Efficiency and optimization of straight fins with combined heat and mass transfer – An analytical solution

Sharqawy, Mostafa H.; Zubair, Syed M.

doi:10.1016/j.applthermaleng.2008.01.003

Cited by 101 publications

(65 citation statements)

References 13 publications

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“…The thermal conductivity of the fin material is assumed to be a linear function of temperature [4][5][6][7] according to…”

Section: Description Of the Problemmentioning

confidence: 99%

“…Coşkun and Atay [4,5] used variational iteration method to analyze convective straight and radial fins with temperature-dependent thermal conductivity. Sharqawy and Zubair [6] carried out an analysis to study the efficiency of straight fins with different configurations when subjected to simultaneous heat and mass transfer mechanisms. Domairry and Fazeli [7] solved nonlinear straight fin differential equations by homotopy analysis method (HAM) to evaluate the temperature distribution within the fin.…”

Section: Introductionmentioning

confidence: 99%

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Analysis of Radiative Radial Fin with Temperature-Dependent Thermal Conductivity Using Nonlinear Differential Transformation Methods

Torabi

Yaghoobi

Colantoni

et al. 2013

Chinese Journal of Engineering

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Radiative radial fin with temperature-dependent thermal conductivity is analyzed. The calculations are carried out by using differential transformation method (DTM), which is a seminumerical-analytical solution technique that can be applied to various types of differential equations, as well as the Boubaker polynomials expansion scheme (BPES). By using DTM, the nonlinear constrained governing equations are reduced to recurrence relations and related boundary conditions are transformed into a set of algebraic equations. The principle of differential transformation is briefly introduced and then applied to the aforementioned equations. Solutions are subsequently obtained by a process of inverse transformation. The current results are then compared with previously obtained results using variational iteration method (VIM), Adomian decomposition method (ADM), homotopy analysis method (HAM), and numerical solution (NS) in order to verify the accuracy of the proposed method. The findings reveal that both BPES and DTM can achieve suitable results in predicting the solution of such problems. After these verifications, we analyze fin efficiency and the effects of some physically applicable parameters in this problem such as radiation-conduction fin parameter, radiation sink temperature, heat generation, and thermal conductivity parameters.

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“…The thermal conductivity of the fin material is assumed to be a linear function of temperature [4][5][6][7] according to…”

Section: Description Of the Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analysis of Radiative Radial Fin with Temperature-Dependent Thermal Conductivity Using Nonlinear Differential Transformation Methods

Torabi

Yaghoobi

Colantoni

et al. 2013

Chinese Journal of Engineering

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“…Increasing heat conduction in the direction of flow requires an incremented cross-section for better utilization of fin material. Much research has been devoted to the study of wet fins, particularly fins with a variety of tapered profiles, including step reduction in local cross section [10,11], trapezoidal [12,13], triangular [14,15], and convex parabolic [16]. It can be demonstrated (all other conditions being equal) that these complex-profile fins are lighter in weight than flat fins.…”

Section: Introductionmentioning

confidence: 99%

Shape optimization for the minimum volume of pin fins in simultaneous heat and mass transfer environments

Kundu

Lee

2012

Heat Mass Transfer

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A methodology for determining the optimum pin fin profile is introduced to minimize the fin volume for a constrained heat transfer rate under dehumidifying surface conditions. In this methodology, the mass transfer is evaluated using the polynomial variation of humidity ratio with temperature. A scheme is developed for solving the optimum conditions derived as a function of unknown temperature-dependent parameter and tip temperature under both the fully and partially wet surface conditions. The effect of psychrometric properties of the surrounding air on the optimum wet fin profile has been examined. The analysis presented in this study is pertinent to the dry, fully wet, and partially wet surface conditions. In every case study of optimum wet fins, the excess temperature at the tip vanishes with respect to the surrounding temperature. A non-linear temperature distribution in the optimum wet fin has been identified.

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“…Hence, we cannot calculate the constants af and bf before solving the temperature distribution over the fin surface. Another linear relationship (Figure 1.6) was suggested by Sharqawy and Zubair (2008) between Wsat,f and Tf over the temperature range (TfB˂Tf˂Tdp) can be written as:…”

Section: Introduction and Mathematical Background 31mentioning

confidence: 99%

“…It is expected that the rate of condensation increases with the increase of both dry bulb temperature and relative humidity of the incoming air. However, the condensate film drains off the fin surface due to gravity as well as by forced air flow (Sharqawy and Zubair, 2008). …”

Section: Introduction and Mathematical Background 31mentioning

confidence: 99%

Development and Validation of a Minichannel Evaporator Model under Dehumidification

Hassan¹

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Efficiency and optimization of straight fins with combined heat and mass transfer – An analytical solution

Cited by 101 publications

References 13 publications

Analysis of Radiative Radial Fin with Temperature-Dependent Thermal Conductivity Using Nonlinear Differential Transformation Methods

Analysis of Radiative Radial Fin with Temperature-Dependent Thermal Conductivity Using Nonlinear Differential Transformation Methods

Shape optimization for the minimum volume of pin fins in simultaneous heat and mass transfer environments

Development and Validation of a Minichannel Evaporator Model under Dehumidification

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