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Title A second-order time-accurate finite element method for analysis of conjugate heat transfer between solid and unsteady viscous flow
Edition Volume 23, Number 3
Call Number
ISBN/ISSN 1738-494X
Author(s) Atipong Malatip
Niphon Wansophark
Pramote Dechaumphai
Series Title Journal of Mechanical Science and Technology
GMD Electronic Journal
Language English
Publisher The Korean Society of Mechanical Engineers
Publishing Year 2009
Publishing Place Bangkok
Collation 15p
Abstract/Notes A fractional four-step finite element method for analyzing conjugate heat transfer between solid and unsteady viscous
flow is presented. The second-order semi-implicit Crank-Nicolson scheme is used for time integration and the
resulting nonlinear equations are linearized without losing the overall time accuracy. The streamline upwind Petrov-
Galerkin method (SUPG) is applied for the weighted formulation of the Navier-Stokes equations. The method uses a
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 method presented is to consistently couple heat transfer
along the fluid-solid interface. Five test cases, which are the lid-driven cavity flow, natural convection in a square cavity,
transient flow over a heated circular cylinder, forced convection cooling across rectangular blocks, and conjugate
natural convection in a square cavity with a conducting wall, are selected to evaluate the efficiency of the method presented.
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