Combined Streamline Upwind Petrov Galerkin method and segregated finite element algorithm for conjugate heat transfer problems

Malatip, Atipong; Wansophark, Niphon; Dechaumphai, Pramote

doi:10.1007/bf02916278

Cited by 23 publications

(10 citation statements)

References 13 publications

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“…Comprehensive reviews of the existing studies on these topics can be found in recent monographs by Nield and Bejan [8], Vafai [9], AlAmiri [10], Ingham and Pop [11,12], and Pop and Ingham [13]. Conjugate natural convection in enclosures where heat conduction in a solid wall of finite thickness is coupled with heat convection in an adjacent fluid has been studied extensively in the literature [14][15][16][17][18][19]. Kim and Viskanta [14,15] analyzed experimentally and numerically the effects of wall conductance on natural convection in square enclosures.…”

Section: Introductionmentioning

confidence: 99%

Steady-state conjugate natural convection in a fluid-saturated porous cavity

Al-Amiri

Khanafer

Pop

2008

International Journal of Heat and Mass Transfer

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Section: Introductionmentioning

confidence: 99%

Steady-state conjugate natural convection in a fluid-saturated porous cavity

Al-Amiri

Khanafer

Pop

2008

International Journal of Heat and Mass Transfer

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“…The paper extends the splitting finite element algorithm proposed by Choi, et al [5] to conjugate heat transfer problem [14]. Triangular finite element is employed herein for deriving the associated finite element equations.…”

Section: Introductionmentioning

confidence: 96%

“…Misra and Sarkar [13] used the standard Galerkin formulation to solve the continuity, momentum and energy equations simultaneously. Malatip, et al [14] developed a combined SUPG and segregate finite element method for analyzing steady conjugate heat transfer problems. Al-Amiri, et al [15] used finite element method to study the steady-state natural convection in a fluid-saturated porous cavity of a conducting vertical wall.…”

Section: Introductionmentioning

confidence: 99%

A second-order time-accurate finite element method for analysis of conjugate heat transfer between solid and unsteady viscous flow

2009

Self Cite

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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 PetrovGalerkin 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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“…Misra and Sarkar [1] used the standard Galerkin formulation to solve the continuity, momentum, and energy equations simultaneously. Malatip et al [2] developed a combined streamline upwind PetrovGalerkin (SUPG) formulation and the segregate finite element method to analyze the steady conjugate heat transfer problems. Malatip et al [3] also developed a fractional step method to analyze the unsteady conjugate heat transfer problems.…”

Section: Introductionmentioning

confidence: 99%

Fractional four-step finite element method for analysis of thermally coupled fluid-solid interaction problems

Malatip

Wansophark

Dechaumphai

2012

Appl. Math. Mech.-Engl. Ed.

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An integrated fluid-thermal-structural analysis approach is presented. In this approach, the heat conduction in a solid is coupled with the heat convection in the viscous flow of the fluid resulting in the thermal stress in the solid. The fractional four-step finite element method and the streamline upwind Petrov-Galerkin (SUPG) method are used to analyze the viscous thermal flow in the fluid. Analyses of the heat transfer and the thermal stress in the solid are performed by the Galerkin method. The second-order semiimplicit Crank-Nicolson scheme is used for the time integration. The resulting nonlinear equations are linearized to improve the computational efficiency. The integrated analysis method uses a three-node triangular element with equal-order interpolation functions for the fluid velocity components, the pressure, the temperature, and the solid displacements to simplify the overall finite element formulation. The main advantage of the present method is to consistently couple the heat transfer along the fluid-solid interface. Results of several tested problems show effectiveness of the present finite element method, which provides insight into the integrated fluid-thermal-structural interaction phenomena.

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Combined Streamline Upwind Petrov Galerkin method and segregated finite element algorithm for conjugate heat transfer problems

Cited by 23 publications

References 13 publications

Steady-state conjugate natural convection in a fluid-saturated porous cavity

Steady-state conjugate natural convection in a fluid-saturated porous cavity

A second-order time-accurate finite element method for analysis of conjugate heat transfer between solid and unsteady viscous flow

Fractional four-step finite element method for analysis of thermally coupled fluid-solid interaction problems

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