Summary
Slip boundary conditions are deduced for the Navier-Stokes equations describing the flow of a mixture of gases along a wall. Chemical reactions and changes of the internal energy at the wall are taken into account. A simplified approximation is introduced for a special case of the flow of a binary mixture consisting of atoms and molecules, which can be used as a model in treating the high-altitude flight of a space vehicle. The resulting conditions are compared with those given by other authors.
Similar content being viewed by others
References
Schaaf, S. A., Chambré, P. L.: Flow of rarefied gases. High Speed Aerodyn. Jet Propulsion3, 687–739 (1958).
Clarke, J. F., McChesney, M.: The dynamics of real gases, pp. 119–164 and 244–248. London: Butterworths 1964.
Schmitt-v. Schubert, B.: Hypersonic viscous stagnation flow of a gas with vibrational relaxation. DFVLR-AVA, IB 252-74 H 11, 1974. Paper presented at the 9th Int. Symp. on Rarefied Gasdynamics, Göttingen, Germany, 1974.
Schmitt-v. Schubert, B.: Vibrational nonequilibrium stagnation shock layers at hypersonic speed and low Reynolds number. Int. J. Heat Mass Transfer21, 1041–1048 (1978).
Mitra, N. K., Fiebig, M.: Low Reynolds number vibrational nonequilibrium flow in Laval nozzle. In: Rarefied gasdynamics (Becker, M., Fiebig, M., eds.), B.21. Proc. of the 9th Int. Symp., Göttingen, Germany,1974.
Lohöfer, G.: Navier-Stokes boundary conditions of a gas mixture. Phys. Fluids29, 4025–4031 (1986).
Cercignani, C.: Theory and application of the Boltzmann equation, pp. 118–122. Edinburgh, London: Scottish Academic Press 1975.
Lee, J.-H.: Basic governing equations for the flight regimes of aeroassisted orbital transfer vehicles. Progr. Astronaut.96, 3–53 (1985).
Chung, P. M.: Chemically reacting nonequilibrium boundary layers. Adv. Heat Transfer2, 109–270 (1965).
Gupta, R. N., Scott, C. D., Moss, J. N.: Slip-boundary equations for multicomponent nonequilibrium airflow. NASA, TP-2452, 1985.
Nishida, M., Sakamura, Y.: Thermal and chemical nonequilibrium viscous shock layer flows over a blunt body at high altitudes. Rarefied gasdynamics (Beylich, A. E., ed.), pp. 514–521. Proc. of the 17th Int. Symp. Aachen, Germany, 1990.
Zhluktov, S. V., Tirskii, G. A.: Influence of vibration-dissociation coupling on heat transfer and hypersonic drag. Fluid Dynamics25, 449–458 (1990).
Tirskii, A. G., Shcherbak, V. G.: Effect of vibrational relaxation in chemically nonequilibrium airflow past bodies with allowance for viscosity. Fluid Dynamics25, 128–134 (1990).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Schubert, B.Sv. Approximate boundary conditions for the flow of a mixture of reacting gases. Acta Mechanica 111, 161–170 (1995). https://doi.org/10.1007/BF01376927
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01376927