Unsteady conjugate forced convection heat/mass transfer from a finite flat plate

Juncu, Gheorghe

doi:10.1016/j.ijthermalsci.2007.09.002

Cited by 22 publications

(9 citation statements)

References 39 publications

(53 reference statements)

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“…In what follows, it is shown that the DTM is capable of providing a quick and highly accurate power series solution of Eq. (11) satisfying the boundary conditions (12) and (13).…”

Section: Mathematical Description Of the Problemmentioning

confidence: 99%

“…Numerical and numerical-analytical solutions of the conjugate heat/mass-transfer from a finite flat plate have been also performed by many authors in recent years [8][9][10][11][12][13][14][15][16]. For example, heat transfer associated with forced convection flow over a conducting slab sited in an aligned uniform stream has been investigated analytically and numerically by Vynnycky et al [8].…”

Section: Introductionmentioning

confidence: 99%

“…Mobedi [12] carried out a numerical investigation to evaluate the effect of conduction of horizontal walls on natural convection heat transfer in a square cavity. Juncu [13] used the finite-difference method to investigate the 863 Downloaded by [Northeastern University] at 12: 21 12 October 2014 transitional behavior of conjugate forced convection heat/mass transfer from a finite flat plate to a steady stream of viscous incompressible fluid. Mamun et al [14] studied the effects of magnetic field, viscous dissipation, and heat generation on natural convection flow of an incompressible, viscous, and electrically conducting fluid along a vertical flat plate in the presence of conduction with the help of the finite-difference method.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Conjugate Forced Convection Heat Transfer From a Heated Flat Plate of Finite Thickness and Temperature- Dependent Thermal Conductivity

Hajmohammadi

Nourazar

2013

Heat Transfer Engineering

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In this paper, a conjugate forced convection heat transfer from a good conducting plate with temperature-dependent thermal conductivity is studied. The semi-analytical solution for the nonlinear integro-differential equation occurring in the problem is handled easily and accurately by implementing the differential transform method (DTM). The horizontal plate is heated with uniform heat flux at the lower surface while being cooled at the upper surface under laminar forced convection flow. A numerical approach is also performed via a finite-volume method to examine the validity of the results obtained by DTM. The results of DTM show closer agreement with the results of the numerical method than the results obtained by the perturbation method existing in the literature. It is concluded that for a good conducting plate with a finite thickness the distribution of the conjugate heat flux at the upper surface is significantly affected by the plate thickness. Moreover, we conclude that in the conjugate heat transfer case the temperature distribution of the plate is flatter than the one in the nonconjugate case.

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“…In what follows, it is shown that the DTM is capable of providing a quick and highly accurate power series solution of Eq. (11) satisfying the boundary conditions (12) and (13).…”

Section: Mathematical Description Of the Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Conjugate Forced Convection Heat Transfer From a Heated Flat Plate of Finite Thickness and Temperature- Dependent Thermal Conductivity

Hajmohammadi

Nourazar

2013

Heat Transfer Engineering

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“…The resulting system is classified as a "conjugated" forced convective cooling system [10][11][12][13][14] where the heat source is cooled under the conducting plate instead of being cooled in direct contact with the cooling fluid. Unlike the published works [10][11][12][13][14], this paper allows some though toward optimization. In this sense, an optimization procedure is performed to determine the optimal thickness of the thick plate which lowers the hot spot temperature to the minimum level.…”

Section: Introductionmentioning

confidence: 99%

Improvement of Forced Convection Cooling Due to the Attachment of Heat Sources to a Conducting Thick Plate

Hajmohammadi

Campo

Nourazar

et al. 2013

Journal of Heat Transfer

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It is proposed that a conductive thick plate is placed between a heat source and a cold flowing fluid to improve the forced convection cooling performance. Detailed numerical work is carried out to determine the optimal thickness of the conductive thick plate which minimizes the peak temperature. It is shown that the thick plate significantly reduces the excess temperature of heat sources, by way of conducting the heat current in an optimal manner. It is shown that the reduction in the excess temperature of heat sources depends upon the Reynolds number of the fluid flow and the material thermal conductivity. Correlations for the optimum plate thickness and reduction in excess temperature of heat sources are presented, which could be useful for the practitioners.

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“…Numerous works have been published proposing different models, based on both analytical [1] and numerical analysis, to study heat diffusion through different systems and materials. Different approaches could be taken into account in a numerical analysis, depending whether the numerical method is based on domain-discretization such as finite elements (FEM) [2] and finite differences (FDM) [3,4] or on boundary discretization such as the boundary element method (BEM) [5,6] . More recently, some researchers have been focused on the development of meshless methods to study physical phenomenon of heat transfer, requiring neither domain nor boundary discretization, such as the method of fundamental solutions (MFS) [7].…”

Section: Introductionmentioning

confidence: 99%

Three-dimensional boundary element method model in the frequency domain for simulating dynamic heat conduction

Prata¹,

Tadeu²,

Simões³

2012

Advanced Computational Methods and Experiments in Heat Transfer XII

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The boundary element method (BEM) is a suitable numerical method used to study heat diffusion by conduction, which only requires the discretization of the boundary of the material discontinuities. However, one of the biggest challenges to this technique is the integration of mathematical singularities. In this work the BEM is used to simulate the heat conduction in the vicinity of 3D inclusions, when heated by dynamic heat point sources. Continuity of temperatures and heat fluxes are prescribed along the boundary interfaces. All boundary interfaces are discretized using constant elements. The proposed algorithm is verified by means of known analytical solutions for cylindrical inclusions.

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Unsteady conjugate forced convection heat/mass transfer from a finite flat plate

Cited by 22 publications

References 39 publications

Conjugate Forced Convection Heat Transfer From a Heated Flat Plate of Finite Thickness and Temperature- Dependent Thermal Conductivity

Conjugate Forced Convection Heat Transfer From a Heated Flat Plate of Finite Thickness and Temperature- Dependent Thermal Conductivity

Improvement of Forced Convection Cooling Due to the Attachment of Heat Sources to a Conducting Thick Plate

Three-dimensional boundary element method model in the frequency domain for simulating dynamic heat conduction

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