Validation of Shock-Expansion Tool for Two-dimensional and Axisymmetric Flows with CFD

Jyothi Kumar, Puttam and Shankara Rao, Gonti (2014) Validation of Shock-Expansion Tool for Two-dimensional and Axisymmetric Flows with CFD. In: 16th AESI Annual CFD Symposium, 11 Aug 2014, CSIR-NAL, Bangalore.

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Abstract

The paper discusses the development and testing of shock-expansion tool for 2-D and axisymmetric supersonic and hypersonic flows. The motivation is to compute the first-cut inviscid surface flow parameters on bodies with sharp leading edges and attached shocks in minimum possible time without the necessity of grid. The flow parameters on the body surface immediately behind the leading edge shock are computed using either by solving oblique shock relation(two-dimensional flows: plane shock case) or by solving Taylor- Maccoll equation (axisymmetric flows: conical shock case). The subsequent flow parameters are computed either by Prandtl-Meyer relation (for isentropic expansion) or again by oblique shock relation (for compression) depending upon local surface inclination. The transcendental equations come into picture, while solving oblique shock or Prandtl-Meyer relations are solved using bi-section method. The Taylor-Maccoll equation is a second order ODE and was solved using RK-4 method. In the present study shock-expansion tool was tested for three 2-D bodies at different angle of attacks and three axisymmetric bodies at different Mach numbers with zero angle of incidence. In almost all the cases the results are in good agreement with Euler results computed using in-house RANS solver MB-EURANIUM and predicted the trends of experimental ones.

Item Type: Conference or Workshop Item (Paper)
Subjects: ENGINEERING > Fluid Mechanics and Thermodynamics
Depositing User: Mrs SK Pratibha
Date Deposited: 06 Jul 2015 10:41
Last Modified: 06 Jul 2015 10:41
URI: http://nal-ir.nal.res.in/id/eprint/12211

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