Convecting–radiating fins: Explicit solutions, efficiency and optimization

Bochicchio, Ivana; Naso, Maria Grazia; Vuk, Elena; Zullo, Federico

doi:10.1016/j.apm.2020.08.010

Cited by 7 publications

(40 citation statements)

References 14 publications

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“…As pointed out in [1], a large class of steady-state solutions of Equation (20) with the boundary conditions (21) are such that the dimensionless temperature θ(z) is bounded from below by the (dimensionless) fluid temperature, θ 0 = T 0 /T b , and from above by the (dimensionless) base temperature, θ b = T b /T b = 1, i.e., θ ∈ (θ 0 , 1).…”

Section: The Role Of Entropy In Assessing Efficiency Of the Steady Statementioning

confidence: 79%

“…Equation (2) must be supplied with the initial and boundary conditions; we assume the boundary conditions to be given by [1]:…”

Section: Figurementioning

confidence: 99%

“…Accordingly, the efficiency η of the fin is defined as the ratio of the actual heat transfer to the ideal heat transfer for a fin of infinite thermal conductivity in the reference state. It can be shown that, for the steady state solution of Equation (20), the efficiency can be calculated as [1]:…”

Section: The Role Of Entropy In Assessing Efficiency Of the Steady Statementioning

confidence: 99%

“…The simplest case is that of a rectangular longitudinal profile, meaning that f (z) = 1 for the dimensionless profile. The steady-state temperature θ(z), solution of the Equation (20) with the boundary conditions (21), has been given in [1] as…”

Section: Analysis Of the Pure Convective Casementioning

confidence: 99%

“…The entropy rate considered here results from the contributions of convection and radiation. The evaluation of the efficiency of a fin with an arbitrary general profile takes advantage of the explicit analytical results for the distribution of the temperature in the convective-radiative fins obtained in [1], some of which are reported here for ease of reading.…”

Section: Introductionmentioning

confidence: 99%

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Entropy Production and Efficiency in Longitudinal Convecting–Radiating Fins

Giorgi¹,

Zullo²

2020

The First World Energies Forum—Current and Future Energy Issues

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The properties of the entropy production in convecting–radiating fins were analyzed. By taking advantage of the explicit expression for the distribution of heat along the fin, we investigated the possibility of assessing the efficiency of these devices through the amount of entropy produced in the heat transfer process. The analysis was performed both for purely convecting fins and for convecting–radiating fins. A comparison with standard definitions of efficiency is given.

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Section: The Role Of Entropy In Assessing Efficiency Of the Steady Statementioning

confidence: 79%

“…Equation (2) must be supplied with the initial and boundary conditions; we assume the boundary conditions to be given by [1]:…”

Section: Figurementioning

confidence: 99%

Section: The Role Of Entropy In Assessing Efficiency Of the Steady Statementioning

confidence: 99%

Section: Analysis Of the Pure Convective Casementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Entropy Production and Efficiency in Longitudinal Convecting–Radiating Fins

Giorgi¹,

Zullo²

2020

The First World Energies Forum—Current and Future Energy Issues

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Thermal analysis of rectangular moving fins with temperature‐variant properties by employing the Galerkin scheme

Gouran,

Ghasemi

2024

Heat Trans

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In the present study, the thermal behavior of a longitudinal fin considering three types of heat transfer mechanisms (conduction, convection, and radiation) is investigated. For this research, thermal conductivity, heat source, and heat transfer coefficient are assumed nonindependent. A semianalytical scheme called the Galerkin Method is utilized for solving the dimensionless governing equation. The impacts of important physical variables like Peclet number, gradient of thermal conductivity, thermo‐geometric parameter, and radiation–conduction parameter on temperature profiles are analyzed comprehensively. The obtained results indicate that raising the thermo‐geometric parameter from 0 to 2 leads to a 32% reduction in the temperature profile. Also from the results, it can be found that a 28% increment in the temperature is observed by changing the gradient of thermal conductivity from 0 to 2.

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