Book contents
- Unsteady Combustor Physics
- Unsteady Combustor Physics
- Copyright page
- Summary Contents
- Detailed Contents
- Acknowledgments
- Introduction
- Overview of the Book
- 1 Basic Equations
- 2 Decomposition and Evolution of Disturbances
- 3 Hydrodynamic Flow Stability I: Linear Instability
- 4 Hydrodynamic Flow Stability II: Common Combustor Flow Fields
- 5 Acoustic Wave Propagation I: Basic Concepts
- 6 Acoustic Wave Propagation II: Heat Release, Complex Geometry, and Mean Flow Effects
- 7 Flame Sheet and Flow Interactions
- 8 Ignition
- 9 Internal Flame Processes
- 10 Flame Stabilization, Flashback, Flameholding, and Blowoff
- 11 Forced Response I: Flamelet Dynamics
- 12 Forced Response II: Heat Release Dynamics
- Index
- References
1 - Basic Equations
Published online by Cambridge University Press: 27 October 2021
Book contents
- Unsteady Combustor Physics
- Unsteady Combustor Physics
- Copyright page
- Summary Contents
- Detailed Contents
- Acknowledgments
- Introduction
- Overview of the Book
- 1 Basic Equations
- 2 Decomposition and Evolution of Disturbances
- 3 Hydrodynamic Flow Stability I: Linear Instability
- 4 Hydrodynamic Flow Stability II: Common Combustor Flow Fields
- 5 Acoustic Wave Propagation I: Basic Concepts
- 6 Acoustic Wave Propagation II: Heat Release, Complex Geometry, and Mean Flow Effects
- 7 Flame Sheet and Flow Interactions
- 8 Ignition
- 9 Internal Flame Processes
- 10 Flame Stabilization, Flashback, Flameholding, and Blowoff
- 11 Forced Response I: Flamelet Dynamics
- 12 Forced Response II: Heat Release Dynamics
- Index
- References
Summary
This chapter presents the key equations for a multicomponent, chemically reacting perfect gas which will be used in this text [1]. These equations describe the thermodynamic relationships between state variables in a perfect gas, such as the interrelationship between pressure, density, and entropy. They also describe the physical laws of conservation of mass, which relates the density and velocity, the momentum equation, which relates the velocity and pressure, and the energy equation, which relates the internal and kinetic energy of the flow to work and heat transfer to the fluid.
- Type
- Chapter
- Information
- Unsteady Combustor Physics , pp. 9 - 26Publisher: Cambridge University PressPrint publication year: 2021
References
Williams, F.A., Combustion Theory: The Fundamental Theory of Chemically Reacting Flow Systems. 1994, Perseus Books.Google Scholar
Poinsot, T. and Veynante, D., Theoretical and Numerical Combustion. 2nd ed. 2005, R.T. Edwards, Inc.Google Scholar
Peters, N., Turbulent Combustion. 1st ed. 2000, Cambridge: Cambridge University Press.Google Scholar
Wu, C.S. and Hayes, W.D., Crocco’s vorticity law in a non-uniform material. Quarterly Journal of Applied Mathematics, 1958, 16: pp. 81–82.Google Scholar
Currie, I.G., Fundamental Mechanics of Fluids. 3rd ed. Mechanical Engineering. 2002, Marcel Dekker.CrossRefGoogle Scholar