Neural-finite difference method (NFDM) in development of improved differential approximation (IDA) and its application for coupled conduction and radiation heat transfer in a square enclosure: An experimental validation

Mallik, Ranjan K.; Mahapatra, S.S.; Sarkar, A.

doi:10.1016/j.ijheatmasstransfer.2008.04.073

“…Many authors have investigated this topic in order to predict the coupled heat transfer within these media which are widely used in industry or aerospace such as float glasses or foams. As soon as the geometry is complex, no analytical solution could be found anymore and it is then necessary to perform numerical simulations based for instance on finite element methods [2][3][4][5][6][7][8] or even hybrid finite volume/finite element discretization method [9] and also with neural-finite difference method [10][11] with experimental validation [11].…”

Section: Introductionmentioning

confidence: 99%

Heat transfer in a semi-transparent parallelogram shaped medium

Lazard¹

2016

IJHT

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The coupled conductive radiative heat transfer is investigated within a semi-transparent medium. The two dimensional case of a parallelogram is considered. The specificity of the approach proposed here consists in expressing the divergence term of the radiative heat flux that appears from the temperature. In that way, it remains only one differential equation to solve numerically. Compared to classical approaches, the equation is certainly more complicated but the method is more efficient because the problem becomes uncoupled. Results are presented for different parallelograms more or less flattened.

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“…Many authors have investigated this topic in order to predict the coupled heat transfer within these media which are widely used in industry or aerospace such as float glasses or foams. As soon as the geometry is complex, no analytical solution could be found anymore and it is then necessary to perform numerical simulations based for instance on finite element methods [2][3][4][5][6][7][8] or even hybrid finite volume/finite element discretization method [9] and also with neural-finite difference method [10][11] with experimental validation [11].…”

Section: Introductionmentioning

confidence: 99%

Heat transfer in a semi-transparent parallelogram shaped medium

Lazard¹

2016

IJHT

0

View full text Add to dashboard Cite

The coupled conductive radiative heat transfer is investigated within a semi-transparent medium. The two dimensional case of a parallelogram is considered. The specificity of the approach proposed here consists in expressing the divergence term of the radiative heat flux that appears from the temperature. In that way, it remains only one differential equation to solve numerically. Compared to classical approaches, the equation is certainly more complicated but the method is more efficient because the problem becomes uncoupled. Results are presented for different parallelograms more or less flattened.

show abstract