Finite-Analytic Numerical Solution of Heat Transfer in Two-Dimensional Cavity Flow

Chen, Ching-Jen; Naseri-Neshat, H.; Ho, Kuo-San

doi:10.1080/01495728108961786

Cited by 74 publications

(33 citation statements)

References 11 publications

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“…The Finite Analytic (FA) method was first proposed for two-dimensional fluid flow and heat transfer problems (Chen et al, 1981(Chen et al, , 1984. It was further developed by Chen et al (1993Chen et al ( , 1995 to solve complex three-dimensional problems, and was also applied to fluid flows over complex geometries (Bravo, 1991;Lin, 1997).…”

Section: Finite Analytic Methodsmentioning

confidence: 99%

“…Cnh and Cp are the FA coefficients. Details of the derivation are given in Chen et al (1981Chen et al ( , 1984Chen et al ( , 1987 and are available at http://ceb2l3.eng.fsu.edu.…”

Section: -Point Fa Elementmentioning

confidence: 99%

“…For example, central difference schemes have been found to be stable at low cell Reynolds numbers (Reynolds number based on the local velocity and cell dimension) and unstable at high cell Reynolds numbers, typically larger than a value of two. Chen et al (1981Chen et al ( , 1984Chen et al ( , 1995 proposed the Finite Analytic (FA) method to discretize numerically the partial differential equations which govern fluid flow and heat transfer. This is accomplished by dividing the solution domain into small elements and utilizing the local analytic solution in each element to discretize the governing equations into a system of linear algebraic equations which can be solved numerically.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Modeling of complex flows and heat transfer

Chen

Lin

Haik

et al. 1998

J Vis

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This paper presents the numerical modeling of complex flows and heat transfer. The FiniteAnalytic method is used to discretize the transport equations. The diagonal Cartesian method is proposed to model fluid flows and heat transfer over complex geometries. A three-dimensional channel flow with conjugate heat transfer is simulated. By the diagonal Cartesian method and 5-point Finite Analytic scheme, a grooved channel flow and flow in a casting bank at different Reynolds numbers are modeled. Simulations by both the diagonal Cartesian method and the traditional saw-tooth Cartesian method indicates the diagonal Cartesian method improves the modeling of flows, due to the more accurate approximation of complex boundaries. Heat transfer in two-dimensional finned compact heat exchanger is also studied. An improved heat exchanger is proposed based on the numerical prediction of heat transfer.

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Section: Finite Analytic Methodsmentioning

confidence: 99%

“…Cnh and Cp are the FA coefficients. Details of the derivation are given in Chen et al (1981Chen et al ( , 1984Chen et al ( , 1987 and are available at http://ceb2l3.eng.fsu.edu.…”

Section: -Point Fa Elementmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Modeling of complex flows and heat transfer

Chen

Lin

Haik

et al. 1998

J Vis

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show abstract

“…The first category is concerned with a horizontal sliding lid which encompasses the top wall [8][9][10][11][12], bottom sliding wall [13,14] or an oscillating lid [15,16]. These studies have been extended for three dimensional cavities [17,18].…”

Section: Introductionmentioning

confidence: 99%

Analysis of mixed convection flows within a square cavity with uniform and non-uniform heating of bottom wall

Basak¹,

Roy²,

Sharma³

et al. 2009

International Journal of Thermal Sciences

145

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“…Shankar and Deshpande [1] reviewed and showed its applications from a scientific and engineering point of view. Thus, some researchers proposed numerical and experimental technique to solve temperature and flow field in that geometry for non-porous medium [2][3][4][5][6][7][8][9].…”

Section: Introductionmentioning

confidence: 99%

Combined convection heat transfer in a porous lid-driven enclosure due to heater with finite length

Öztop

2006

International Communications in Heat and Mass Transfer

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Finite-Analytic Numerical Solution of Heat Transfer in Two-Dimensional Cavity Flow

Cited by 74 publications

References 11 publications

Modeling of complex flows and heat transfer

Modeling of complex flows and heat transfer

Analysis of mixed convection flows within a square cavity with uniform and non-uniform heating of bottom wall

Combined convection heat transfer in a porous lid-driven enclosure due to heater with finite length

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