Abstract
The flow structure of an underexpanded supersonic jet with high reservoir temperature impinging on a flat plate has been numerically investigated using a Total Variation Diminishing (TVD) scheme. When the temperature of the flow field is high enough to cause chemical reaction, the specific heat ratio,γ, is no longer equal to 1.4, nor constant. This explains the difference found in the literature between the flow properties of the calorically perfect gas and that of the chemically reacting flow. Under the equilibrium flow assumption the effect of high temperature gas on the impinging jet has been taken into account in the present paper by using specific heat ratio and speed of sound given by correlation polynomials of thermodynamic variables. The limiting case of cold jet calculation in the present numerical results agreed well with the existing experimental data. For the equilibrium jet with high reservoir temperature,T o=1000K, qualitative support of the present result has been provided by means of the approximation theory.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Anderson JD (1989) Hypersonic and high temperature gas dynamics. McGRAW-Hill Book Company, New York
Casier F, Deconinck H, Hirsch Ch (1984) A class of bidiagonal schemes for solving the Euler equations. AIAA J 22:1556
Donaldson CP, Snedeker RS (1971) A study of free jet impingement. Part 1. Mean property of free and impinging jet. J Fluid Mech 45:281
Hayes WD, Probstein RF (1959) Hypersonic flow theory. Academic Press, New York
Kim KH, Chang KS (1991) Axisymmetric jet impingement on a flat plate: numerical simulation using a TVD scheme. In: Takayama K (ed) Shock waves. Proceedings of the 18th international symposium on shock waves, held at Sendai, Japan 21–26 July 1991. Springer-Verlag, Heidelberg, pp 1069–1073
Kim KH, Chang KS (1993) Three-dimensional structure of a jet impinging into an inclined flat plate. Submitted for publication to J of Spacecraft and Rockets
Lamont PJ, Hunt BL (1980) The impingement of underexpanded axisymmetric jets on perpendicular and inclined flat plates. J Fluid Mech 100:471
Maus JR, Griffith BJ, Szema KY, Best JT (1984) Hypersonic Mach number and real gas effects on space shuttle orbiter aerodynamics. J Spacecraft and Rockets 21:136
Tannehill JC, Mugge PH (1974) Improved curve fits for the thermodynamic properties of equilibrium air suitable for numerical computation using time-dependent or shock-capturing method. NASA-CR-2470
Yang JY, Lombard CK, Bershader D (1987) Numerical simulation of transient inviscid shock tubes. AIAA J 25:245
Author information
Authors and Affiliations
Additional information
This article was processed using Springer-Verlag TEX Shock Waves macro package 1.0 and the AMS fonts, developed by the American Mathematical Society.
Rights and permissions
About this article
Cite this article
Kim, K.H., Chang, K.S. Axisymmetric impingement of a hot jet on a flat plate: equilibrium flow analysis of high-temperature air. Shock Waves 4, 155–162 (1994). https://doi.org/10.1007/BF01417431
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF01417431