Convective-radiative fin with temperature dependent thermal conductivity, heat transfer coefficient and wavelength dependent surface emissivity

Singh, S. S.; Kumar, Dinesh; Rai, K.N.

doi:10.1016/j.jppr.2014.11.003

Cited by 32 publications

(17 citation statements)

References 16 publications

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“…The consequence of internal heat generation and thermal radiation are also taken into account. The energy balance equation for a rectangular moving porous fin with constant speed subjected to boundary conditions, given the above assumptions is as follows 28 :…”

Section: Formulation Of the Problemmentioning

confidence: 99%

Numerical study of moving fin with thermal properties

Kumar¹,

Dinesh

Ramakrishna

et al. 2022

Heat Trans

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In the present study, the influence of numerical analysis involves the transfer of heat for moving fin under convection and radiation with fluid properties depending on internal heat generation is considered.The temperature field for the fin is derived based on the defined geometry. This is transformed into a linear model as per the boundary conditions. The dimensionless analysis is performed, and the equations obtained are solved by Runge-Kutta Fehlberg fourth-order method coupled with the shooting method. The effects of the relative parameters are studied and depicted graphically. Finally, the computational observation indicates that there is an enhancement of temperature variation under the influence of thermal conductivity gradient, heat generation, and opposite behavior results. In understanding the thermal characteristics of various effects, it was seen that thermo geometric film, radiation conduction, and Peclet number were very useful for many industrial applications. To validate the numerical scheme, a comparative study has been done with an earlier result on a few nondimensional parameters and was found in good agreement.

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Section: Formulation Of the Problemmentioning

confidence: 99%

Numerical study of moving fin with thermal properties

Kumar¹,

Dinesh

Ramakrishna

et al. 2022

Heat Trans

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“…Mhlongo et al (2013) studied the impact of power law exponent and thermo-geometric fin parameter on the thermal performance of longitudinal fin of rectangular profile. Singha et al (2014) analysed the transfer of heat in a moving fin with variable thermal conductivity and coefficient of heat transfer with temperature and surface emissivity with respect to wavelength and temperature and showed that for quadratic thermal conductivity, temperature in fin is low. Fallo et al (2018) analytically studied the thermal profile of cylindrical spine fin by using the differential transform method.…”

Section: 4mentioning

confidence: 99%

Thermal performance of fully wet longitudinal porous fin with temperature-dependent thermal conductivity, surface emissivity and heat transfer coefficient

Sowmya

Gireesha

Makinde

2019

MMMS

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Purpose The purpose of this paper is to study the thermal behaviour of a fully wet porous fin of longitudinal profile. The significance of radiative and convective heat transfer has been scrutinised along with the simultaneous variation of surface emissivity, heat transfer coefficient and thermal conductivity with temperature. The emissivity of the surface and the thermal conductivity are considered as linear functions of the local temperature between fin and the ambient. Darcy’s model was considered to formulate the heat transfer equation. According to this, the porous fin permits the flow to penetrate through it and solid–fluid interaction occurs. Design/methodology/approach Runge–Kutta–Fehlberg fourth–fifth-order method has been used to solve the reduced non-dimensionalized ordinary differential equation involving highly nonlinear terms. Findings The impact of pertinent parameters, such as convective parameter, radiative parameter, conductivity parameter, emissivity parameter, wet porous parameter, etc., on the temperature profiles were elaborated mathematically with the plotted graphs. The heat transfer from the fin enhances with the rise in convective parameter. Originality/value The wet nature of the fin enhances heat transfer and in many practical applications the parameters, such as thermal conductivity, heat transfer coefficient as well as surface emissivity, vary with temperature. Hence, the main objective of the current study is to depict the significance of simultaneous variation in surface emissivity, heat transfer coefficient and thermal conductivity with respect to temperature under natural convection and radiation condition in a totally wetted longitudinal porous fin.

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“…A few remarkable studies are developed by researchers on these lines. [16][17][18] Convection-radiation consequences on the performance of a triangular porous fin with variable thermal conductivity have been studied by Moradi et al 19 The thermal performance and heat transfer rate of the semi-spherical fin with temperature-dependent thermal conductivity and heat generation have been analyzed by Atouei et al 20 Aziz and Makinde 21 have analyzed the performance of orthotropic pin fin, and they discussed the effect of orthotropic thermal conductivity, fin geometry, and convection parameters on entropy generation patterns in the extended surfaces to determine least entropy generation pin-fin designs. Mhlongo et al 22 developed a heat transfer model to describe the transient response of longitudinal rectangular fins, and they considered step change in base temperature and in base heat flow conditions.…”

Section: Introductionmentioning

confidence: 99%

“…Therefore, mathematical models developed for these applications involve temperature‐dependent thermal conductivity, which results in a nonlinear differential equation. A few remarkable studies are developed by researchers on these lines 16‐18 . Convection‐radiation consequences on the performance of a triangular porous fin with variable thermal conductivity have been studied by Moradi et al 19 The thermal performance and heat transfer rate of the semi‐spherical fin with temperature‐dependent thermal conductivity and heat generation have been analyzed by Atouei et al 20 Aziz and Makinde 21 have analyzed the performance of orthotropic pin fin, and they discussed the effect of orthotropic thermal conductivity, fin geometry, and convection parameters on entropy generation patterns in the extended surfaces to determine least entropy generation pin‐fin designs.…”

Section: Introductionmentioning

confidence: 99%

Thermal performance of straight porous fin with variable thermal conductivity under magnetic field and radiation effects

Madhura

Babitha²,

Kalpana³

et al. 2020

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The present numerical study reports the thermal performance of the straight porous fin with temperature-dependent thermal conductivity, radiation, and magnetic field effects. The heat transfer model comprising the Darcy's law for simulating flow with solid-fluid interactions in porous medium, Rosseland approximation for heat transfer through radiation, Maxwell equations for magnetic field effect and linearly varying temperature dependent thermal conductivity, results into highly nonlinear ordinary differential equation. The governing equation is solved using a finite difference scheme with suitable boundary conditions. The obtained solutions are physically interpreted by considering the impact of different nondimensional parameters on thermal performance, efficiency, and effectiveness of the system through plotted graphs. A detailed result with regard to the Nusselt number at the fin base is calculated. The results obtained are observed to be in excellent agreement with previous studies. From the study, it is observed that there is a significant effect on the thermal performance of the fin in the presence of porous constraints; also, results reveal that the nonlinear thermal conductivity parameter strengthens the thermal performance, efficiency, and effectiveness of the fin. Furthermore, the results of the study reveal that the rate of heat transfer of the fin increases with the increase in the magnetic parameter and radiation parameter.

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Convective-radiative fin with temperature dependent thermal conductivity, heat transfer coefficient and wavelength dependent surface emissivity

Cited by 32 publications

References 16 publications

Numerical study of moving fin with thermal properties

Numerical study of moving fin with thermal properties

Thermal performance of fully wet longitudinal porous fin with temperature-dependent thermal conductivity, surface emissivity and heat transfer coefficient

Thermal performance of straight porous fin with variable thermal conductivity under magnetic field and radiation effects

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