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Streamline upwind finite element method for conjugate heat transfer problems 被引量：3

Streamline upwind finite element method for conjugate heat transfer problems
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摘要 This paper presents a combined finite element method for solving conjugate heat transfer problems where heat conduction in a solid is coupled with heat convection in viscous fluid flow. The streamline upwind finite element method is used for the analysis of thermal viscous flow in the fluid region, whereas the analysis of heat conduction in solid region is performed by the Galerkin method. The method uses the three-node triangular element with equal-order interpolation functions for all the variables of the velocity components, the pressure and the temperature. The main advantage of the proposed method is to consistently couple heat transfer along the fluid-solid interface. Three test cases, i.e. conjugate Couette flow problem in parallel plate channel, counter-flow in heat exchanger, and conjugate natural convection in a square cavity with a conducting wall, are selected to evaluate the efficiency of the present method. This paper presents a combined finite element method for solving conjugate heat transfer problems where heat conduction in a solid is coupled with heat convection in viscous fluid flow. The streamline upwind finite element method is used for the analysis of thermal viscous flow in the fluid region, whereas the analysis of heat conduction in solid region is performed by the Galerkin method. The method uses the three-node triangular element with equal-order interpolation functions for all the variables of the velocity components, the pressure and the temperature. The main advantage of the proposed method is to consistently couple heat transfer along the fluid-solid interface. Three test cases, i.e. conjugate Couette flow problem in parallel plate channel, counter-flow in heat exchanger, and conjugate natural convection in a square cavity with a conducting wall, are selected to evaluate the efficiency of the present method.
作者 Niphon Wansophark Atipong Malatip Pramote Dechaumphai
机构地区 Department of Mechanical Engineering
出处 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2005年第5期436-443,共8页 力学学报（英文版）
关键词 Streamline upwind.Conjugate heat transfer.Finite element method Streamline upwind.Conjugate heat transfer.Finite element method
分类号 O357 [理学—流体力学]
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参考文献14

  • 1Vynnycky, M, Kimura, S, Kanev, K, Pop, I.: Forced convection heat transfer from a flat plate: the conjugate problem. Int. J. Heat Mass Transfer 41, 45-59(1998).
  • 2Chen, X, Han, R:A note on thesolution of conjugate heat transfer problems using SIMPLE-like algorithms. Int. J. Heat Fluid Flow,21,463-467(2000).
  • 3Schafer, M, Teschauer, I.: Numerical simulation of coupled fluid-solid problems. Comput. Meth. Appl. Mech. Eng. 190, 3645-3667(2001).
  • 4Horvat, 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).
  • 5Misra, D, Sarkar, A.: Finite element analysis of conjugate natural convection in a square enclosure with a conducting vertical wall.Comput. Meth. Appl. Mech. Eng. 141, 205-219(1997).
  • 6Cesini, G, Paronci-ni, M, Corte]la, G, Manzan, M.: Natural convection from a horizontal cylinder in a rectangular cavity. Int. J.Heat Mass Transfer, 42, 1801-1811(1999).
  • 7Wansophark, N, Dechaumphai, R: Enhancement of streamline upwinding finite element solutions by adaptive meshing technique.JSME Int. J. Series B, 45, 770-779(2002).
  • 8Choi, H.G,Yoo, J.Y.: Streamline upwind scheme for the segregated formulation of the Navier-Stokes equation. Numer. Heat Transfer.Part B, 25, 145-161(1994).
  • 9Wansophark, N, Dechaumphai, E: Combined adaptive meshing technique and segregated finite element algorithm for analysis of free and forced convection heat transfer. Finite Elem. Anal. Desn.40, 645-663(2004).
  • 10Sugavanam, R. Ortega, A, Choi, C.Y.: A numerical investigation of conjugate heat transfer from a flush heat source on a conductive board in laminar channel flow. Int. J. Heat Mass Transfer, 38,2969-2984(1995).

同被引文献13

  • 1Misra D, Sarkar A. Finite element analysis of conjugate natural convection in a square enclo- sure with a conducting vertical wall[ J]. Computer Methods in Applied Mechanics and Engi- neering, 1997, 141 ( 3/4 ) : 205-219.
  • 2Malatip A, Wansophark N, Dechaumphai P. Combined streamline upwind Petrov Galerkin method and segregated finite element algorithm for conjugated heat transfer problems[J]. Journal of Mechanical Science and Technology, 2006, 20(10) :1741-1752.
  • 3Malatip A, Wansophark N, Dechaumphai P. A second-order time-accurate finite element method for analysis of conjugate heat transfer between solid and unsteady viscous flow[ J]. Journal of Mechanical Science' and Technology, 2009, 23(3 ): 775-789.
  • 4Al-Amiri A, Khanafer K, Pop I. Steady-state conjugate natural convection in a fluid-saturated porous cavity[ J]. International Journal of Heat and Mass Transfer, 2008, 51(17/18) : 4250- 4275.
  • 5Schafer M, Teschauer I. Numerical simulation of coupled fluid-solid problems[ J]. Computer Methods in Applied Mechanics and Engineering, 2001, 190 (28) : 3645-3667.
  • 6Brooks A N, Hughes T J R. Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations[J]. Computer Methods in Applied Mechanics and Engineering, 1982, 32(1/3) :199-259.
  • 7Zienkiewicz O C, Taylor R L, Nithiarasy P. The Finite Element Method for Fluid Daynamics [ M ].5th ed. Oxford: Elsevier Butterworth-Heinemann, 2005.
  • 8Dechaumphai P. Finite Elemen,t Method : Fundamentals and Applications [ M]. Oxford: Al- pha Science International, 2010.
  • 9Choi H G, Choi H, Yoo J Y. A fractional four-step finite element formulation of the unsteady incompressible Navier-Stokes equations using SUPG and linear equal-order element methods [ J ]. Computer Methods in Applied Mechanics and Engineering, 1997, 143 (3/4) : 333-348.
  • 10Kim J, Moin P. Application of a fractional step method to incompressible Navier-Stokes equa- tions[J]. Journal of Computational Physics, 1985, 59(2) : 308-323.

引证文献3

二级引证文献5

Acta Mechanica Sinica
2005年 第5期

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