IInverse Problem of Coupled Radiative and Conductive Heat Transfer in a Cavity Filled with CO2 and H2O at Different Mole Fractions

Document Type : Research Article

Authors

1 Department of Mechanical Engineering, Faculty of Shahid Sadooghi, Yazd Branch, Technical and Vocational University (TVU), Yazd, Iran

2 Department of Mechanical Engineering, School of Engineering, Shahid Bahonar University of Kerman, Kerman, Iran

Abstract

This paper deals to an inverse analysis of combined conduction and radiation and heat transfer in a square cavity filled with radiating gases by numerical technique. The radiating medium    is considered an air mixture with CO2 and H2O at different mole fractions, which is treated as homogeneous, absorbing, emitting and scattering gray gas. The main purpose is to verify the effects   of gas mole fractions (carbon dioxide and water vapor) on the solution of inverse design problem. In the analysis, the conjugate gradient method is used to investigate the temperature distribution upon the heater surface to satisfy the prescribed temperature and heat flux distributions on the design surface. The temperature distributions over the heater surface while the enclosure is filled with different mole fractions of CO2 and H2O in an air mixture are calculated in this paper. It is found that the heater surface needs more power to maintain the design surface under uniform temperature and heat flux when the air mixture contains high mole fractions of CO2 and H2O. Numerical results reveal that by increasing the mole fractions of carbon dioxide and water vapor two times in the air mixture, the average heat flux over the heater surface increases about 16%. The present numerical results for the direct problems are compared with theoretical findings by other investigators and good consistencies are seen.

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References

[1] M. Omid Panah, S.A. Gandjalikhan Nassab, S. M. Hosseini Sarvari, A numerical approach to inverse boundary design problem of combined radiation-conduction with diffuse spectral design surface, Computational Thermal Sciences: An International Journal, 9(4) (2017) 335–349.
[2]  D. R. Rousse, Numerical predictions of two-dimensional conduction, convection, and radiation heat transfer— I. Formulation, International Journal of Thermal Sciences, 39 (2000) 315-331.
[3]  S. Chandrasekhar, Radiative transfer, Clarendon Press, Oxford, 1950.
[4]  B. G. Carlson, K. D. Lathrop, Transport theory —the method of discrete ordinates in: Computing methods of reactor physics, Gordon & Breach, New York, 1968, pp. 165–266.
[5]  W.A. Fiveland, Discrete-ordinates solutions of the radiative transport equation for rectangular enclosures, Journal of Heat Transfer, 106(4) (1984) 699-706.
[6]  J.S. Truelove, Three-dimensional radiation in absorbing- emitting-scattering in using the discrete ordinates approximation, Journal of Quantitative Spectroscopy & Radiative Transfer, 39 (1998) 27-31.
[7]  M.M. Razzaque, J.R. Howell, D.E. Klein, Coupled radiative and conductive heat transfer in a two dimensional rectangular with gray participating media using finite elements, Journal of Heat Transfer, 106 (1984) 613-619.
[8]  Z. Tan, Combined radiative and conductive transfer in two-dimensional emitting, absorbing, and anisotropic scattering square media, International Communications in Heat and Mass Transfer, 16 (1989) 391-401.
[9]  T.Y. Kim, S.W. Baek, Analysis of combined conductive and radiative heat transfer in a two dimensional rectangular enclosure using the discrete ordinates method, International Journal of Heat and Mass Transfer, 34 (1991) 2265-2273.
[10]    D.R. Rousse, G. Gautier, J.F. Sacadura, Numerical predictions of two-dimensional conduction, convection and radiation heat transfer – II. Validation, International Journal of Thermal Sciences, 39 (2000) 332-353.
[11]      P. Talukdar,  S.C.  Mishra,  Transient   conduction and radiation heat transfer with heat generation in a participating medium using the collapsed dimension method, Numerical Heat Transfer—Part A, 39 (1) (2001) 79-100.
[12]    S.K. Mahapatra, P. Nanda, A. Sarkar, Analysis of coupled conduction and radiation heat transfer in presence of participating medium using a hybrid method,
 
Heat Mass Transfer, 41 (2005) 890-898.
[13]   H. Amiri, S.H. Mansouri, A. Safavinejad, Combined conductive and radiative heat transfer in an anisotropic scattering participating medium with irregular geometries, International Journal of Thermal Sciences, 49 (2010) 492-503.
[14]     F.H. França, O.A. Ezekoye, J.R. Howell, Inverse boundary design combining radiation and convection heat transfer, ASME Journal of heat transfer, 123(5) (2001) 884-891.
[15]  A.C. Mossi, H.A. Vielmo, F.H.R. França, J.R. Howell, Inverse design involving combined radiative and turbulent convective heat transfer, International Journal of Heat and Mass Transfer, 51(11) (2008) 3217-3226.
[16]  B. Moghadassian, F. Kowsary, Inverse boundary design problem of natural convection–radiation in a square enclosure, International Journal of Thermal Sciences, 75 (2014) 116-126.
[17]    Y.K. Hong, S.W. Baek, M.Y. Kim, Inverse natural convection problem with radiation in rectangular enclosure, Numerical Heat Transfer, Part A: Applications, 57(5) (2010) 315-330.
[18]   F. Moufekkir, M.A. Moussaoui, A. Mezrhab, H. Naji,
D. Lemonnier, Numerical prediction  of  heat  transfer by natural convection and radiation in an enclosure filled with  an  isotropic  scattering  medium,  Journal  of Quantitative Spectroscopy and Radiative Transfer, 113(13) (2012) 1689-1704.
[19]   B. Mosavati, M. Mosavati, F. Kowsary, Solution of radiative inverse boundary design problem in a combined radiating-free convecting furnace, International Communications in Heat and Mass Transfer, 45 (2013) 130-136.
[20]   S.M. Hosseini Sarvari, J.R. Howell, S.H. Mansouri, Inverse boundary design conduction-radiation problem in irregular two-dimensional domains, Numerical Heat Transfer: Part B: Fundamentals, 44(3) (2003) 209-224.
[21]    S.H. Sarvari, Inverse determination of heat source distribution in conductive–radiative media with irregular geometry, Journal of Quantitative Spectroscopy and Radiative Transfer, 93(1) (2005) 383-395.
[22]  R. Das, S.C. Mishra, M. Ajith, R. Uppaluri, An inverse analysis of a transient 2-D conduction–radiation problem using the lattice Boltzmann method and the finite volume method coupled with the genetic algorithm, Journal of Quantitative Spectroscopy and Radiative Transfer, 109(11) (2008) 2060-2077.
[23]  H. Farzan, T. Loulou, S.M. Hosseini Sarvari, Estimation of applied heat flux at the surface of ablating materials by using sequential function specification method, Journal of Mechanical Science and Technology, 31(8) (2017) 3969–3979.
[24]    S. Bahraini, S. A. Gandjalikhan Nassab, S. M. H. Sarvari, Inverse Convection–Radiation Boundary Design Problem of Recess Flow with Different Conditions, Iranian Journal of Science and Technology, Transactions of Mechanical Engineering, 40(3) (2016) 215-222.
[25]  M. Omidpanah, S. A. Gandjalikhan Nassab, Combined radiative-convective inverse design problem in a 2-D channel filled with radiating gases, Modares Mechanical Engineering, 17(4) (2017) 117-124 (in Persian).
[26] C.G Suter, A. Meouchi Torbey, G.J.C. Levêque, S. Haussener, Inverse Analysis of Radiative Flux Maps for the Characterization of High Flux Sources, Journal of solar energy engineering, 141(2) (2019).
[27]  M. Omid Panah, S. A. Gandjalikhan Nassab, Inverse boundary design problem of combined radiation convection heat transfer in a duct with diffuse-spectral design surface, Thermal Science, International Scientific Journal, 23(1) (2019) 319-330.
[28]  R. Siegel, J.R. Howell, Thermal Radiation Heat Transfer, Hemisphere, New York, 1992.
[29]  M. F. Modest, Radiative heat transfer, Academic Press, California, 2013.
[30]  L.S. Rothman, I.E. Gordon, A. Barbe, D.C. Benner, P.F. Bernath, M. Birk, V. Boudon, L.R. Brown, A. Campargue, J.P. Champion, K. Chance, The HITRAN 2008 molecular spectroscopic database, Journal of Quantitative Spectroscopy and Radiative Transfer, 110(9) (2009) 533-572.
[31]  M.N. Ozisik, Inverse heat transfer: fundamentals and applications, CRC Press.
AUT Journal of Mechanical Engineering
Volume 4, Issue 2
Spring 2020
Pages 267-276

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