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Calculation of conjugate heat transfer problem with volumetric heat generation using the Galerkin method. (English) Zbl 1129.80004
In this paper it is used the Galerkin method for solving conjugate heat transfer type problems, provided a volumetric heat generation is present in a solid phase. There are obtained detailed results related to velocity and temperature fields either in the coolant flow or in the heat conducting structure. The numerical results justify that the thermal conductivity and the volumetric heat generation in the solid structure have significant influence in the heat transfer.

80A20 Heat and mass transfer, heat flow (MSC2010)
37L65 Special approximation methods (nonlinear Galerkin, etc.) for infinite-dimensional dissipative dynamical systems
76M12 Finite volume methods applied to problems in fluid mechanics
80M20 Finite difference methods applied to problems in thermodynamics and heat transfer
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[1] Kays, W.S.; London, A.L., Compact heat exchangers, (1998), Krieger Publishing Company Malabar, FL, pp. 152-155
[2] Launder, B.E.; Massey, T.H., The numerical prediction of viscous flow and heat transfer in tube banks, J. heat transfer, 100, 565-571, (1978)
[3] Johnson, A.A.; Tezduyar, T.E.; Lion, J., Numerical simulations of flows past periodic arrays of cylinders, Comput. mech., 11, 371-383, (1983)
[4] Fujii, M.; Fujii, T.; Nagata, T., A numerical analysis of laminar flow and heat transfer of air in an in-line tube bank, Numer. heat transfer, 7, 89-102, (1984) · Zbl 0558.76031
[5] Noghrehkar, G.R.; Kawaji, M.; Chan, A.M.C., Investigation of two-phase flow regimes in tube bundles under cross-flow conditions, Int. J. multiphase flow, 25, 857-874, (1999) · Zbl 1137.76699
[6] Žukauskas, A., Heat transfer from tubes in crossflow, Adv. heat transfer, 8, 93-160, (1972)
[7] Žukauskas, A., Convective heat transfer in cross flow, handbook of single-phase convective, (1987), Wiley & Sons New York
[8] Žukauskas; Ulinskas, A., Efficiency parameters for heat transfer in tube banks, J. heat transfer eng., 5, 1, 19-25, (1985)
[9] Al-Jamal, K.; Khashashneh, H., Experimental investigation in heat transfer of triangular and pin fins arrays, Int. J. heat mass transfer, 34, 159-162, (1998)
[10] Bejan, A., The optimal spacing for cylinders in crossflow forced convection, J. heat transfer, 117, 767-770, (1995)
[11] Bejan, A.; Sciubba, E., The optimal spacing of parallel plates cooled by forced convection, Int. J. heat mass transfer, 35, 12, 3264-3529, (1992)
[12] Fabbri, G., Optimum performances of longitudinal convective fins with symmetrical and asymmetrical profiles, Int. J. heat fluid flow, 20, 634-641, (1999)
[13] Ledezma, G.; Bejan, A., Heat sinks with sloped plate fins in natural and forced convection, Int. J. heat mass transfer, 39, 9, 1773-1783, (1996)
[14] Yüncü, H.; Anbar, G., An experimental investigation on performance of rectangular fins on a horizontal base in free convection heat transfer, Heat mass transfer, 33, 507-514, (1998)
[15] A. Horvat, Calculation of Conjugate Heat Transfer in a Heat Sink Using Volume Averaging Technique (VAT), M.Sc. Thesis, University of California, Los Angeles, CA, 2002
[16] P.Y.P. Chen, J.J. Thompson, Conjugate heat transfer problem with nuclear heating, 2nd Conf. on Struct. Mech. in Reactor Tech., Berlin, 1973, Proceedings, L1/3
[17] Lebon, G.; Mathieu, P., A numerical calculation of nonlinear transient heat conduction in the fuel elements of a nuclear reactor, Int. J. heat mass transfer, 22, 8, 1187-1198, (1979) · Zbl 0407.76049
[18] Lee, S.Y.; Sindelar, R.L.; Losey, D.C., Thermal modeling and performance analysis of interim dry storage and geologic disposal facilities for spent nuclear fuel, Radioactive waste manage. disposal, 131, 1, 124-151, (2000)
[19] Travkin, V.S.; Catton, I., Transport phenomena in heterogeneous media based on volume averaging theory, Adv. heat transfer, 34, 1-143, (1999) · Zbl 0970.76099
[20] Horvat, A.; Catton, I., Numerical technique for modeling conjugate heat transfer in an electronic device heat sink, Int. J. heat mass transfer, 46, 2155-2168, (2003) · Zbl 1113.76465
[21] Catton, I., Convection in a closed rectangular region: the onset of motion, Trans. ASME, 1, 186-188, (1970)
[22] Catton, I., Effect of wall conduction on the stability of a fluid in a rectangular region heated from below, Trans. ASME, 1, 446-452, (1972)
[23] McDonough, J.M.; Catton, I., A mixed finite difference-Galerkin procedure for 2D convection in a square box, Int. J. heat mass transfer, 25, 1137-1146, (1982) · Zbl 0488.76089
[24] Howle, L.A., A comparison of the reduced Galerkin and pseudo-spectral methods for simulation of steady Rayleigh-Bénard convection, Int. J. heat mass transfer, 39, 12, 2401-2407, (1996) · Zbl 0964.76519
[25] Horvat, A.; Catton, I., Application of Galerkin method to conjugate heat transfer calculation, Numerical heat transfer B: fundamentals, 44, 509-531, (2003)
[26] I. Catton, P. Adinolfi, O. Alquaddoomi, Fluid-elastic instability in tube arrays, Trans. of the American Nuclear Society: Winter Annual Meeting 2002, Washington DC, November 2002
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