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High Efficient Numerical Simulation of Infrared Radiation from a Hot Exhaust Nozzle

Published online by Cambridge University Press:  20 August 2015

Haiyang Hu ,
Peng Bai  and
Qiang Wang
Haiyang Hu*
Affiliation:
China Academy of Aerospace Aerodynamics, Beijing 100074, P.R. China
Peng Bai*
Affiliation:
China Academy of Aerospace Aerodynamics, Beijing 100074, P.R. China
Qiang Wang*
Affiliation:
School of Jet Propulsion, Beihang University, Beijing 100191, P.R. China
*
Email:barbapapa@sjp.buaa.edu.cn
Email:baipeng73@yahoo.com.cn
Corresponding author.Email:Qwang518@buaa.edu.cn
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Abstract

A coupled model, capable of simulating transonic flow, solid heat conduction, species transport, and gas radiation, is developed that provides better computational treatment of infrared radiation from hot exhaust nozzles. The modeling of gas radiation is based on a statistical narrow-band correlated-k analysis, whose parameters are deduced from the HITEMP line-by-line database. To improve computational efficiency, several methods are employed. A mixed analytical-numerical algorithm is described for the stiffness of the two-equation turbulence model and an alternating direction implicit pretreatment for the ill-conditioned matrix appearing in the coupled problem of flow and solid heat conduction. Moreover, an improved multigrid method and a symmetry plane treatment of the radiation transfer-energy equations are also introduced. Four numerical simulations are given to confirm the efficiency and accuracy of the numerical method. Finally, an account of the aerothermodynamics and infrared characteristics for two types of nozzles are presented. The infrared radiation intensity of the Chevron ejecting nozzle is clearly smaller than that of the common axisymmetric ejecting nozzle. All computations can be performed on a personal computer.

Keywords

65L2074A1576F6076H0578A40Numerical simulationinfrared radiationexhaust nozzlestiffness of two-equation turbulence model
Type
Research Article
Information
Communications in Computational Physics , Volume 11 , Issue 4 , April 2012 , pp. 1182 - 1204
Copyright
Copyright © Global Science Press Limited 2012

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References

[1]Tan, H., Xia, X., Liu, L. and Ruan, L.,. Numerical calculation of infrared radiative properties and transfer, Harbin: Harbin Institute of Technology Press, 2006 (in Chinese).Google Scholar
[2]Strohle, J. and Coelho, P. J., On the application of the exponential wide band model to the calculation of radiative heat transfer in one- and two-dimensional enclosures, Int. J. Heat Mass Transfer, 45 (2002), 2129–2139.CrossRefGoogle Scholar
[3]Young, S. J., Nonisothermal band model theory, Journal of Quantitative Spectroscopy & Radiation Transfer, 18 (1976), 1–28.Google Scholar
[4]Marin, O. and Buckius, R. O., Wide band correlated-k approachto thermal radiative transport in nonhomogeneous media, J. Heat Transfer, 119 (1997), 719–729.Google Scholar
[5]Liu, F., Smallwood, G. J. and Gulder, O. L., Application of the statistical narrow-band correlated-k method to low-resolution spectral intensity and radiative heat transfer calculation — effects of the quadrature scheme, Heat and Mass Transfer, 43 (2000), 3119–3135.Google Scholar
[6]Strohle, J., Assessment of the re-ordered wide band model for non-grey radiative transfer calculations in 3D enclosures, Journal of Quantitative Spectroscopy & Radiative Transfer, 109 (2008), 1622–1640.Google Scholar
[7]Roe, P. L., Approximate Riemann solvers, parameter vectors, and difference schemes, J. Comput. Phys., 43 (1981), 357–372.Google Scholar
[8]Gerlinger, P. and Algermissen, J., Numerical simulation of supersonic combustion problems using an implicit LU-SGS scheme and k-epsilon or q-omega turbulence closure, AIAA-93-5021.Google Scholar
[9]Speziale, C. G. and Thangam, S., Analysis of an RNG based turbulence model for separated flows, Int. J. Eng. Sci., 10 (1992), 1379–1388.Google Scholar
[10]Zhou, N. and Krishnan, A., Numerical simulation of coupled heat transfer characteristics for flow at supercritical pressure, AIAA 96-178.Google Scholar
[11]Imlay, S. T., Oetrisno, M. and Roberts, D. W., Coupled flow and heat transfer analysis using structured-unstructured grids, AIAA 96-0622.Google Scholar
[12]Soufiani, A. and Taine, J., High temperature gas radiative property parameters of statistical narrow-band model for H2O CO2 and CO and correlated-k model for H2O and CO2, Int. J.Heat Mass Transfer, 40 (1997), 987–991.Google Scholar
[13]Yan, Q., Numerical Analysis, Beijing: Beijing University of Aeronautics and Astronautics Press, 2000 (in Chinese).Google Scholar
[14]Liu, F., Smallwood, G. J. and Gulder, O. L., Application of the statistical narrow-band correlated-k method to non-grey gas radiation in CO2-H2O mixtures: approximate treatments of overlapping bands, Journal of Quantitative Spectroscopy & Radiative Transfer, 68 (2001), 401–417.Google Scholar
[15] ANSYS FLUENT 12.0 Theory Guide, 2009.Google Scholar
[16]Zheng, Y., Shen, Y., Qiu, D. and Xia, J., Efficient elliptic solver for the mild slope equation using BI-CGSTAB method, China Ocean Engineering, 14 (2000), 175–184.Google Scholar
[17]Chen, R. F. and Wang, Z. J., An improved LU-SGS scheme with faster convergence for unstructured grids of arbitrary topology, AIAA 99-4935.Google Scholar
[18]Merci, B., Steelant, J., Vierendeels, J., Riemslagh, K. and Dick, E., Treatment of source terms and high aspect ratio meshes in turbulence modelling, AIAA 99-3371.Google Scholar
[19]Harten, A., High resolution schemes for hyperbolic systems of conservation laws, J. Comput. Phys., 49 (1983), 357–393.Google Scholar
[20]Du, T., Wu, Z.-N. and Yang, Y., Mixed analytical/numerical method and its application to problems of turbulent flow simulation, Acta Aeronautica Et Astronautica Sinica, 27 (2006), 198–203 (in Chinese).Google Scholar
[21]Du, T., Shi, J. and Wu, Z.-N., Mixed analytical/numerical method for flow equations with a source term, Computers & Fluids, 32 (2003), 659–690.Google Scholar
[22]Merci, B., Steelant, J. and Vierendeels, J., Computational treatment of source terms in two-equation turbulence models, AIAA J., 38 (2000), 2085–2093.CrossRefGoogle Scholar
[23]Zhao, Y., Stable computation of turbulent flows with a low-Reynolds-number k-e turbulence model and explicit solver, Advances in Engineering Software, 28 (1997), 487–499.Google Scholar
[24]Meijerink, J. A. and Van der Vorst, H. A., Guidelines for the usage of incomplete decompositions in solving sets of liner equations as they occur, J. Comput. Phys., 44 (1981), 134–155.Google Scholar
[25]Brian, P. L. T., A finite-difference method of high-order accuracy for the solution of three-dimensional transient heat conduction problems, AIChE J., 7 (1961), 367–370.Google Scholar
[26]Carlson, J. R., Computational prediction of isolated performance of an axisymmetric nozzle at Mach number 0.90, NASA T-M-4506, 1994.Google Scholar
[27]Liu, Q., Cinnella, P. and Tang, L., Coupling heat transfer and fluid flow solvers for multi-disciplinary simulations, AIAA 2004-996.Google Scholar
[28]Chui, and Hughes, P. M. J., Implementation of the finite volume method for calculation radiative transfer in pulverized fuel flame, Combustion Science and Technology, 92 (1993), 225–242.Google Scholar
[29]Dong, S., Tan, H., Yu, Q. and Liu, L., Infrared radiative spectral band-model parameters for water vapor in the 300-3000Ktemperature range, Journal of Engineering for Thermal Energy and Power, 16 (2001), 33–38 (in Chinese).Google Scholar
[30]Ludwig, C. B., Ferriso, C. C. and Acton, L., High-temperature spectral emissivities and total intensities of the 15-m band system of CO2, JOSA, 56 (1966), 1685–1692.Google Scholar
[31]Huang, H.-Y. and Wang, Q., Coupled flow-heat transfer simulations of axisymmetric nozzle with chevron trailing edge, The 9th Asian International Conference on Fluid Machinery, AICFM9-079, 2007.Google Scholar