An analytical prediction for performance and optimum design analysis of porous fins

Kundu, Balaram; Bhanja, Dipankar

doi:10.1016/j.ijrefrig.2010.06.011

Cited by 75 publications

(28 citation statements)

References 28 publications

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“…The governing equation for a typical porous fin primarily involves Darcy model and energy balance equation [6,7]. Additionally, studies have been also done by considering additional features such as inclusion of the surface heat transfer coefficient and the radiative effects [8]. Using known values of properties and boundary conditions, the primary objective is to obtain the local/unknown temperature variation.…”

Section: Introductionmentioning

confidence: 99%

“…Depending upon the problem and boundary conditions, many numerical techniques may be applied to obtain the desired objectives. These include the finite element method [2], Runge-Kutta method [6], the finite difference method (FDM) [7], Adomian decomposition method [8], etc. Such approach of obtaining the desired result (for example, temperature) from known data (for example thermo-physical properties, boundary conditions, etc.)…”

Section: Introductionmentioning

confidence: 99%

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Predicting multiple combination of parameters for designing a porous fin subjected to a given temperature requirement

Das

Ooi

2013

Energy Conversion and Management

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Predicting multiple combination of parameters for designing a porous fin subjected to a given temperature requirement

Das

Ooi

2013

Energy Conversion and Management

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“…Henceforth, many scholars had done plenty of researches on the fin heat transfer problems [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27] based on constructal theory. Bejan and Dan [10] used the analytical method and finite element method to carry out constructal optimization of a tree-shaped fin, and the results showed that the results obtained based on these two methods agreed with each other.…”

Section: Introductionmentioning

confidence: 99%

“…Bello-Ochende et al [25] carried out the constructal optimization of the pin fin arrays with two columns, the optimal geometries obtained were the multi-scale pin-fin arrays with different diameters and heights, and the result obtained by magnitude analysis agreed with that obtained by the numerical calculation. Kundu and Bhanja [26] investigated the heat transfer enhancement problem of porous fins by using analytical method, and compared the heat transfer performances of the porous fins with simple, approximate and exact models by using analytical and numerical methods, respectively. Sharqawy and Zubair [27] studied the circle fin with simultaneous heat and mass transfer, and obtained the analytical solution of fin temperature distribution under fully wet condition, which included the special solution for a dry-fin case.…”

Section: Introductionmentioning

confidence: 99%

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Constructal entransy dissipation rate minimization for leaf-like fins

Feng

Sun

2011

Sci. China Technol. Sci.

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Based on constructal theory, the constructs of the leaf-like fins are optimized by taking minimum entransy dissipation rate (for the fixed total thermal current, i.e., the equivalent thermal resistance) as optimization objective. The optimal constructs of the leaf-like fins with minimum dimensionless equivalent thermal resistance are obtained. The results show that there exists an optimal elemental leaf-like fin number, which leads to an optimal global heat conduction performance of the first order leaf-like fin. The Biot number has little effects on the optimal elemental fin number, optimal ratios of length and width of the elemental and first order leaf-like fins; with the increase of the thermal conductivity ratio of the vein and blade, the optimal elemental fin number and optimal ratio of the length and width of the elemental leaf-like fin increase, and the optimal shape of the first order leaf-like fin becomes tubbier. The optimal construct based on entransy dissipation rate minimization is obviously different from that based on maximum temperature difference minimization. The dimensionless equivalent thermal resistance based on entransy dissipation rate minimization is reduced by 11.54% compared to that based on maximum temperature difference minimization, and the global heat conduction performance of the leaf-like fin is effectively improved. For the same volumes of the elemental and first order leaf-like fins, the minimum dimensionless equivalent thermal resistance of the first order of the leaf-like fin is reduced by 30.10% compared to that of the elemental leaf-like fin, and the global heat conduction performance of the first order leaf-like fin is obviously better than that of the elemental leaf-like fin. Essentially, this is because the temperature gradient field of the first order leaf-like fin based on entransy dissipation rate minimization is more homogenous than that of the elemental leaf-like fin. The dimensionless equivalent thermal resistance defined based on entransy dissipation rate reflects the average heat transfer performance of the leaf-like fin, and can provide some guidelines for the thermal design of the fins from the viewpoint of heat transfer optimization. constructal theory, entransy dissipation rate, leaf-like fin, heat transfer optimization, generalized thermodynamic optimization

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Thermal behaviour of convective‐radiative porous fins under periodic thermal conditions

2018

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In the present study, the effects of non-Fourier, convection, and radiation heat transfer are investigated in a porous fin under periodic thermal conditions. The porosity effect on the fin that allows the flow to infiltrate is formulated using Darcy's model. A nonlinear partial differential equation has been obtained by energy balance for the porous fin solved by a numerical method. The effects of buoyancy or natural convection parameter (N p ), the radiation parameter (N r ), the convection parameter (N c ), dimensionless relaxation time (C), and dimensionless frequency of the base temperature oscillation (v) on temperature distribution are studied. Increasing the values of C, as the non-Fourier condition of heat transfer, led to a discontinuity in the dimensionless temperature distribution with smaller values of h. The heat transfer rate of the porous fin has been increased by increasing N c , N r , and N p , of which the N r had the strongest effect on heat transfer in comparison with other parameters.

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An analytical prediction for performance and optimum design analysis of porous fins

Cited by 75 publications

References 28 publications

Predicting multiple combination of parameters for designing a porous fin subjected to a given temperature requirement

Predicting multiple combination of parameters for designing a porous fin subjected to a given temperature requirement

Constructal entransy dissipation rate minimization for leaf-like fins

Thermal behaviour of convective‐radiative porous fins under periodic thermal conditions

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