An Analysis of Acoustic Function and Navier-Stokes Equations in Aerodynamic

Authors: Hnin Hnin Kyi, Khaing Khaing Aye

Abstract:

Acoustic function plays an important role in aerodynamic mechanical engineering. It can classify the kind of air-vehicle such as subsonic or supersonic. Acoustic velocity relates with velocity and Mach number. Mach number relates again acoustic stability or instability condition. Mach number plays an important role in growth or decay in energy system. Acoustic is a function of temperature and temperature is directly proportional to pressure. If we control the pressure, we can control acoustic function. To get pressure stability condition, we apply Navier-Stokes equations.

Keywords: Acoustic velocity, Irrotational, Mach number, Rotational.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1082768

References:

[1] Chong Zhou and Joseph Majdalani, "Improved Mean-Flow Solution for Slab Rocket Motor with Regressing Walls", (AIAA paper 2000- 3191).
[2] Jonathan C. French, "A Comparison of Nonlinear Combustion Stability Mothods|".
[3] Flandro, G. A., and Majdalani, J., "Aeroacoustic Instability in Rockets," AIAA Journal, Vol. 41, No. 3, 2003, pp. 485-497.
[4] Gary A. Flandro, "Aero-acoustic Instability in Rockets",AIAA Journal Vol.41, No.3, March, 2003.
[5] Jonathan French, "Improvements to the Linear Standard Stability Prediction Program (SSP)", (AIAA paper 2004-4181).
[6] Joseph M. Power, "Gas Dynamic," Aerodynamic II, Lecture Notes, Department of Aerospace and Mechanical Engineering ,University of North Dame 2003.
[7] Sean R. Fischbach, Joseph Majdalani, and Gary A. Flandro, "Volume to Surface Transformation of Rocket Stability Integrals", (AIAA paper 2004-4053).
[8] Sean R. Fischbach, Joseph Majdalani, and Gary A. Flandro, "Acoustic Instability and Slab Rocket Motor", (AIAA paper 2004-4061).
[9] Sean R. Fischbach, Joseph Majdalani, and Gary A. Flandro, "Verification and Validation of Rocket Stability Integral Transformation", (AIAA paper 2005-4001).
[10] S.M. Yahya, "Fundamental of Compressible Flow", May 2003, Third Edition.
[11] Weidong Cai and V. Yang, "Turbulent Transport in Rocket Motor Unsteady Flow field," Vol.185, Progress in Astronautics and Aeronautic, 2000, pp-837-858.
[12] Yi Wang and Arnaud Trouve, "Artificial Acoustic Stiffness Reduction in fully Compressible, Direct Numerical Simulation of Combustion".