APPROXIMATE CALCULATION VISCOUS SHOCK LAYER FOR HYPERSONIC FLOWS ABOUT BLUNT-NOSED BODIES

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KARIMIAN S.M.H.; MAEREFAT M.; MALEKZADEH DIRIN M.

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Journal: AMIRKABIR Year:2003 | Volume:14 | Issue:53 Page(s): 191-203

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Title

APPROXIMATE CALCULATION VISCOUS SHOCK LAYER FOR HYPERSONIC FLOWS ABOUT BLUNT-NOSED BODIES

Author(s)

KARIMIAN S.M.H. | MAEREFAT M. | MALEKZADEH DIRIN M. | Issue Writer Certificate

Keywords

VISCOUS SHOCK LAYER- HYPERSONIC- APPROXIMATE METHODQ4

Abstract

An axisymmetric approximate viscous shock layer method has been developed to calculate laminar and turbulent hypersonic viscous flows of perfect gas over blunt-nosed bodies. In this method, Maslen's second-order pressure expression has been used instead of the normal momentum equation to obtain a simplified form of the axisymmetric viscous shock layer equations. In this approach, equations have been solved in a shock-oriented curvilinear coordinate system. The shock shape is obtained using an inverse method which provides a smooth shock shape in subsonic and supersonic regions. It is noted that the approximate pressure relation is given in the stream function coordinate. Since the governing equations are solved in the computational coordinate system, the relation between these two coordinate systems must be specified In the present study an approximate relation between the computational and the stream function coordinate systems has been developed. This approximate relation, which is a third-order, polynomial, is derived using four boundary conditions on the shock and the body surfaces. The very first gain one can benefit from it is the increase of computation speed Since the present method fast, it can be used for preliminary design or parametric study of hypersonic vehicles. Solutions have been presented for air flows over spherically blunted cones. The results of present method compare very well with the experimental data and detailed viscous shock layer solutions.

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APA: Copy

KARIMIAN, S.M.H., MAEREFAT, M., & MALEKZADEH DIRIN, M.. (2003). APPROXIMATE CALCULATION VISCOUS SHOCK LAYER FOR HYPERSONIC FLOWS ABOUT BLUNT-NOSED BODIES. AMIRKABIR, 14(53), 191-203. SID. https://sid.ir/paper/672/en

Vancouver: Copy

KARIMIAN S.M.H., MAEREFAT M., MALEKZADEH DIRIN M.. APPROXIMATE CALCULATION VISCOUS SHOCK LAYER FOR HYPERSONIC FLOWS ABOUT BLUNT-NOSED BODIES. AMIRKABIR[Internet]. 2003;14(53):191-203. Available from: https://sid.ir/paper/672/en

IEEE: Copy

S.M.H. KARIMIAN, M. MAEREFAT, and M. MALEKZADEH DIRIN, “APPROXIMATE CALCULATION VISCOUS SHOCK LAYER FOR HYPERSONIC FLOWS ABOUT BLUNT-NOSED BODIES,” AMIRKABIR, vol. 14, no. 53, pp. 191–203, 2003, [Online]. Available: https://sid.ir/paper/672/en

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