National Institute of Technology Rourkela

राष्ट्रीय प्रौद्योगिकी संस्थान राउरकेला

ଜାତୀୟ ପ୍ରଯୁକ୍ତି ପ୍ରତିଷ୍ଠାନ ରାଉରକେଲା

An Institute of National Importance

Syllabus

Course Details

Subject {L-T-P / C} : ME6336 : Gas Dynamics and Free Molecular Flow { 3-0-0 / 3}

Subject Nature : Theory

Coordinator : Dr. Suman Ghosh

Syllabus

Compressible Flow–Fundamentals: Compressibility effect, Brief Review of the thermodynamic Gases, Ideal and real gas, TPG, CPG, Compressibility factor, Evaluation of change of entropy for TPG & CPG, Isentropic relations, Molecular theory of gases, Kinetic or dynamic theory of gas, Statistical thermodynamics for gas, Intermolecular interaction in gas, Van der Waals Equation, Energy and momentum equations for compressible fluid flows, Wave propagation in compressible media, velocity of sound, critical states, Mach number, types of waves, Mach cone, Mach angle, Mach wave, Shock wave, effect of Mach number on compressibility One Dimensional Compressible Flow through Variable Area Ducts: Reference velocities, stagnation state, Isentropic flow through variable area ducts, T-s and h-s diagrams for nozzle and diffuser flows, area ratio as a function of Mach number, mass flow rate through nozzles and diffusers, effect of friction in flow through nozzles Flow Through Constant Area Ducts with Friction: Fanno curves and Fanno flow equation, variation of flow properties, variation of flow properties and variation of Mach number with duct length. Isothermal flow with friction in constant area ducts Flow through Constant Area Ducts with Heat Transfer: Flow in constant area ducts with heat transfer (Rayleigh flow), Rayleigh line and Rayleigh flow equation, variation of flow properties in Rayleigh flow, maximum heat transfer in Reyleigh flow Normal Shock: Stationary normal shock waves, Governing equations, normal shock wave relations in terms of Mach number, variation of flow parameters like static pressure, static temperature, density, stagnation pressure and entropy across the normal shock, Prandtl - Meyer equation, impossibility of shock in subsonic flows, flow in convergent and divergent nozzle with shock, normal shock in Fanno and Rayleigh flows, flow with oblique shock (elementary treatment only) Oblique Shock Wave Analysis: Oblique shock wave relations, reflection of oblique shock waves, interaction of oblique shock waves, conical shock waves

Course Objectives

  • • To understand the basic difference between incompressible and compressible flow.
  • • To study the phenomenon of shock waves and its effect on flow.
  • • To gain the Gas dynamics theory and their applications.

Course Outcomes

1. The students will have a clear understanding and firm grasp of the basic principles of Gas dynamics. <br />2. The students will have creative thinking and a deeper understanding and intuitive feel for Gas dynamics and compressible flow theory. <br />3. The students will have basic understanding of the underlying principles of the technology pertinent to the theory and design of devices with compressible flow. <br />4. The student will be aware of the basic principles and its application in aviation industry.

Essential Reading

  • H. W. Liepmann, and A. Roshko, Elements of Gas Dynamics, Dover Pub
  • Yahya. S.M., Fundamental of Compressible Flow, New Age International (p) Ltd., New Delhi

Supplementary Reading

  • P. H. Oosthuizen and W. E. Carscallen, Compressible Fluid Flow, NY, McGraw-Hill
  • M. A. Saad, Compressible Fluid Flow, Prentice-Hall