Course11210430230 lectures
Computational Fluid Dynamics and Heat Transfer
Prof. Gautam Biswas · IIT Kanpur
About
This course is an effort to cover a range of topics, - from elementary concepts for the uninitiated students to state-of-the-art algorithms useful for the practitioners. The contents begin with preliminaries, in which the basic principles and techniques of finite difference (FD), finite volume (FV) and finite element (FE) methods are described using detailed mathematical treatment. The methodologies are explained using step-by-step calculations. The popular CFD solvers, such as SIMPLE and MAC have been discussed in a detailed manner so that the learners can handle such programming paradigms with confidence. Some fundamental mathematical aspects of turbulent flows have been explained to enable the learners modeling the complex turbulent flows and associated heat transfer.
INTENDED AUDIENCE : BTech (UG) in Mechanical. Chemical and Aerospace; MSc in Mathematics; MTech (PG) in Mechanical (Fluids and Thermal), MTech in Aerospace Engineering
PREREQUISITES : First and Second year Mathematics Courses. The basic core course in Fluid Mechanics and a basic core course in Heat Transfer
Lectures
Week 1
- Lecture 01: Historical Perspectives and Introduction to the Course
- Lecture 02: Finite Difference Method - Basic Idea of Discretization
- Lecture 03: Explicit and Implicit Formulations, Stability Analysis Part 1
Week 2
Week 3
- Lecture 6: Important Aspects of Flow Modelling Part 2
- Lecture 7: Important Aspects of Flow Modelling Part 3
Week 4
- Lecture 8: Applications of Our Knowledge to a Problem of Practical Interest and Setting up an Algorithm
- Lecture 9: Finite Volume Method Part 1
Week 5
Week 6
- Lecture 12: Introduction to Finite Element Method (Preliminary Concepts)
- Lecture 13: Introduction to Finite Elelment Method (Galerkin Weighted Residual Method)
Week 7
- Lecture 14 : Introduction to Finite element Method (Elemental contributions and formation of Global Matrix)
- Lecture 15: Vorticity Stream Function Approach (Formulation and Algorithm)
- Lecture 16: Vorticity-Stream Function Approach For Solving Navier-Stokes Equations
Week 8
- Lecture 17: Solving Navier-Stokes Equations For Incompressible Flows using SIMPLE Algorithm Part 1
- Lecture 18: Solving Navier-Stokes Equations For Incompressible Flows using SIMPLE Algorithm Part 2
Week 9
- Lecture 19: Solving Navier-Stokes Equations For Incompressible Flows using MAC Algorithm
- Lecture 20: MAC Algorithm (Pressure - Velocity Iteration and the Solution)
- Lecture 21: MAC Algorithm (Solution of Energy Equation)
Week 10
- Lecture 22: A Finite Volume Method to solve NS Equations in 3D Complex Geometry Part 1
- Lecture 23: A Finite Volume Method to solve NS Equations in 3D Complex Geometry Part 2
- Lecture 24: A Finite Volume Method to solve NS Equations in 3D Complex Geometry Part 3
Week 11
- Lecture 25: Turbulent Flow and Heat Transfer (preliminaries)
- Lecture 26: Prandtl's Mixing Length and Universal Velocity Profile
- Lecture 27: Mathematical Approach to Turbulent Flow-1
Week 12
Syllabus and materials
At NPTEL, as the course publishes them.
Credits and licence
- Institution
- IIT Kanpur
- Department
- Mechanical Engineering
- Teacher
- Prof. Gautam Biswas
- 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
- 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