Analytical prediction of heat transfer by unsteady natural convection at vertical flat plates in air

Schaub, Michael; Kriegel, Martin; Brandt, Stefan

doi:10.1016/j.ijheatmasstransfer.2019.118665

Cited by 8 publications

(4 citation statements)

References 27 publications

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“…Schaub et al [11] perform experimental investigation of unsteady natural convection at a vertical flat plate. Subsequently, the experimental results have been used to develop an analytical model that can predict unsteady natural convection at vertical flat plate [12]. Akdaq et al [13] implement artificial neural network to predict the heat transfer of flat plate under pulsating jet, the more advanced numerical method produces more accurate results.…”

Section: Introductionmentioning

confidence: 99%

Investigation of the effect of different materials on convective heat transfer

Ibrahim¹,

Chong²,

Rajasekharan³

et al. 2020

JMES

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Conventionally, the study of convection heat transfer merely focuses on the behavior of air flow without considering the conductive effect of the horizontal flat plate. However, it is expected that the conductive effect of the horizontal plate somewhat affects the air flow temperature across the flat plate. Therefore, it is motivated to study the variation of air flow temperature across different materials of flat plate in various time frame. The materials used in this study are aluminium, stainless steel and cast iron. Infrared camera and FloEFD simulation software are used to measure the upper surface temperature of the flat plate. For forced convection, the study is carried out within the range of 103 £ Re £ 104 and within the range of 1 × 107 £ Ra < 2.2 × 107 for natural convection. Flow velocity of 2.3 m/s, 4.1 m/s and 5.2 m/s are used for the forced convection. The results showed that aluminium plate cools down faster than the other two metal plates used in all scenarios. Stainless steel’s temperature goes down faster compared to cast iron. These results were supported by the fact that aluminium has higher heat transfer rate of other metals. For forced convection, the discrepancies of temperatures between experimental and simulation studies are below 10%, which demonstrates that the results are reasonably acceptable. For natural convection, even though the discrepancies between simulation and experimental results on temperature variations are relatively large, the temperatures varied in similar pattern. This indicates that the results are reliable.

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Section: Introductionmentioning

confidence: 99%

Investigation of the effect of different materials on convective heat transfer

Ibrahim¹,

Chong²,

Rajasekharan³

et al. 2020

JMES

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“…Using the asymptotic approach, Kwon et al [9] developed a new heat transfer coefficient correlation for radial plate-fin heat sinks and thermal optimized horizontally oriented ones using natural convection. Schaub et al [10] developed an analytical method for predicting heat transmission via unsteady natural convection. Using an analytical solution, Ahn et al [11] determined the conditions under which free convection occurs in vertically asymmetrically heated shafts at low Rayleigh numbers.…”

Section: Introductionmentioning

confidence: 99%

Heat Transfer Investigation in Plus-Shaped Enclosure Using Power Law Fluid: A Finite Element Approach

Chuhan,

Li,

Guo

et al. 2023

Applied Sciences

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The main purpose of this study is to investigate the thermal behavior of power law fluid within a plus-shaped cavity under the influence of natural convection, also taking into account the Darcy number and magnetohydrodynamics (MHD). The problem is formulated as a system of partial differential equations considering the power law fluid’s rheological behavior. The left-side walls are maintained at a specific low temperature while the lower and the right-side walls have uniform maximum temperatures. The boundary condition is designed to enhance heat transfer efficiency within the cavity, utilizing advanced thermal insulation methodologies. Finite element method (FEM) simulations are conducted, and a grid independence test is performed to validate the results. The impact of relevant parameters on the variation in momentum and thermal distributions is investigated using streamline and isothermal contour plots. The results indicate that as the Rayleigh number increases, the kinetic energy also increases, whereas the viscosity and circulation zones expand with an increase in the power law index. The Nusselt number exhibits a higher value in the shear-thinning case (n = 0.7) compared to the Newtonian (n = 1) and shear-thickening (n = 1.2) cases. This empirical observation underscores the vital role that fluid rheology plays in molding the overall heat transfer performance within the cavity. The study concludes that there is a distinct correlation between the heat transfer rate and the Rayleigh number (Ra). As Ra increases, there is a significant improvement in the heat transfer rate within the flow domain. Furthermore, the fluid behavior and heat transfer performance within the cavity are significantly influenced by the presence of magnetohydrodynamics (MHD) and the Darcy effect.

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“…Parashar and Ahmed (2019) studied MHD flow of electrically conducting fluid past an inclined plate with ramped parabolic velocity and Rossland thermal radiation. Michael Schaub and Stefan Brandt (2019) presented an analytical procedure to predict the heat transfer through unsteady natural convection at vertical flat plates in air. Rajakumar et al (2019) analyzed the effects of thermal radiation and hall current on unsteady MHD free convective flow over a vertical semi-infinite oscillatory plate in the presence of ion slip.…”

Section: Introductionmentioning

confidence: 99%

Heat and Mass Transfer Effects on Linearly Accelerated Isothermal Inclined Plate

Balamurugan¹,

Varma²,

Ramaprasad³

et al. 2022

Frontiers in Heat and Mass Transfer

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Current work reports heat and mass transfer effects on unsteady free convection flow past a linearly accelerated isothermal inclined plate with variable temperature and mass diffusion with thermal radiation. The fluid is gray and non-scattering medium. When time t>0, the plate is accelerated with velocity u 0 t, the plate temperature is raised linearly with respect to time and the mass is diffused from the plate linearly with time. The Mathematical equations represent the present flow problem are solved by Laplace transform method. The influences of significant involved parameters on velocity, temperature and concentration are tested. The rate of heat transfer in terms of Nusselt number and the rate of mass transfer in terms of Sherwood number have also been computed and their impacts for various parameters are discussed through the graphs. Fluid velocity is reduced by radiation parameter R, Prandtl number Pr and inclined angle parameter ϕ. Also the rate of change of heat transfer for water is higher than that of air.

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Analytical prediction of heat transfer by unsteady natural convection at vertical flat plates in air

Cited by 8 publications

References 27 publications

Investigation of the effect of different materials on convective heat transfer

Investigation of the effect of different materials on convective heat transfer

Heat Transfer Investigation in Plus-Shaped Enclosure Using Power Law Fluid: A Finite Element Approach

Heat and Mass Transfer Effects on Linearly Accelerated Isothermal Inclined Plate

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