NDLI: Module 8 - Lecture 34 : Diffusion equation: Error function solution II - Transcript [English]

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Module 1 - Lecture 1 : Solution models - Transcript

Module 1 - Lecture 2 : Summary of solution models - Transcript

Module 1 - Lecture 3 : G vs X diagrams - Transcript

Module 1 - Lecture 4 : Phase diagrams - Transcript

Module 1 - Lecture 5 : Bond breaking model - Transcript

Module 2 - Lecture 6 : Chemical potential - Transcript

Module 1 - Tutorial 1 - Transcript

Module 1 - Tutorial 2 - Transcript

Module 1 - Tutorial 3 - Transcript

Module 1 - Tutorial 4 - Transcript

Module 1 - Tutorial 5 - Transcript

Module 2 - Tutorial 6 - Transcript

Module 2 - Lecture 7 : Diffusion and chemical potential - Transcript

Module 2 - Lecture 8 : Fick's law - Transcript

Module 2 - Lecture 9 : Failure of classical diffusion equation - Transcript

Module 2 - Lecture 10 : Some references - Transcript

Module 3 - Lecture 11 : Spinodal decomposition - some history - Transcript

Module 3 - Lecture 12 : Spinodal decomposition - Transcript

Module 3 - Lecture 13 : Stability - Transcript

Module 3 - Lecture 14 : Thermodynamic property : composition dependence - Transcript

Module 3 - Lecture 15 : Regions of stability - Transcript

Module 3 - Lecture 16 : Understanding spinodal region - Transcript

Module 2 - Tutorial 7 - Transcript

Module 4 - Lecture 17 : Solution to classical diffusion equation - Transcript

Module 4 - Lecture 18 : Diffusion and mobility I - Transcript

Module 4 - Lecture 19 : Diffusion and mobility II - Transcript

Module 4 - Lecture 20 : Failure of classical diffusion equation - Transcript

Module 4 - Lecture 21 : Non-classical diffusion equation - Transcript

Module 5 - Lecture 22 : GNU Octave : Introduction - Transcript

Module 5 - Lecture 23 : GNU Octave : interactive mode - Transcript

Module 5 - Lecture 24 : GNU Octave : script mode - Transcript

Module 6 - Lecture 25 : Ideal solution using octave - Transcript

Module 6 - Lecture 26 : Regular solution using octave - Transcript

Module 6 - Lecture 27 : Constructing phase diagram - Transcript

Module 6 - Lecture 28 : Plotting spinodal - Transcript

Module 7 - Lecture 29 : Non-dimensionalisation of diffusion equation - Transcript

Module 7 - Lecture 30 : Diffusion and Fourier law of heat conduction - Transcript

Module 8 - Lectures 31 : Diffusion equation : Analytical solution I - Transcript

Module 8 - Lectures 32 : Diffusion equation : Analytical solution II - Transcript

Module 8 - Lectures 33 : Diffusion equation : Error function solution I - Transcript

Module 8 - Lecture 34 : Diffusion equation: Error function solution II - Transcript

Module 9 - Lecture 35 : Diffusion equation : finite difference method - Transcript

Module 9 - Lecture 36 : Diffusion equation : zero flux BC and explicit method - Transcript

Module 9 - Lecture 37 : Diffusion equation : zero flux BC and implicit method - Transcript

Module 9 - Lecture 38 : Diffusion equation : imposed concentration BC and explicit/implicit methods - Transcript

Module 10 - Lecture 39 : Periodic boundary conditions (PBC) - Transcript

Module 10 - Lecture 40 : Expicit method with PBC - Transcript

Module 10 - Lecture 41 : Spectral Techniques I - Transcript

Module 10 - Lecture 42 : Spectral Techniques II - Transcript

Module 10 - Lecture 43 : Implicit spectral method - Transcript

Module 11 - Lecture 44 : Scalars, vectors and tensors - Transcript

Module 11 - Lecture 45 : Coordinate transformation - Transcript

Module 11 - Lecture 46 : Transformation laws - Transcript

Module 11 - Lecture 47 : II rank tensors and Neumann principle - Transcript

Module 12 - Lecture 48 : Group theory - Transcript

Module 12 - Lecture 49 : Crystal: symmetry elements I - Transcript

Module 12 - Lecture 50 : Crystal: symmetry elements II - Transcript

Module 12 - Lecture 51 : Understanding Neumann's principle - Transcript

Module 12 - Lecture 52 : Representation quadric - Transcript

Module 13 - Lecture 53 : Variational calculus - Transcript

Module 13 - Lecture 54 : Optimization of functionals I - Transcript

Module 13 - Lecture 55 : Optimization of functional II - Transcript

Module 13 - Lecture 56 : Variational derivative - Transcript

Module 13 - Lecture 57 : Free energy functional - Transcript

Module 14 - Lecture 58 : Derivation of Cahn-Hilliard (CH) equation I - Transcript

Module 14 - Lecture 59 : Derivation of Cahn-Hilliard (CH) equation II - Transcript

Module 14 - Lecture 60 : Free energy versus concentration curves - Transcript

Module 14 - Lecture 61 : Diffusion equation versus CH - Transcript

Module 15 - Lecture 62 : Numerical solution of CH: finite difference - Transcript

Module 15 - Lecture 63 : Numerical solution of CH: spectral method - Transcript

Module 16 - Lecture 64 : Interfacial energy in CH - Transcript

Module 16 - Lecture 65 : CH: analytical solution - Transcript

Module 16 - Lecture 66 : Interfacial energy in CH: analytical calculation - Transcript

Module 16 - Lecture 67 : Interfacial energy: numerical versus analytical values - Transcript

Module 17 - Lecture 68 : Order-disorder transition and Allen-Cahn equation - Transcript

Module 17 - Lecture 69 : AC: numerical solution - Transcript

Module 18 - Lecture 70 : Spinodal decomposition in 2D - Transcript

Module 18 - Lecture 71 : Order-disorder transformation - Transcript

Module 18 - Lecture 72 : Gibbs Thomson effect - Transcript

Module 18 - Lecture 73 : Grain growth - Transcript

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Phase Transformations and Heat Treatment

Physics of Materials

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Module 8 - Lecture 34 : Diffusion equation: Error function solution II - Transcript [English]

Content Provider	NPTEL
Author	Gururajan, M. P.
Organization	IIT Bombay
Abstract	This course in a tutorial introduction to phase field modelling. Phase field models are used to model microstructure evolution in a wide variety of systems such as solidification, solid-solid phase transformations and deformation induced microstructural evolution. In this course, we will primarily concentrate on modelling solid-solid transformations using phase field models. In this course, we will discuss the materials science, mathematical and computational aspects of phase field modelling. Specifically, the computations will be carried out using GNU Octave, a freeware for scientific computations.
Unique ID	113101072
Language	English
Access Restriction	Open
Subject Keyword	Post Graduate Course Under Graduate Course Higher Education Remote Studies Web Resources Web Course Undergraduate/Post Graduate Engineering Course Lectures Basic Science Course Lecture Undergraduate Engineering Course Engineering Video Course Engineering Course Content Course Assignments Transcripted Engineering Video Course NPTEL Course Content Post Graduate Engineering Course Self-learning Engineering Course Engineering Course e-content Online Engineering Course Content Open Online Engineering Course UG Engineering Course Engineering Course Lectures PG Engineering Course Lectures UG Engineering Course Lectures PG Engineering Course Learning Video Course Course-based Video Lecture Lecture Notes Video Lecture Courseware Metallurgy and Material Science
Content Type	Text
Educational Use	Self Learning Research
Resource Type	Course Material
Education Level	Under Graduate Post Graduate
Subject	Natural sciences & mathematics Metallurgy

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