The flow of a compressible viscous fluid in a channel with a blow was numerically simulated. The results of a computational experiment were compared with approximate solutions and calculation data presented in the literature. The results obtained allow one to estimate the role of the compressibility of a fluid in the formation of the structure of its flow in a channel with permeable walls. It has been established that the compressibility of this fluid leads to an increase in the curvature of the lines of its flow near the blow surface and to a filling of the profile of the axial velocity of the flow.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
K. N. Volkov and V. N. Emel’yanov, Gas Flows with Mass Supply in Channels and Tracks of Power Plants [in Russian], Fizmatlit, Moscow (2011).
K. Yamada and N. Ishikawa, Simulative study on the erosive burning of solid rocket motors pages, AIAA J., 14, No. 9, 1170–1176 (1976).
R. Dunlap, P. G. Willoughby, and R. W. Hermsen, Flow field in the combustion chamber of a solid propellant rocket motor, AIAA J., 12, No. 10, 1440–1442 (1974).
J. C. Traineau, P. Hervat, and P. Kuentzmann, Cold-flow simulation of a two-dimensional nozzleless solid-rocket motor, AIAA Paper, No. 86–1447.
J. Majdalani and S. W. Rienstra, Two forms of the rotational solution for wave propagation inside porous channels, AIAA Paper, No. 2002–2985.
R. A. Beddini, Injection induced flows in porous-walled ducts, AIAA J., 24, No. 11, 1766–1773 (1986).
J. D. Baum, Investigation of flow turning phenomenon: effects of frequency and blowing rate, AIAA Paper, No. 89–0297.
J. S. Sabnis, H. J. Gibeling, and H. McDonald, Navier–Stokes analysis of solid propellant rocket motor internal flows, J. Propuls. Power, 5, No. 6, 657–664 (1989).
T. M. Liou and W. H. Lien, Numerical simulations of injection-driven flows in a two-dimensional nozzleless solid-rocket motor, J. Propuls. Power, 11, No. 4, 600–606 (1995).
S. V. Apte and V. Yang, Unsteady flow evolution in a porous chamber with surface mass injection. I. Free oscillations, AIAA J., 39, No. 8, 1577–1586 (2001).
S. V. Apte and V. Yang, Unsteady flow evolution in a porous chamber with surface mass injection. II. Acoustic excitations, AIAA J., 40, No. 2, 244–253 (2002).
J. Majdalani, On steady rotational high speed flows: the compressible Taylor–Culick profile, in: Proc. Roy. Soc. London, Ser. A, 463 (2077), 131–162 (2007).
P. Venugopal, F. M. Najjar, and R. D. Moser, Numerical simulations of model solid rocket motor flows, AIAA Paper, No. 2001–3950.
K. N. Volkov and V. N. Emel’yanov, Flows and Heat Transfer in Channels and Rotating Cavities [in Russian], Fizmatlit, Moscow (2010).
K. N. Volkov and V. N. Emel’yanov, Mathematical models of three-dimensional turbulent flows in channels with blow, Mat. Modelir., 16, No. 10, 41–63 (2004).
R. Dunlap, A. M. Blackner, R. C. Waugh, et al., Internal flow field studies in a simulated cylindrical port rocket chamber, J. Propuls. Power, 6, No. 6, 690–704 (1990).
A. Gany and I. Aharon, Internal ballistics considerations of nozzleless rocket motors, J. Propuls. Power, 15, No. 6, 866–873 (1999).
A. M. Hegab and D. R. Kassoy, Internal flow temperature and vorticity dynamics in channel with transient mass addition, AIAA J., 44, No. 4, 812–826 (2006).
J. Griffond, Two-dimensional wavelike equilibrium states in the wall injection-induced planar Taylor flow, in: Proc. Roy. Soc. London, Ser. A, 459 (2031), 749–771 (2003).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 86, No. 1, pp. 86–93, January–February, 2013.
Rights and permissions
About this article
Cite this article
Volkov, K.N. Role of compressibility in the formation of the structure of a flow in a channel with permeable walls. J Eng Phys Thermophy 86, 88–95 (2013). https://doi.org/10.1007/s10891-013-0808-0
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10891-013-0808-0