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Numerical simulation on the influence of aerothermodynamics on forward-facing cavities in hypersonic rarefied flow

Published online by Cambridge University Press:  17 June 2025

G. Gokul
Affiliation:
Department of Aerospace Engineering, SRM Institute of Science and Technology, Kattankulathur 603203, Chennai, Tamil Nadu, India
G. Malaikannan*
Affiliation:
Department of Aerospace Engineering, SRM Institute of Science and Technology, Kattankulathur 603203, Chennai, Tamil Nadu, India
*
Corresponding author: G. Malaikannan; Email: malaikag@srmist.edu.in

Abstract

The cavities over the re-entry vehicle alter the aerothermodynamic properties, leading to enhanced thermal protection as well as effective aerothermodynamic performance. This paper investigates the estimation of aerothermodynamic properties over a re-entry vehicle with different types of cavities on the frontal face of the vehicle. The direct simulation Monte Carlo (DSMC) simulation of hypersonic flow over the Crew module Atmospheric Re-entry Experiment (CARE) capsule was simulated with the re-entry velocity of 7,422 m/s and the freestream temperature of 225 K at an altitude of 110 km. A transient flow Knudsen number of 0.1 and air consists of 78.09% of ${N_2}$ and 21.91% of ${O_2}$ are used in the simulations. Two types of cavities, namely trapezoidal and the semi-circular cavity on the frontal face of the re-entry vehicle with different length to depth ratios, are analysed. The simulation results show that the recirculation regions are formed at the base of the cavity in the case of a cavity with sharp corners, whereas in the case of a cavity with rounded corners, the recirculation formed at the lip of the cavity for both trapezoidal and the semi-circular cavities. Increasing the length and depth of the cavity leads to smaller decrement in the drag when compared to the capsule without cavity for both trapezoidal and the semi-circular cavities. The heat flux is low for a cavity with the small L/D ratio (L/D = 0.5) for both fixed length and depth for trapezoidal-type cavity, whereas for large L/D ratio (L/D = 1.5) increasing the length of the cavity increases the overall heat flux.

Type
Research Article
Copyright
© The Author(s), 2025. Published by Cambridge University Press on behalf of Royal Aeronautical Society

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References

Mizzi, S., et al. Effects of rarefaction on cavity flow in the slip regime, J. Computat. Theor. Nanosci., 2007, 4, (4), pp 817822.10.1166/jctn.2007.2374CrossRefGoogle Scholar
Casseau, V., et al. Hypersonic simulations using open-source CFD and DSMC solvers, In AIP Conference Proceedings, Vol. 1786(1). AIP Publishing, p 050006, 2016.Google Scholar
Xiao, H. and He, Q.J. Aero-heating in hypersonic continuum and rarefied gas flows, Aerosp. Sci. Technol., 2018, 82, pp 566574.10.1016/j.ast.2018.09.036CrossRefGoogle Scholar
Boyd, I.D., Chen, G. and Candler, G.V. Predicting failure of the continuum fluid equations in transitional hypersonic flows, Phys. Fluids, 1995, 7, (1), pp 210219.10.1063/1.868720CrossRefGoogle Scholar
Wang, W. and Boyd, I.D. Predicting continuum breakdown in hypersonic viscous flows, Phys. Fluids, 2003, 15, (1), pp 91100.10.1063/1.1524183CrossRefGoogle Scholar
Bird, G.A. Molecular gas dynamics and the direct simulation of gas flows, In Molecular Gas Dynamics and the Direct Simulation of Gas Flows, 1994.10.1093/oso/9780198561958.001.0001CrossRefGoogle Scholar
Bird, G.A. Molecular gas dynamics, NASA STI/Recon Tech. Rep. A, 1976, 76, p 40225.Google Scholar
Olynick, D.R., Taylor, J.C. and Hassan, H.A. Comparisons between Monte Carlo methods and Navier-Stokes equations for re-entry flows, J. Thermophys. Heat Transf., 1994, 8, (2), pp 251258.Google Scholar
Moss, J.N. and Bird, G.A. Direct simulation of transitional flow for hypersonic reentry conditions, J. Spacecr. Rockets, 2003, 40, (5), pp 830843.10.2514/2.6909CrossRefGoogle Scholar
Tseng, K., Wu, J. and Boyd, I.D. Simulations of re-entry vehicles by using DSMC with chemical-reaction module, In 14th AIAA/AHI Space Planes and Hypersonic Systems and Technologies Conference, p 8084, 2006.Google Scholar
Mungiguerra, S., Zuppardi, G. and Savino, R. Rarefied aerodynamics of a deployable re-entry capsule, Aerosp. Sci. Technol., 2017, 69, pp 395403.10.1016/j.ast.2017.07.007CrossRefGoogle Scholar
Lal, S.A. and Reji, R.V. Simulations of hypersonic flow past a re-entry capsule using DSMC method, Frontiers in Heat and Mass Transfer (FHMT), 2016, 7 (1), 18.Google Scholar
Boyd, I. Estimation of Emission During the ATV Re-entry, University of Michigan.Google Scholar
Kutkan, H. and Eyi, S. Aerothermodynamic shape optimization of reentry capsules using DSMC and POD methods. In 10th International Conference on Computational Fluid Dynamics, pp 121, 2018.Google Scholar
Sampaio, P.A. and Santos, W.F. Computational analysis of the aerodynamic heating and drag of a reentry Brazilian satellite, In Proceedings of the 6th National Congress of Mechanical Engineering, Campina Grande, PB, Brazil. 2010.Google Scholar
Moss, J.N., Glass, C.E. and Greene, F.A. Blunt body aerodynamics for hypersonic low density flows, 2006.Google Scholar
Chinnappan, A.K., Malaikannan, G. and Kumar, R. Insights into flow and heat transfer aspects of hypersonic rarefied flow over a blunt body with aerospike using direct simulation Monte-Carlo approach, Aerosp. Sci. Technol., 2017, 66, pp 119128.10.1016/j.ast.2017.02.024CrossRefGoogle Scholar
Ahmed, M.Y.M. and Qin, N. Recent advances in the aerothermodynamics of spiked hypersonic vehicles, Progr. Aerosp. Sci., 2011, 47, (6), pp 425449.10.1016/j.paerosci.2011.06.001CrossRefGoogle Scholar
Huang, W., et al. Drag and heat flux reduction mechanism induced by the spike and its combinations in supersonic flows: A review, Prog. Aerosp. Sci., 2019, 105, pp 3139.10.1016/j.paerosci.2018.12.001CrossRefGoogle Scholar
Han, Q., et al. Thermal protection of a hypersonic vehicle by modulating stagnation-point heat flux, Aerosp. Sci. Technol., 2020, 98, p 105673.10.1016/j.ast.2019.105673CrossRefGoogle Scholar
Huang, W., et al. Drag and heat reduction mechanism in the combinational opposing jet and acoustic cavity concept for hypersonic vehicles, Aerosp. Sci. Technol., 2015, 42, pp 407414.10.1016/j.ast.2015.01.029CrossRefGoogle Scholar
Jin, X., et al. The effects of Maxwellian accommodation coefficient and freestream Knudsen number on rarefied hypersonic cavity flows, Aerosp. Sci. Technol., 2020, 97, p 105577.10.1016/j.ast.2019.105577CrossRefGoogle Scholar
Bharghava, D.S.N., et al. Implementation of concavity over heat shield of a reentry vehicle in reducing aerodynamic heating, Int. J. Heat Fluid Flow, 2024, 107, p 109413.10.1016/j.ijheatfluidflow.2024.109413CrossRefGoogle Scholar
Nabapure, D., et al. DSMC investigation of rarefied gas flow over a 2D forward- facing step: Effect of Knudsen number, Acta Astronaut., 2021, 178, pp 89109.10.1016/j.actaastro.2020.08.030CrossRefGoogle Scholar
Jiang, Q., et al. Effects of cavity shapes and sizes on rarefied hypersonic flows, Int. J. Mech. Sci., 2023, 245, p 108088.10.1016/j.ijmecsci.2022.108088CrossRefGoogle Scholar
Ahangar, E.K., Ayani, M.B. and Esfahani, J.A. Simulation of rarefied gas flow in a microchannel with backward facing step by two relaxation times using Lattice Boltzmann method–Slip and transient flow regimes, Int. J. Mech. Sci., 2019, 157, pp 802815.10.1016/j.ijmecsci.2019.05.025CrossRefGoogle Scholar
Palharini, R.C. and Santos, W.F. The impact of the length-to-depth ratio on aerodynamic surface quantities of a rarefied hypersonic cavity flow, Aerosp. Sci. Technol., 2019, 88, pp 110125.10.1016/j.ast.2019.03.007CrossRefGoogle Scholar
Guo, G., et al. Influence of flow control on aerodynamic properties of an open cavity in rarefied hypersonic flows. Acta Astronaut., 2022, 191, pp 404416.10.1016/j.actaastro.2021.11.036CrossRefGoogle Scholar
Sudarshan, B., Jagadeesh, G. and Saravanan, S. Experimental investigation on aerothermal effects of forward-facing cylindrical and parabolic cavity in hypersonic flow, Acta Astronaut., 2021, 185, pp 226235.10.1016/j.actaastro.2021.04.036CrossRefGoogle Scholar
Palharini, R.C., Scanlon, T.J. and Reese, J.M. Aerothermodynamic comparison of two-and three-dimensional rarefied hypersonic cavity flows, J. Spacecr. Rockets, 51, (5) (2014), pp 16191630.10.2514/1.A32746CrossRefGoogle Scholar
Sun, X., et al. A survey on numerical simulations of drag and heat reduction mechanism in supersonic/hypersonic flows, Chin. J. Aeronaut., 2019, 32, (4), pp 771784.10.1016/j.cja.2018.12.024CrossRefGoogle Scholar
Guo, G. and Luo, Q. Flowfield structure characteristics of the hypersonic flow over a cavity: From the continuum to the transition flow regimes, Acta Astronaut., 2019, 161, pp 87100.Google Scholar
Palharini, R.C., Scanlon, T.J. and White, C. Chemically reacting hypersonic flows over 3D cavities: Flowfield structure characterization, Comput. Fluids, 2018, 165, pp 173187.Google Scholar
Guo, G., Gong, J. and Zhang, M. Numerical investigation on flow characteristics of low-speed flow over a cavity with small aspect ratio, Int. J. Mech. Sci., 2020, 178, p 105632.10.1016/j.ijmecsci.2020.105632CrossRefGoogle Scholar
Guo, G. and Luo, Q. DSMC investigation on flow characteristics of rarefied hypersonic flow over a cavity with different geometric shapes, Int. J. Mech. Sci., 2018, 148, pp 496509.10.1016/j.ijmecsci.2018.09.022CrossRefGoogle Scholar
Jin, X., et al. Numerical simulation for the effects of angles of attack on two-and three-dimensional rarefied hypersonic cavity flows using the direct simulation Monte Carlo method, In 21st AIAA International Space Planes and Hypersonics Technologies Conference, p 2401, 2017.10.2514/6.2017-2401CrossRefGoogle Scholar
Leite, P.H. and Santos, W.F. Mach number impact on heat flux and pressure distributions of a hypersonic flow over combined gap/step geometries, In AIP Conference Proceedings, Vol. 1628(1). American Institute of Physics, pp 176184, 2014.Google Scholar
Guo, G. and Luo, Q. Numerical study of three-dimensional flow and aerodynamic characteristics of a cylindrical cavity in rarefied hypersonic flows, Int. J. Mech. Sci., 2022, 234, p 107703.10.1016/j.ijmecsci.2022.107703CrossRefGoogle Scholar
Jin, X., et al. Effects of corner rounding on aerothermodynamic properties in rarefied hypersonic flows over an open cavity, Aerosp. Sci. Technol., 2021, 110, p 106498.10.1016/j.ast.2021.106498CrossRefGoogle Scholar
Ivanov, M.S. Statistical Simulation of Reentry Capsule Aerodynamics in Hypersonic Near-Continuum Flows, Tech. rep. Russian Academy of Sciences Novosibirsk Inst of Theoretical and Applied …, 2011.Google Scholar
Klothakis, A.G., et al. Validation simulations of the DSMC code SPARTA, In AIP Conference Proceedings, Vol. 1786(1). AIP Publishing, p 050016, 2016.Google Scholar
Plimpton, S.J. and Gallis, M.A. SPARTA Direct Simulation Monte Carlo (DSMC) Simulator, USA: Sandia National Laboratories, 2015, http://sparta.sandia.gov Google Scholar
Bird, G.A. Approach to translational equilibrium in a rigid sphere gas, Phys. Fluids (1958–1988), 1963, 6, (10), pp 15181519.10.1063/1.1710976CrossRefGoogle Scholar
Bird, G.A. The DSMC Method. California, USA: CreateSpace Independent Publishing Platform, 2013.Google Scholar
Prasanth, P.S. and Kakkassery, J.K. Direct simulation Monte Carlo (DSMC): A numerical method for transition-regime flows-A review, J. Indian Inst. Sci., 2006, 86, (3), p 169.Google Scholar
Nanbu, K. Variable hard-sphere model for gas mixture, J. Phys. Soc. Japan, 1990, 59, (12), pp 43314333.Google Scholar
SPARTA Direct Simulation Monte Carlo (DSMC) Simulator. http://sparta.sandia.gov Google Scholar
Plimpton, S.J., et al. Direct simulation Monte Carlo on petaflop supercomputers and beyond, Phys. Fluids, 2019, 31, (8), p 086101.Google Scholar
Borgnakke, C. and Larsen, P.S. Statistical collision model for Monte Carlo simulation of polyatomic gas mixture, J. Computat. Phys., 1975, 18, (4), pp 405420.10.1016/0021-9991(75)90094-7CrossRefGoogle Scholar
Nanbu, K., Honda, T. and Igarashi, S. Probability of inelastic collisions for the Larsen- Borgnakke model to the Monte Carlo simulation method, J. Thermophys. Heat Transf., 1991, 5, (2), pp 251252.10.2514/3.257CrossRefGoogle Scholar
Bird, G.A. Perception of numerical methods in rarefied gasdynamics, Progr. Astronaut. Aeronaut., 1989, 117, pp 211226.10.2514/5.9781600865923.0211.0226CrossRefGoogle Scholar
Holman, T.D. and Boyd, I.D. Effects of continuum breakdown on the surface properties of a hypersonic sphere, J. Thermophys. Heat Transf., 2009, 23, (4), pp 660673.10.2514/1.43509CrossRefGoogle Scholar