M.I.E.T. ENGINEERING COLLEGE/ DEPT. of Mechanical Engineering M.I.E.T. ENGINEERING COLLEGE (Approved by AICTE and Affiliated to Anna University Chennai) TRICHY – PUDUKKOTTAI ROAD, TIRUCHIRAPPALLI – 620 007 DEPARTMENT OF MECHANICAL ENGINEERING COURSE MATERIAL ME6604 Gas Dynamics and Jet Propulsion III YEAR - VI SEMESTER M.I.E.T. /Mech. / III /GDJP M.I.E.T. ENGINEERING COLLEGE/ DEPT. of Mechanical Engineering M.I.E.T. ENGINEERING COLLEGE (Approved by AICTE and Affiliated to Anna University Chennai) TRICHY – PUDUKKOTTAI ROAD, TIRUCHIRAPPALLI – 620 007 DEPARTMENT OF MECHANICAL ENGINEERING SYLLABUS Sub. Code : ME6604 Branch / Year / Sem : Mech/III/VI Sub.Name : Gas Dynamics and Jet Propulsion Staff Name : S.Roseline L T P C 3 1 0 4 UNIT I BASIC CONCEPTS AND ISENTROPIC FLOWS 6 Energy and momentum equations of compressible fluid flows – Stagnation states, Mach waves and Mach cone – Effect of Mach number on compressibility – Isentropic flow through variable ducts – Nozzle and Diffusers – Use of Gas tables. UNIT II FLOW THROUGH DUCTS 9 Flows through constant area ducts with heat transfer (Rayleigh flow) and Friction (Fanno flow) – variation of flow properties – Use of tables and charts – Generalised gas dynamics. UNIT III NORMAL AND OBLIQUE SHOCKS 10 Governing equations – Variation of flow parameters across the normal and oblique shocks – Prandtl – Meyer relations – Use of table and charts – Applications. UNIT IV JET PROPULSION 10 Theory of jet propulsion – Thrust equation – Thrust power and propulsive efficiency – Operation principle, cycle analysis and use of stagnation state performance of ram jet, turbojet, turbofan and turbo prop engines. UNIT V SPACE PROPULSION 10 Types of rocket engines – Propellants-feeding systems – Ignition and combustion – Theory of rocket propulsion – Performance study – Staging – Terminal and characteristic velocity – Applications – space flights. TUTORIALS: 15, TOTAL: 60 PERIODS TEXT BOOKS: rd 1. Anderson, J.D., Modern Compressible flow, McGraw Hill, 3 Edition, 2003. 2. H. Cohen, G.E.C. Rogers and Saravanamutto, Gas Turbine Theory, Longman Group Ltd., 1980. 3. S.M. Yahya, fundamentals of Compressible Flow, New Age International (P) Limited, New Delhi, 1996. REFERENCES: 1. P. Hill and C. Peterson, Mechanics and Thermodynamics of Propulsion, Addison – Wesley Publishing company, 1992. 2. N.J. Zucrow, Aircraft and Missile Propulsion, vol.1 & II, John Wiley, 1975. 3. N.J. Zucrow, Principles of Jet Propulsion and Gas Turbines, John Wiley, New York, 1970. 4. G.P. Sutton, Rocket Propulsion Elements, John wiley, 1986, New York. 5. A.H. Shapiro, Dynamics and Thermodynamics of Compressible fluid Flow, , John wiley, 1953, New York. 6. V. Ganesan, Gas Turbines, Tata McGraw Hill Publishing Co., New Delhi, 1999. 7. PR.S.L. Somasundaram, Gas Dynamics and Jet Propulsions, New Age International Publishers, 1996. 8. V. Babu, Fundamentals of Gas Dynamics, ANE Books India, 2008. SUBJECT IN-CHARGE HOD M.I.E.T. /Mech. / III /GDJP M.I.E.T. ENGINEERING COLLEGE/ DEPT. of Mechanical Engineering M.I.E.T. ENGINEERING COLLEGE (Approved by AICTE and Affiliated to Anna University Chennai) TRICHY – PUDUKKOTTAI ROAD, TIRUCHIRAPPALLI – 620 007 DEPARTMENT OF MECHANICAL ENGINEERING Sub. Code : ME6604 Branch/Year/Sem : Mech/III/VI Sub Name : Gas Dynamics and Jet Propulsion Staff Name : S.Roseline COURSE OBJECTIVE 1. To explain the basic difference between incompressible and compressible flow and properties of gases . 2. To introduce the phenomenon of Wave motion, shock waves and its effect on flow. 3. To explain the changes taking place in a flow during friction and heat transfer. 4. To create awareness on jet propulsion and Rocket propulsion and its engines. 5. The ability to analyze jet engines; determine propulsion efficiency and design inlets and nozzles. COURSE OUTCOMES 1. Understand the one - dimensional steady compressible fluid flow 2. Calculate the adiabatic and isentropic properties in various regions of flow. 3. Calculate the adiabatic and isentropic properties in various conditions of flows during friction and heat transfer. 4. Analyze the flow properties on shock waves in various flow regions. 5. Apply the gas dynamics principles in the jet and space propulsion. 6. Interpret the differences in Pressure, Temperature and Mach number in various regions of fluid flow Prepared by Verified By S.Roseline HOD Approved by PRINCIPAL M.I.E.T. /Mech. / III /GDJP M.I.E.T. ENGINEERING COLLEGE/ DEPT. of Mechanical Engineering M.I.E.T. ENGINEERING COLLEGE (Approved by AICTE and Affiliated to Anna University Chennai) TRICHY – PUDUKKOTTAI ROAD, TIRUCHIRAPPALLI – 620 007 UNIT-1 BASIC CONCEPTS AND ISENTROPIC FLOWS 1.1. Concept of Gas Dynamics Gas dynamics mainly concerned with the motion of gases and its effects .It differ from fluid dynamics .Gas dynamics considers thermal or chemical effects while fluid dynamics usually does not. Gas dynamics deals with the study of compressible flow when it is in motion. It analyses the high speed flows of gases and vapors‘ with considering its compressibility. The term gas dynamics is very general and alternative names have been suggested e.g.: Supersonic flow, compressible flow and aero thermodynamics etc., 1.1.1 Significance with Applications: Gas dynamics is of interest to both mechanical and the aeronautical engineers but particular field of interest of the two different .It may be said that thermodynamicist is concerned with how an object in motion influenced as it flies through still air. In contrast to it the thermodynamicist in more interested in the cases in which the object in stationary and the fluid is in motion .The applications of gas dynamics are given below. It is used in Steam and Gas turbines High speed aero dynamics Jet and Rocket propulsion High speed turbo compressor The fluid dynamics of compressible flow problems which involves the relation between forse, density, velocity and mass etc.Therfore the following laws are frequently used for solving the dynamic problems. 1. Steady flow energy equation 2. Entropy relations 3. Continity equation 4. Momentum equation 1.2 Compressible Flows – Compressible flow - Density changes M.I.E.T. /Mech. / III /GDJP M.I.E.T. ENGINEERING COLLEGE/ DEPT. of Mechanical Engineering M.I.E.T. ENGINEERING COLLEGE (Approved by AICTE and Affiliated to Anna University Chennai) TRICHY – PUDUKKOTTAI ROAD, TIRUCHIRAPPALLI – 620 007 We know that fluids, such as gas, are classified as Incompressible and Compressible fluids. Incompressible fluids do not undergo significant changes in density as they flow. In general, liquids are incompressible; water being an excellent example. In contrast compressible fluids do undergo density changes. Gases are generally compressible; air being the most common compressible fluid we can find. Compressibility of gases leads to many interesting features such as shocks, which are absent for incompressible fluids. Gas dynamics is the discipline that studies the flow of compressible fluids and forms an important branch of Fluid Mechanics. 1.2.1 Compressible vs. Incompressible Flow A flow is classified as incompressible if the density remains nearly constant. Liquid flows are typically incompressible. Gas flows are often compressible, especially for high speeds. Mach number, Ma = V/c is a good indicator of whether or not compressibility effects are important. Ma < 0.3 : Incompressible Ma < 1 : Subsonic Ma = 1 : Sonic Ma > 1 : Supersonic Ma >> 1 : Hypersonic 1.2.2 Compressibility: Measure of the relative volume change with pressure A measure of the relative volume change with pressure for a given process. Consider a small element of fluid of volume v, the pressure exerted on the sides of the element is p. Assume the pressure is now increased by an infinitesimal amount dp. The volume of the element will change by a corresponding amount dv , here the volume decrease so dv is a negative quantity. By definition, the compressibility of fluid is M.I.E.T. /Mech. / III /GDJP M.I.E.T. ENGINEERING COLLEGE/ DEPT. of Mechanical Engineering M.I.E.T. ENGINEERING COLLEGE (Approved by AICTE and Affiliated to Anna University Chennai) TRICHY – PUDUKKOTTAI ROAD, TIRUCHIRAPPALLI – 620 007 The terms compressibility and incompressibility describe the ability of molecules in a fluid to be compacted or compressed (made more dense) and their ability to bounce back to their original density, in other words, their "springiness." An incompressible fluid cannot be compressed and has relatively constant density throughout. Liquid is an incompressible fluid. A gaseous fluid such as air, on the other hand, can be either compressible or incompressible. Generally, for theoretical and experimental purposes, gases are assumed to be incompressible when they are moving at low speeds--under approximately 220 miles per hour. The motion of the object traveling through the air at such speed does not affect the density of the air. This assumption has been useful in aerodynamics when studying the behavior of air in relation to airfoils and other objects moving through the air at slower speeds. In thermodynamics and fluid mechanics, compressibility is a measure of the relative volume change of a fluid or solid as a response to a pressure (or mean stress) change. Where V is volume and p is pressure. The above statement is incomplete, because for any object or system the magnitude of the compressibility depends strongly on whether the process is adiabatic or isothermal. Accordingly we define the isothermal compressibility as: Where the subscript T indicates that the partial differential is to be taken at constant temperature. The adiabatic compressibility as: Where S is entropy. For a solid, the distinction between the two is usually negligible. The inverse of the compressibility is called the bulk modulus, often denoted K(sometimes B). 1.2.3. Compressibility and Incompressibility The terms compressibility and incompressibility describe the ability of molecules in a fluid to be compacted or compressed (made more dense) and their ability to bounce back to their original density, in other words, their "springiness." An incompressible M.I.E.T. /Mech. / III /GDJP M.I.E.T.