Ideal fluid flows using complex analysis

By Prof. Amit Gupta   |   IIT Delhi
Learners enrolled: 78
The course is meant to impart competence in modelling engineering problems using principles of ideal or potential fluid flows, obtaining analytical solutions and deducing engineering design parameters. The course will focus on the use of complex analysis and highlight it as a classical and a much easier approach to obtain solutions using flow superposition.

INTENDED AUDIENCE: Senior undergraduate and post-graduate students

PREREQUISITES: Basic course on fluid mechanics
Course Status : Upcoming
Course Type : Core
Duration : 4 weeks
Start Date : 20 Feb 2023
End Date : 17 Mar 2023
Exam Date : 30 Apr 2023 IST
Enrollment Ends : 20 Feb 2023
Category :
  • Mechanical Engineering
Credit Points : 1
Level : Postgraduate

Page Visits

Course layout

Week 1: Introduction to ideal flows, velocity potential and stream function, complex variables and analytic functions, Complex potential and velocity.
Week 2: Use of complex potentials in developing elementary flows-uniform flow, source and sink, vortex flow, flow in a sector, flow around a sharp edge, Superposition of complex potentials for flow due to a doublet.
Week 3: Use of superposition to obtain flow around a cylinder without and with circulation, source and uniform flow, calculation of force for flow around a circular cylinder with circulation.
Week 4: Generalized derivation for forces on a 2D body, first theorem of Blasius, KuttaZhukhovsky law, Conformal transformations.

Books and references

Fundamental mechanics of fluids by I.G. Currie, 3rd edition Fluid Mechanics by P.K. Kundu, I.M. Cohen and D.R. Dowling, 6th ed.

Instructor bio

Prof. Amit Gupta

IIT Delhi
Prof. Amit Gupta is currently working as a Professor and holds the NTPC Chair position in the Department of Mechanical Engineering, IIT Delhi. Prior to joining IIT Delhi, he worked as post-doctoral research fellow at the GM/UM Advanced Battery Coalition for Drivetrains (ABCD), University of Michigan (UM), Ann Arbor. He received his M.S.and Ph.D.at the University of Central Florida (UCF) in 2007 and 2009 respectively, and B.Tech. from IIT Delhi in 2004. His research is directed towards Energy Storage, Microfluidics and Flapping Wing Aerodynamics

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: 30 April 2023 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 3 assignments out of the total 4 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 Madras. 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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