Incident Shock Wave Interaction with an Axisymmetric Cone Body Placed in Shock Tube
Authors: Rabah Haoui
Abstract:
This work presents a numerical simulation of the interaction of an incident shock wave propagates from the left to the right with a cone placed in a tube at shock. The Mathematical model is based on a non stationary, viscous and axisymmetric flow. The Discretization of the Navier-stokes equations is carried out by the finite volume method in the integral form along with the Flux Vector Splitting method of Van Leer. Here, adequate combination of time stepping parameter, CFL coefficient and mesh size level is selected to ensure numerical convergence. The numerical simulation considers a shock tube filled with air. The incident shock wave propagates to the right with a determined Mach number and crosses the cone by leaving behind it a stationary detached shock wave in front of the nose cone. This type of interaction is observed according to the time of flow.
Keywords: Supersonic flow, viscous flow, finite volume, cone body
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1086107
Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1562References:
[1] A.H. Shapiro, The Dynamics and Thermodynamics of Compressible fluid flow, The Ronald Press Company, New York, Volume II, 1954, pp. 664.
[2] H. Schlichting, Boundary-layer theory, 7th edition, McGraw-Hill, New York, 1979.
[3] Goudjo, J.A. Désidéri, a finite volume scheme to resolution an axisymmetric Euler equations (Un schéma de volumes finis décentré pour la résolution des équations d-Euler en axisymétrique), Research report INRIA 1005, 1989.
[4] R. Haoui, "Effect of mesh size on the viscous flow parameters of an axisymmetric nozzle," International Journal of Aeronautical and space Sciences, vol.12(2), 2011, pp. 127-133.
[5] K. A. Hoffmann, Computational fluid dynamics for engineers, Volume II. Chapter 14, Engineering Education system, Wichita, USA, pp.202- 235, 1995.
[6] B. Van Leer, "Flux Vector Splitting for the Euler Equations," Lecture Notes in Physics. 170, 1982, pp. 507-512.
[7] J.H. Ferziger & all, Computational Methods for Fluid Dynamics, Chapter 8, Springer-Verlag, Berlin Heidelberg, New York, 2002, pp.217-259,.
[8] R. Haoui, "Physico-chemical state of the air at the stagnation point during the atmospheric reentry of a spacecraft," Acta astronautica, vol.68, 2011, pp.1660-1668.
[9] R. Haoui, A. Gahmousse, D. Zeitoun, "Condition of convergence applied to an axisymmetric reactive flow," 16th CFM, no.738, Nice, France, 2003
[10] R. Haoui, “Finite volumes analysis of a supersonic non-equilibrium flow around the axisymmetric blunt body,” International Journal of Aeronautical and space Sciences, vol.11(2), 2010, pp. 59-68.