Natural convection heat transfer from plates of finite dimensions

Lewandowski, Witold M.

doi:10.1016/0017-9310(91)90133-y

Cited by 45 publications

(20 citation statements)

References 14 publications

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“…Following Lewandowski (1991) and Ghosh et al (2010) we assume that in the moving layer, temperature varies under the following condition:…”

Section: Fig 1 Geometry Of the Problemmentioning

confidence: 99%

Oscillatory MHD Mixed Convection Boundary Layer Flow of Finite Dimension with Induced Pressure Gradient

Ghosh¹,

Das²,

Jana³

et al. 2016

JAFM

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The purpose of present investigation is to deal with g-jitter forces of a time varing gravity field on unsteady hydromagnetic flow past a horizontal flat plate in the presence of a transverse magnetic field and the flow at the entrance also oscillates because of an applied pressue gradient. This problem deals with mixed convection driven by a combination of g-jitter and oscillating pressure gradient under the influence of an applied magnetic field. Analysis of this type find applications in space fluid system design and interpreting the experimental measurements in microgravity flow and heat transfer system.

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“…Following Lewandowski (1991) and Ghosh et al (2010) we assume that in the moving layer, temperature varies under the following condition:…”

Section: Fig 1 Geometry Of the Problemmentioning

confidence: 99%

Oscillatory MHD Mixed Convection Boundary Layer Flow of Finite Dimension with Induced Pressure Gradient

Ghosh¹,

Das²,

Jana³

et al. 2016

JAFM

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“…Chen et al [11] considered the upward facing horizontal semi-infinite plate with uniform wall temperature or uniform heat flux as a special case of a larger boundary-layer investigation of natural convection from inclined plates with variable surface temperature or heat flux. Lewandowski [12] presented a quasi-analytical solution of a theoretical model, in which the boundary layers grow from each plate-edge up to transforming into a plume at the separation point. Wei et al [13] presented a numerical solutions of the mass, momentum and energy governing equations on two-dimensional natural convection from isothermal plates heated at both sides.…”

Section: Introductionmentioning

confidence: 99%

Correlations for Nusselt Number in Free Convection from an Isothermal Inclined Square Plate by a Numerical Simulation

Abdulateef¹

2015

AJMA

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This paper presents a numerical study on three-dimensional transient natural convection from an inclined isothermal square plate. The finite difference approach is used to solve the governing equations, in which buoyancy is modeled via the Boussinesq approximation. The complete Navier-Stokes equations are transformed and expressed in term of vorticity and vector potential. The transformed equations are solved using alternating direction implicit (ADI) method for parabolic portion of the problem and successive over relaxation (SOR) for the elliptic portion. Solutions for laminar case are obtained up to Grashof number of 5x10 4 as well as the inclination angles were varied from 0 o to 180 o with 30 o intervals, and the Prandtl number of 0.7 is considered. The results are shown in terms of isothermal plots, and the local and average Nusselt numbers are also presented. The simulation results show that the main process of heat transfer is conduction for Grashof number less than 10 3 and convection for Grashof number larger than 10 3 . It is also found that, the values of Nusselt number show fairly large dependence on inclination angle and there is a significant difference in heat transfer rates between the upward and downward orientation. The average Nusselt number increases to 20% at the vertical position compared to horizontal position then decreases with increasing inclination of plate at downward orientation. Based on the results obtained, correlations have been proposed to evaluate the Nusselt numbers of both upward and downward orientation. Validations of the present results are made through comparison with available numerical and experimental data, and a good agreement was obtained.

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“…Unlike laminar flow, which can be solved analytically to obtain the average horizontal velocity for calculating the effective plume-chimney height [3], a mathematical turbulence model would have to be solved numerically and tested on a comprehensive database. For this reason, another method derived via a different route based on momentum and heat transfer analogy would be able to provide a better theoretical footing in deriving the kinetic head of the entrained air and the effective plumechimney height.…”

Section: Introductionmentioning

confidence: 99%

Use of Chilton-Colburn Analogy to Estimate Effective Plume Chimney Height of a Forced Draft, Air-Cooled Heat Exchanger

Chu

2006

Heat Transfer Engineering

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An estimation of the effective plume-chimney height above a forced draft, air-cooled heat exchanger operating under natural convection has been carried out by employing Chilton-Colburn and Reynolds analogies of natural convection heat transfer on a flat plate to calculate the differential pressure in driving entrained air from the surrounding air. The results show that the Chilton-Colburn analogy performs closely with the Nusselt number-Equivalence method previously used by Chu [1] and renders support for its applicability.

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Natural convection heat transfer from plates of finite dimensions

Cited by 45 publications

References 14 publications

Oscillatory MHD Mixed Convection Boundary Layer Flow of Finite Dimension with Induced Pressure Gradient

Oscillatory MHD Mixed Convection Boundary Layer Flow of Finite Dimension with Induced Pressure Gradient

Correlations for Nusselt Number in Free Convection from an Isothermal Inclined Square Plate by a Numerical Simulation

Use of Chilton-Colburn Analogy to Estimate Effective Plume Chimney Height of a Forced Draft, Air-Cooled Heat Exchanger

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