Combined Streamline Upwind Petrov Galerkin method and segregated finite element algorithm for conjugate heat transfer problems
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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.
Key WordsConjugate Heat Transfer Finite Element Method
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- 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.Google Scholar
- 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.CrossRefMathSciNetMATHGoogle Scholar
- 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.Google Scholar
- White, F. M., 1991,Viscous Fluid Flow, 2nd ed McGraw-Hill, New York.Google Scholar