Gasdynamics: Fundamentals and Applications

By Prof.Srisha Rao M V   |   IISc Bangalore
Learners enrolled: 204
In the previous century, humanity quickly moved from enabling mechanical flight to flying farther, higher, and faster. Now, humanity is endeavoring to explore and colonize other planets. Similarly, engineers are seeking to make compact and efficient systems in the domains of energy and power. All these scenarios and several more, including natural events like explosive volcanic eruptions, involve the high-speed Flow of gases. Speeds at which the compressible nature of gases becomes significant. In this course on the fundamentals and applications of gasdynamics, we shall understand and model the compressible flow phenomena of gases from first principles. We will discover the importance of Mach number (M), the ratio of the flow velocity to the speed of sound, in describing such flows. We will find a close coupling of thermodynamics and fluid dynamics. We shall encounter and explain counter-intuitive behavior as the flow Mach number changes from subsonic (M<1) to supersonic (M>1). These are wave-dominated flows. The shock wave is a particularly exciting phenomenon existing only in supersonic flows. We will learn about shock waves and their interactions, and means of producing them in a controlled manner in the laboratory. The understanding of gasdynamics gained will be applied to design and analyze typical engineering systems like nozzles, diffusers, intakes, shock tubes, wind tunnels, pipe flows, to name a few. Flow visualizations taken in the unique high-speed experimental facilities at the Indian Institute of Science will enable deeper insights. Special topics on hypersonic flows and shock wave boundary layer interactions will be introduced towards the end of the course.
This is an elective course suitable at advanced undergraduate or postgraduate levels. Participants must have undergone a basic course in fluid dynamics and thermodynamics and must be familiar with the solution of ordinary differential equations and partial differential equations.
The assignments and final exam shall be conducted online. Typical numerical examples will be discussed in the lectures, and practice problems will be supplied. Assignments will be of an applied nature where some problems must be solved using simple numerical techniques on the computer. Tests will involve both conceptual and numerical type questions.

Engineering students of Aerospace, Mechanical, Chemical, Applied Mechanics can take this course. Students of Physical sciences also can take the course.
PREREQUISITES : Fluid Dynamics, Thermodynamics, Solution of ODE and PDE, Basic numerical techniques.
INDUSTRIES  SUPPORT     : ISRO, DRDO, HAL, Brahmos Aerospace, Bharath Dynamics, Triveni Turbines, Bellatrix Aerospace
Course Status : Upcoming
Course Type : Elective
Duration : 12 weeks
Start Date : 24 Jan 2022
End Date : 15 Apr 2022
Exam Date : 23 Apr 2022 IST
Category :
  • Aerospace Engineering
Credit Points : 3
Level : Undergraduate/Postgraduate

Course layout

Week 1:Introduction (Why study gasdynamics, Mach number, and flow regimes)
     Thermodynamics (Review of basics, Calorifically perfect gas, and Thermally perfect gas) (2 Lectures)
Week 2:Flow Equations (Integral forms and Differential forms)
     Quasi-1D Flow (The quasi-1D approximation, speed of sound)
     Isentropic Flow (Stagnation properties and Star properties, Compressible Pitot )
Week 3: Normal Shock Wave (principle and derivation of flow properties across the normal shock, Rayleigh Pitot formula)
       Moving Shock Wave and its Reflection
Week 4:Unsteady 1D flow and the shock tube
      Oblique Shock Wave
       Prandtl Meyer Expansion (Shock-expansion analysis of diamond airfoil)
Week 5:Compressible flow through variable area ducts (choking phenomena, normal shock in supersonic flow) 2 Lectures
      Nozzle flow and Operating points (underxpanded and overexpanded flow)
Week 6:Diffuser flow and flow starting
     High-speed wind-tunnel operation
     High-speed air intakes and their characteristics
Week 7: One Dimensional Flow with Friction Fanno flow (2 Lectures)
Week 8:One Dimensional Flow with Heat Addition Rayleigh flow (2 Lectures)
Week 9:Generalized Quasi-1D Flow (a typical example of nozzle flow with friction, and heat release in variable area duct) (2 lectures)
      Velocity Potential Equation for compressible flow (1 lecture)
Week 10:Small perturbation theory and applications (2 Lectures)
        Method of Characteristics (MOC) for Steady Supersonic Flows
Week 11: Design of supersonic nozzle contour using MOC
Week 12:Introduction to Shock-wave boundary layer interaction (Special topic)
        Introduction to Hypersonic flow (Special topic)

Books and references

Modern compressible flow John D Anderson Fundamentals of Gas Dynamics, Robert D Zucker and Oscar Biblarz
Gas Dynamics Volume 1, Maurice J Zucrow and Joe D Hoffman Gas Dynamics, E Rathakrishnan

Instructor bio

Prof.Srisha Rao M V

IISc Bangalore
Srisha Rao M V is currently an Assistant Professor at the Department of Aerospace Engineering, Indian Institute of Science, Bengaluru. He completed his ME and Ph.D. from the Indian Institute of Science and has done post-doctoral research in Muroran Institute of Technology, Japan. His research interests lie in supersonic and hypersonic flows, experimental high-speed aerodynamics, optical flow diagnostics, and data analytic techniques. He has designed and established several unique testing facilities such as the supersonic ejector test facility, high-speed gaseous mixing test facility, and the nozzle-isolator interaction test facility. Recently, he has worked on image analytics for unsteady flow analysis and start-unstart characterization of hypersonic intakes. He has been teaching the Gasdynamics course at IISc for the past three years and has taught courses on Aerodynamics test facilities, and Experimental Techniques. He has over 19 journal articles, a book chapter, and over 40 conference publications. He has given invited lectures on supersonic mixing and its enhancement techniques at platforms like the National Symposium on Shock Waves, Propulsion Seminar Series (VSSC, ISRO), and in international forums – 1st symposium on Hypersonics (KIAST, South Korea).

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: 23 April 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 IISc Bangalore.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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