Computational Fluid Dynamics and Heat Transfer

By Prof. Gautam Biswas   |   IIT Kanpur
Learners enrolled: 1233
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.

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

INDUSTRIES  SUPPORT     : DRDO Labs, Some CSIR Labs, BHEL, Thermax, GE etc
Course Status : Completed
Course Type : Elective
Duration : 12 weeks
Category :
  • Mechanical Engineering
  • Computational Thermo Fluids
Credit Points : 3
Level : Undergraduate/Postgraduate
Start Date : 25 Jul 2022
End Date : 14 Oct 2022
Enrollment Ends : 08 Aug 2022
Exam Date : 29 Oct 2022 IST

Note: This exam date is subjected to change based on seat availability. You can check final exam date on your hall ticket.

Page Visits

Course layout

Week 1: Introduction about the Course; Finite Difference Method (preliminaries); Explicit, Implicit, ADI Formulation

Week 2: Stability Analysis; Conservative and Transportive Properties

Week 3: Upwinding, Artificial Viscosity, Second Upwind; Higher order Upwinding and some Important Issues

Week 4: Applications of Knowledge and Setting up an Algorithm; Finite Volume Method (FVM-preliminary concepts)

Week 5: FVM-Equations with First Derivatives; FVM-Equations with Second Derivatives

Week 6: Finite Element Method (FEM-Preliminary Concepts); FEM-Galerkin Weighted Residual Method

Week 7: FEM-Elemental contributions and formation of Global Matrix; Vorticity Stream Function Approach (Formulation and Algorithm)

Week 8: Vorticity Stream Function Approach (Application to Curvilinear Geometry); SIMPLE Algorithm (Continuity and Momentum Equations)

Week 9: SIMPLE Algorithm (Momentum Equations and Pressure Solver); MAC Algorithm (The MAC Method and Discretization of the Equations); MAC Algorithm (Pressure - Velocity Iteration and the Solution)

Week 10: MAC Algorithm (Solution of Energy Equation); A Finite Volume Method to solve NS Equations in 3D Complex Geometry (Part-1); A Finite Volume Method to solve NS Equations in 3D Complex Geometry (Part-2)

Week 11: A Finite Volume Method to solve NS Equations in 3D Complex Geometry (Part-3); Turbulent Flow and Heat Transfer (preliminaries); Prandtl's mixing length and universal velocity profile

Week 12: Mathematical Approaches to Turbulent Flows-1; Mathematical Approaches to Turbulent Flows-2; Advanced RANS Models; Large Eddy Simulation (LES) of Turbulence

Books and references

  1. Computational Technique for Fluid Dynamics, Vol. 1 and Vol. 2 CAJ Fletcher, Springer Verlag.
  2. Computational Fluid Mechanics and Heat Transfer, D. A, Anderson, J. C. Tannehill and R. H. Pletcher, CRC Press (Taylor and Francis)
  3. Numerical Heat Transfer and Fluid Flow, S V Patankar, Hemisphere Publishing
  4. Computational Fluid Dynamics, G. Biswas and S. Mukherjee, Narosa Publishing House

Instructor bio

Prof. Gautam Biswas

IIT Kanpur
Dr. Gautam Biswas is presently a Professor of Mechanical Engineering at the Indian Institute of Technology Kanpur. Earlier, he has been the Director of Indian Institute of Technology Guwahati, and Director of the CSIR-Central Mechanical Engineering Research Institute at Durgapur. He was the G.D. and V.M. Mehta Endowed Chair Professor, and Dean of academic affairs at IIT Kanpur. The research group of Professor Biswas at IIT Kanpur identified the phenomenon of Rayleigh-Taylor Instability during the bubble formation in film boiling. This was a significant addition to the classical theory, based on Taylor Helmholtz instability. Another seminal contribution of his group is identification of zone of large bubble entrapment and underlying physics during the complete coalescence of a falling drop on a liquid surface. Professor Biswas is the author of more than 150 publications in the International Journals. He has completed guidance of 23 PhD theses.He was a Humboldt Fellow in Germany in 1987-88 and JSPS invited fellow in Japan 1994. He is a Fellow of the American Society of Mechanical Engineers (ASME). He has served a full term as the Associate Editor of the Journal of Heat Transfer (Trans ASME). He was a Guest Professor at the University of Erlangen-Nuremberg in 2002. Currently he is Associate Editor of a well-known CFD-Journal, - Computer and Fluids.Prof Gautam Biswas is a Fellow of the all three major Science Academies of India, such as, the Indian National Science Academy (INSA), New Delhi, the Indian Academy of Sciences (IAS, Bangalore) and the National Academy of Sciences India (NASI, Allahabad). He is a Fellow of the Indian National Academy of Engineering (INAE) and Institution of Engineers India (IEI). He has been awarded the esteemed J.C. Bose National Fellowship by the Department of Science and Technology, New Delhi in 2011. Prof. Biswas was bestowed with Distinguished Alumnus Award by BESU (now IIEST, Shibpur) in the year 2013. He has been awarded the Distinguished Alumnus Award by the Indian Institute of Technology Kharagpur in 2016. Prof. Biswas was conferred Honorary Doctorate (Honoris Causa) by National Institute of Technology Agartala, India, in 2017. He has been conferred Honorary Doctorate by the Aristotle University of Thessaloniki, Greece, in 2018.

Course certificate

The course is free to enroll and learn from. But if you want a certificate, you have to register and write the proctored exam conducted by us in person at any of the designated exam centres.
The exam is optional for a fee of Rs 1000/- (Rupees one thousand only).
Date and Time of Exams: 29 October 2022 Morning session 9am to 12 noon; Afternoon Session 2pm to 5pm.
Registration url: Announcements will be made when the registration form is open for registrations.
The online registration form has to be filled and the certification exam fee needs to be paid. More details will be made available when the exam registration form is published. If there are any changes, it will be mentioned then.
Please check the form for more details on the cities where the exams will be held, the conditions you agree to when you fill the form etc.


Average assignment score = 25% of average of best 8 assignments out of the total 12 assignments given in the course.
Exam score = 75% of the proctored certification exam score out of 100

Final score = Average assignment score + Exam score

YOU WILL BE ELIGIBLE FOR A CERTIFICATE ONLY IF AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75. If one of the 2 criteria is not met, you will not get the certificate even if the Final score >= 40/100.

Certificate will have your name, photograph and the score in the final exam with the breakup.It will have the logos of NPTEL and IIT Kanpur. It will be e-verifiable at nptel.ac.in/noc.

Only the e-certificate will be made available. Hard copies will not be dispatched.

Once again, thanks for your interest in our online courses and certification. Happy learning.

- NPTEL team

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