5. Lecture 37: Correlation Effects in BCC and Diamond Cubic for Vacancy Mechanism Video

Week - 9

  1. Lecture 38: Practice Problems Video
  2. Lecture 39: Deriving Relation Between Diffusion Flux and Chemical Potential Gradients Video
  3. Lecture 40: Atomic Mobility, Diffusivity and Diffusion Under External Driving Force Video
  4. Lecture 41: NonIdeality as Driving Force Video

Week-10 Lectures Important correction

  1. Lecture 42: Theory of diffusion Video
  2. Lecture 43: Experimental Determination of Interdiffusion Coefficients: Boltzmann Matano Analysis Video
  3. Lecture 44: Analysis of Interdiffusion Fluxes in Multicomponent Diffusion Couples Video
  4. Lecture 45 : Various Techniques for Experimental Determination of Multicomponent Interdiffusion Coefficients Video
  5. Lecture 46: Experiement Determination of Interdiffusion Coefficients: Examples from Literature Video

week-11

  1. Lecture 47: Intrinsic Diffusion and Kirkendall Effect Video
  2. Lecture 48: Experiemental Determination of Intrinsic Diffusion Coefficients Video
  3. Lecture49: A Brief Introduction to Ternary Phase Diagram Video
  4. Lecture 50: Multiphase Diffusion: Diffusion Paths and Diffusion Structures Video
  5. Lecture 51: Interdiffusion Analysis of Multiphase Diffusion Couples Video

week-12

  1. Lecture 52 Short Circuit Diffusion Paths Video
  2. Lecture 53 Fisher’s Model for Grain Boundary Diffusion Video
  3. Lecture 54 Harrison’s Regimes for Grain Boundary Diffusion Kinetics Video

Live Session

  1. Live Session 16-04-2020 Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Kanpur
Department
Metallurgy and Material Science
Teacher
Prof. Kaustubh Kulkarni
Level
Undergraduate
Language
English
Subjects
Engineering
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
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