2K6 ME 801 : GAS DYNAMICS
Module 1
Basic equations of fluid flow. Continuity, Momentum, Energy equations. Navier-Stokes equations. Introduction to compressible flow. Equation of state. Entropy Equation, The Stagnation Concept, Stagnation Pressure and Temperature, Consequences of Constant Density. Speed of sound. Mach number and Mach angle.
Module 11
Equations for compressible, one-dimensional duct flows. Sonic Velocity and Mach Number, Wave Propagation, Equations for Perfect Gases in terms of Mach Number, h-s and T-s Diagrams. Steady one dimensional isentropic flow with area change – Governing equations, effect of area change on flow properties, limiting conditions (choking), governing equation for the isentropic flow of a perfect gas, isentropic flow tables for a perfect gas, effect of area change on the flow properties, the converging nozzle. Effect of varying the back pressure and inlet pressure. Converging diverging or De Laval nozzle
Module 111
Shock waves – normal shock waves in perfect gas – governing equations, normal shock wave tables, the Rankine – Hugoniot equation for a normal shock wave, Prandtl’s velocity equation, entropy change and shock strength. Oblique shock waves in perfect gas Governing equations, property ratios across an oblique shock wave, Rankine – Hugoniot equation. Expansion waves
Module 1V
Steady one dimensional adiabatic flow with friction in a constant area duct – governing equations, Fanno line, Fanno line equation for perfect gas, friction parameter, relationship between duct length and Mach number, entropy change caused by friction, effect of friction on flow properties, Fanno line tables. Steady one dimensional flow with heat transfer in a constant area duct – governing equations, Rayleigh line, intersection of Fanno line and Rayleigh line, Rayleigh line equations for a perfect gas, relationship between heat transfer, stagnation temperature and Mach number, effect of heat transfer on flow properties, Rayleigh line tables.
Text books
1. Rathakrishnan. E., Gas dynamics, Prentice Hall India, New Delhi, 1995.
2. Shapiro, A.H., Dynamics & Thermodynamics of Compressible fluid flow, Ronald Press.
3. Zuckrow. M.J. & Hoffman, D.H., Gas Dynamics, McGraw Hill, New York.
4. Zucker R. D. and Biblarz Oscar, “Introduction to Gas Dynamics”, John Wiley and Sons. Inc., Second Edition