Journal of Mechanical Science and Technology

  • 제20권10호
  • /
  • Pages.1741-1752
  • /
  • 2006
  • /
  • 1738-494X(pISSN)
  • /
  • 1976-3824(eISSN)
대한기계학회 (The Korean Society of Mechanical Engineers)
권호 표지

Combined Streamline Upwind Petrov Galerkin Method and Segregated Finite Element Algorithm for Conjugate Heat Transfer Problems

  • Malatip Atipong (Department of Mechanical Engineering, Faculty of Engineering, Chulalongkorn University) ;
  • Wansophark Niphon (Department of Mechanical Engineering, Faculty of Engineering, Chulalongkorn University) ;
  • Dechaumphai Pramote (Department of Mechanical Engineering, Faculty of Engineering, Chulalongkorn University)
  • 발행 : 2006.10.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

A combined Streamline Upwind Petrov-Galerkin method (SUPG) and segregated finite element algorithm for solving conjugate heat transfer problems where heat conduction in a solid is coupled with heat convection in viscous fluid flow is presented. The Streamline Upwind Petrov-Galerkin method is used for the analysis of viscous thermal flow in the fluid region, while 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 presented method is to consistently couple heat transfer along the fluid-solid interface. Four test cases, which are the conjugate Couette flow problem in parallel plate channel, the counter-flow in heat exchanger, the conjugate natural convection in a square cavity with a conducting wall, and the conjugate natural convection and conduction from heated cylinder in square cavity, are selected to evaluate efficiency of the presented method.

키워드

참고문헌

  1. Bae, K. Y., Jeong, H. M. and Chung, H. S., 2004, 'Study on Natural Convection in a Rectangular Enclosure with a Heating Source,' KSME International Journal, Vol. 18, pp.294-301
  2. Brooks, A. N. and Hughes, T. J. R., 1982, 'Streamline Upwind/Petrov-Galerkin Formulations for Convection Dominated Flows with Particular Emphasis on the Incompressible Navier-Stokes Equations,' Computer Methods in Applied Mechanics and Engineering, Vol. 32, pp. 199-259 https://doi.org/10.1016/0045-7825(82)90071-8
  3. Chen, X. and Han, P., 2000, 'A Note on The Solution of Conjugate Heat Transfer Problems Using SIMPLE-Like Algorithms,' International Journal of Heat and Fluid Flow, Vol. 21, pp. 463-467 https://doi.org/10.1016/S0142-727X(00)00028-X
  4. Dong, S. F. and Li, Y. T., 2004, 'Conjugate of Natural Convection and Conduction in a Complicated Enclosure,' International Journal of Heat and Mass Transfer, Vol. 47, pp.2233-2239 https://doi.org/10.1016/j.ijheatmasstransfer.2003.11.018
  5. Du Toit, C. G., 1998, 'Finite Element Solution of Navier-Stokes Equations for Incompressible Flow using a Segregated Algorithm,' Computer Methods in Applied Mechanics and Engineering, pp.131-141 https://doi.org/10.1016/S0045-7825(97)00107-2
  6. He, M., Kassab, A. J. Bishop, P. J. and Minardi, A., 1995, 'An Iterative FDM/BEM Method for the Conjugate Heat Transfer Problem - Parallel Plate Channel with Constant Outside Temperature,' Engineering Analysis with Boundary Elements, Vol. 15, pp. 43-50 https://doi.org/10.1016/0955-7997(95)00007-B
  7. Hribersek, M. and Kuhn, G., 2000, 'Conjugate Heat Transfer by Boundary-Domain Integral Method,' Engineering Analysis with Boundary Elements, Vol. 24, pp. 297-305 https://doi.org/10.1016/S0955-7997(00)00008-4
  8. Kim, M. S. and Sengupta, A., 2005, 'Unsteady Viscous Flow over Elliptic Cylinders At Various Thickness with Different Reynolds Numbers,' Journal of Mechanical Science and Technology (KSME I. J.). Vol. 19, pp. 877-886 https://doi.org/10.1007/BF02916136
  9. Misra. D. and Sarkar. A. 1997. 'Finite Element Analysis of Conjugate Natural Convection in a Square Enclosure with a Conducting Vertical Wall,' Computer Methods in Applied Mechanics and Engineering, Vol. 141, pp.205-219 https://doi.org/10.1016/S0045-7825(96)01109-7
  10. Patankar, S. V., 1980, Numerical Heat Transfer and Fluid Flow, McGraw-Hill, New York
  11. Rice, J. G. and Schnipke, R. J., 1986, 'An EqualOrder Velocity-Pressure Formulation that does not Exhibit Spurious Pressure Modes,' Computer Methods in Applied Mechanics and Engineering, Vol. 58, pp. 135-149 https://doi.org/10.1016/0045-7825(86)90093-9
  12. Schafer, M. and Teschauer, I., 2001, 'Numerical Simulation of Coupled Fluid-Solid Problems,' Computer Methods in Applied Mechanics and Engineering, Vol. 190, pp.3645-3667 https://doi.org/10.1016/S0045-7825(00)00290-5
  13. Sugavanam, R., Ortega, A. and Choi, C. Y., 1995, 'A Numerical Investigation of Conjugate Heat Transfer from a Flush Heat Source on a Conductive Board in Laminar Channel Flow,' International Journal of Heat and Mass Transfer, Vol. 38, pp. 2969-2984 https://doi.org/10.1016/0017-9310(95)00039-C
  14. Wansophark, N. and Dechaumphai, P., 2004, 'Combined Adaptive Meshing Technique and Segregated Finite Element Algorithm for Analysis of Free and Forced Convection Heat Transfer,' Finite Elements in Analysis and Design, Vol. 40, pp.645-663 https://doi.org/10.1016/S0168-874X(03)00101-X
  15. White, F. M., 1991, Viscous Fluid Flow, 2nd ed McGraw-Hill, New York
  16. Zienkiewicz, O. C. and Taylor, R. L., 2000, The Finite Element Method, 5th ed (McGrawHill Butterworth-Heinemann, Oxford, 2000)