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Journal ArticleDOI

Oblique-shock/expansion-fan interaction - Analytical solution

H. Li, +1 more
- 01 Feb 1996 - 
- Vol. 34, Iss: 2, pp 418-421
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TLDR
In this article, the authors consider the supersonic flow inside a channel that suddenly turns and generate a centered expansion wave and an oblique shock wave at the expansive and compressive corners.
Abstract
We consider the supersonic flow inside a channel that suddenly turns. For the flow to negociate this sudden turn, a centered expansion wave and an oblique shock wave are generated at the expansive and compressive corners. We study the interaction between an oblique shock and a centered fan, the subsequent interactions of the reflected shock and reflected expansion waves are not considered here

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Citations
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Analytical solutions for Prandtl–Meyer wave–oblique shock overtaking interaction

TL;DR: In this paper, the interaction between oblique shock and preceding expansion or compression Prandtl-Meyer wave of the same direction is studied theoretically and two reliable analytical solutions for overtaking the PRM wave-oblique shock interaction are obtained.
Journal ArticleDOI

The influence of the downstream pressure on the shock wave reflection phenomenon in steady flows

TL;DR: In this paper, the effect of the downstream pressure (defined here as the wake pressure behind the tail of the reflecting wedge) on shock wave reflection in steady flows is investigated both numerically and analytically.
Journal ArticleDOI

Size and shape of shock waves and slipline for Mach reflection in steady flow

TL;DR: In this article, the shape of the curved slipline and reflected shock wave were derived for steady supersonic flow, and it was found that, due to transmitted expansion waves from the expansion fan, the curve of the slippine has a slope discontinuity at the turning point, i.e., the intersection point of the curve and the leading characteristics of the transmitted expansion wave.
Journal ArticleDOI

Shock-wave/expansion-wave interactions and the transition between regular and Mach reflection

TL;DR: In this paper, the authors present numerical simulations for the interaction of an expansion wave with an incident shock wave of the opposite family, the specific aim being to study the resultant reflection of the now-perturbed shock wave from a solid surface.
Journal ArticleDOI

An analytical model for asymmetric Mach reflection configuration in steady flows

TL;DR: In this article, an analytical model for the configuration of Mach reflection due to the interaction of two-dimensional steady supersonic flow over asymmetric wedges is presented, where the subsonic pocket downstream of the Mach stem is taken to be oriented along an average inclination, based on the streamline deflections by the mach stem at the triple points.
References
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Journal ArticleDOI

Numerical solutions of time-dependent incompressible Navier-Stokes equations using an integro-differential formulation

TL;DR: In this article, a numerical method for the solution of the Navier-Stokes equations is developed using an integro-differential formulation of the equations, which permits the actual computation to be confined to the viscous region of the flow and offers a drastic reduction in the number of data points required in the numerical procedure.
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Numerical Boundary Conditions for Viscous Flow Problems

TL;DR: In this article, a method for treating certain troublesome boundary conditions in the numerical solution of time-dependent incompressible viscous flow problems is presented, based on an integral representation for the velocity vector which contains the entire kinematics of the problem, including the boundary conditions of concern.
Journal ArticleDOI

Engineering approach to the prediction of shock patterns in bounded high-speed flows

TL;DR: In this article, a two-dimensional symmetric wedge configuration representative of a single high-speed intake in steady flow was investigated, and the analysis presented here is intended as an engineering approach for estimating certain features of the internal shock system.
Journal ArticleDOI

Review of incompressible fluid flow computations using the vorticity-velocity formulation

TL;DR: An overview of the development of the vorticity-velocity formulation to the numerical solution of the Navier-Stokes equations is presented in this paper, where the advantages and disadvantages of such a formulation are discussed, as well as the various numerical algorithms used in solving these governing differential equations.
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