Swayam Central

Fundamentals of Compressible Flow

By Prof. Niranjan Sahoo   |   IIT Guwahati
Gas Dynamics is a topic of fundamental interest to Mechanical and Aerospace engineers that provides a link between core subjects i.e. “Fluid Mechanics and Thermodynamics”. It pertains the basic theory of compressible flow, formation of shock waves and expansion waves, nozzle flows. The treatment of the syllabus becomes the backbone of aerodynamic engineers towards research in the design of high-speed vehicles. The contents of the course starts with fluid and thermodynamic fundamentals followed by governing theories of compressible flow phenomena. Many aerodynamic high-speed facilities and their measurement diagnostics governed by these theories, are also covered in this course.

Undergraduate and Postgraduate students of Mechanical and Aerospace Engineering; Faculty member associated with Mechanical/Aerospace Streams; Practicing engineers and Scientists in Aeronautics and Space Technology
PREREQUISITES : Fundamentals of “Fluid Mechanics and Thermodynamics”
INDUSTRIES  SUPPORT : Practicing Engineers, Scientists in Aeronautics and Space Technology, Researchers working in the area of “Compressible Flow” will be benefited from this course.

Learners enrolled: 367


Course Status : Upcoming
Course Type : Core
Duration : 8 weeks
Start Date : 20 Jul 2020
End Date : 11 Sep 2020
Exam Date : 27 Sep 2020
Enrollment Ends : 27 Jul 2020
Category :
  • Mechanical Engineering
  • Computational Thermo Fluids
  • Computational Engineering
  • Level : Undergraduate/Postgraduate
    This is an AICTE approved FDP course


    Week 1: Review Concepts of Fluid Mechanics and Thermodynamics:Introduction to fluids, Concepts of continuum, Forces acting on the fluid, Description of fluid motion, Kinematic properties of fluid, Review and fundamental aspects of Thermodynamics
    Week 2: Wave Propagation in Compressible Medium: Introduction to compressible flow, Governing equations for one dimensional flow, Acoustic speed and Mach number, Stagnation and characteristics properties, Flow Regimes, Mach waves, Pressure disturbances in compressible fluid, Development of compression and expansion waves
    Week 3: Quasi-One Dimensional Isentropic Flow:Governing Equations, Area-velocity relation and isentropic flow through variable area ducts, Concepts of nozzle and diffuser for compressible flow, Convergent-Divergent nozzle, Subsonic flow in a convergent-divergent nozzle
    Week 4: Normal Shock Waves: One-dimensional equations for stationary normal shock, Entropy change across a normal shock, Crocco’s Theorem, Hugoniot equation, Moving normal shock and reflected shock waves
    Week 5: Expansion Waves and Oblique Shocks: Two-dimensional waves, Flow equations for Prandtl-Meyer expansion fan, Equation of motion for straight oblique shock wave, Oblique shock relations, Concepts of attached and detached shock waves
    Week 6: Interaction of Shocks and Expansion Waves: Reflection and interaction of shocks and expansion wave; Supersonic flow in converging-diverging nozzle
    Week 7: Compressible Flow with Friction and Heat Transfer: Flow in a constant area duct with friction, Fanno line flow and its working relations, Flow with heating and cooling in a constant area duct, Rayleigh flow and its working relations
    Week 8: Measurement Diagnostics and Experimental Facilitates for Compressible Flow: Pressure and temperature measurements, Concepts of flow visualization, Introduction to high speed wind tunnels, shock tubes and shock tunnels


    1. John D. Anderson Jr (1990), Modern Compressible Flow with Historical Perspective, McGraw-Hill, Singapore
    2. J. John and T. Keith (2010), Gas Dynamics. 3RD Edition, Pearson, New Delhi
    3. E. Rathakrishnan (2012), Gas Dynamics, 4TH Edition, PHI Learning Private Limited, New Delhi
    4.Robert D. Zucker and Oscar Biblarz (2002) Fundamentals of Gas Dynamics, Hohn Wiley and Sons Inc, New Jersy, USA


    Prof. Niranjan Sahoo

    IIT Guwahati
    Dr. Niranjan Sahoo is affiliated as “Professor” in the Department of Mechanical Engineering, Indian Institute of Technology Guwahati. Having B. Tech Degree in Mechanical Engineering, he has received PhD Degree (in the year 2004) from Department of Aerospace Engineering, Indian Institute of Science Bangalore. Till May 2020, he has 15 years of teaching and research experience at different capacity in Department of Mechanical Engineering, Indian Institute of Technology Guwahati. He has taught several courses at undergraduate and postgraduate level in the area of Fluid and Thermal Engineering, such as Fluid Mechanics, Basic and Applied Thermodynamics, Heat and Mass Transfer, Refrigeration and Air Conditioning, Combustion, Gas Dynamics and Aircraft Propulsion. Besides, he has developed interdisciplinary courses under NPTEL platform, participated in virtual laboratory courses and organized TEQIP Short Term Courses with respect to National mission projects apart from several sponsored research projects. He has more than 100 research publications in peer reviewed journals and conferences. Until date, he has achieved 13 PhD guidance with ongoing research scholars of similar number.


    •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: 27 September, 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 6 assignments out of the total 8 assignments given in the course.
    • Exam score = 75% of the proctored certification exam score out of 100
    •Final score = Average assignment score + Exam score

    •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 Guwahati. It will be e-verifiable at nptel.ac.in/noc
    •Only the e-certificate will be made available. Hard copies will not be dispatched.