Some new results for conjugated heat transfer in a flat plate

Karvinen, R.

doi:10.1016/0017-9310(78)90145-x

Cited by 48 publications

(12 citation statements)

References 6 publications

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“…The goal is to find the transient temperature of a thin plate cooled by forced convection, when there is a step change of a spatially uniform heat generation in the plate. The problem has been solved previously by one of the authors both numerically and experimentally (Karvinen, 1978b). However, to the authors knowledge no analytical solution of the problem has earlier been presented.…”

Section: Introductionmentioning

confidence: 85%

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Analytical Solution for a Class of Flat Plate Conjugate Convective Heat Transfer Problems

Lehtinen¹,

Karvinen²

2012

Frontiers in Heat and Mass Transfer

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Analytical solutions for three different flat plate conjugate heat transfer cases are presented. The cases are as follows:transient heat transfer of a thin plate with uniform heat generation; the Luikov problem in which one plate surface is kept in a constant temperature and the other one is cooled by forced convection ; and a modified Luikov problem with heat generation on one surface and convection on both surfaces of the plate. All the cases are solved for both laminar and turbulent flows with P r 1. The solutions in the paper are based on the superposition principle and analytical expressions are used to couple the temperature and the heat flux distributions on the surface of the plate. The results of the Luikov problem and transient plate are also compared to other solutions presented earlier in the literature.

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Section: Introductionmentioning

confidence: 85%

“…4 the results from the present calculation for the transient heat transfer are compared to the measurements (Karvinen, 1978b), when the boundary layer is laminar. The numerical solution of Eq.…”

Section: Transient Heat Transfer Of Thin Platementioning

confidence: 99%

Analytical Solution for a Class of Flat Plate Conjugate Convective Heat Transfer Problems

Lehtinen¹,

Karvinen²

2012

Frontiers in Heat and Mass Transfer

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“…For a flat plate boundary layer flow there are several works involving these coupled forms of heat transfer [1][2][3][4][5][6]. Luikov [3] and Payvar [4] analysed the problem where the lower surface of the plate is maintained at a constant and uniform temperature.…”

Section: Introductionmentioning

confidence: 99%

“…In both these works, axial conduction was not taken into account. Heating (or cooling) a fiat plate in a convective flow was analysed by Sohal and Howell [5] and Karvinen [6]. Both works used the Lighthill approximation to obtain an integro-differential equation.…”

Section: Introductionmentioning

confidence: 99%

External heating of a flat plate in a convective flow

Treviño

Liñán

1984

International Journal of Heat and Mass Transfer

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Abstract-The steady-stale and transient processes of the external heating of a flat plate under a convective flow is studied in this paper, with inclusion of the axial heat conduction through the plate. The balance equations reduce to a single integro-differential equation with only one parameter, a, denoting the ratio of the ability of the plate to carry heat in the streamwise direction to the ability of the gas to carry heat out of the plate. The two limits ofagood conducting plate(« -+ oo)andabad conducting plate(• 0) are analysed through the appUcationof a regular perturbation procedure for the first case and a singular perturbation technique for the latter. The existence oftwo boundary layers at both edges of the plate is shown and theirstructure are analysed.The evolution of the temperature of the plate is then obtained for a constant external energy flux input.

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“…The CHT problems associated with the heat generating plate were studied by Karvinen [13], Sparrow et al [14] and Garg et al [15] using an approximate method. Analytical and numerical solutions were performed by Vynnycky et al [16] for the CHT problem associated with the forced convection flow over a conducting slab sited in an aligned uniform stream.…”

Section: Introductionmentioning

confidence: 99%

Conjugate Transient Free Convective Heat Transfer from a Vertical Slender Hollow Cylinder with Heat Generation Effect

Rani¹,

Reddy²

2012

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Numerical analysis is performed to study the conjugate heat transfer and heat generation effects on the transient free convective boundary layer flow over a vertical slender hollow circular cylinder with the inner surface at a constant temperature. A set of non-dimensional governing equations namely, the continuity, momentum and energy equations is derived and these equations are unsteady non-linear and coupled. As there is no analytical or direct numerical method available to solve these equations, they are solved using the CFD techniques. An unconditionally stable Crank-Nicolson type of implicit finite difference scheme is employed to obtain the discretized forms of the governing equations. The discretized equations are solved using the tridiagonal algorithm. Numerical results for the transient velocity and temperature profiles, average skin-friction coefficient and average Nusselt number are shown graphically. In all these profiles it is observed that the time required to reach the steady-state increases as the conjugate-conduction parameter or heat generation parameter increases.

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Some new results for conjugated heat transfer in a flat plate

Cited by 48 publications

References 6 publications

Analytical Solution for a Class of Flat Plate Conjugate Convective Heat Transfer Problems

Analytical Solution for a Class of Flat Plate Conjugate Convective Heat Transfer Problems

External heating of a flat plate in a convective flow

Conjugate Transient Free Convective Heat Transfer from a Vertical Slender Hollow Cylinder with Heat Generation Effect

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