Optimization of a rectangular profile annular fin based on fixed fin height

Kang, Ho Suk

doi:10.1007/s12206-009-0905-3

Cited by 19 publications

(3 citation statements)

References 12 publications

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“…Finally, a comparison was made between the optimum dimensions of the uniform fins and the dimensions of fins with minimal weight. Kang [6] method to determine the fin length of a rectangular profile fully wet annular fin to yield the optimum performance. In that study, the author concluded that, when considering the thermal conductivity to be constant, the optimum length and effectiveness are independent of the properties of the material used, whereas the optimum base thickness and the volume of the fin are inversely proportional to the thermal conductivity of the fin material.…”

Section: Introductionmentioning

confidence: 99%

An inverse problem in determining the optimum shapes for partially wet annular fins based on efficiency maximization

Huang

Chung

2015

International Journal of Heat and Mass Transfer

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Section: Introductionmentioning

confidence: 99%

An inverse problem in determining the optimum shapes for partially wet annular fins based on efficiency maximization

Huang

Chung

2015

International Journal of Heat and Mass Transfer

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“…Numerous linear fin shape design problems were investigated to optimize the annular fin profiles with constant thermal properties. For example, a variation separation method was used by Kang [14] in determining the fin length of a fully wet annular rectangular fin to achieve optimal fin efficiency. They have concluded that when assuming constant thermal conductivity, the optimum length and effectiveness of fins are independent of the fin material, however, the optimum base thickness and the volume of the fin are inversely proportional to the fin conductivity.…”

Section: Introductionmentioning

confidence: 99%

Optimal Shape of Non-Linear Partially Wet Annular Fins for Maximum Efficiency

Huang

Chung

2021

Energies

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Heat exchangers with annular finned-tube type and partially wetted condition are utilized widely in engineering systems, such as air-conditioning systems and refrigeration systems. In addition, the physical properties of fin materials should be considered as functions of temperature in reality and thus become a non-linear problem. Based on the above two conditions, an optimal partially wet annular fin design problem, with temperature-dependent thermal properties of the fin, to yield optimal fin efficiency was investigated in the present work, which has not been examined previously and it is the novelty of this study. An iterative regularization algorithm using the conjugate gradient method (CGM) is considered as the optimization tool based on the desired fin efficiency under a fixed fin volume constraint. The partially wet annular fin condition can result if the relative humidity of surrounding air is between 80 and 90%. Finally, the optimal fin shape, with the highest computed efficiency among examined fins under identical operational conditions, can be obtained. It is found that when the Biot numbers for ambient air (Bia) and relative humidity (f) increased, the optimum computed fin efficiency and interfacial radius between wet and dry fin domains (rwd) will be increased, and the estimated optimum fin shape also changed. However, the shape of optimal fin remained approximately unchanged when the Biot numbers for the inner tube (Bii), the thermal conductivities of the tube (kw) and fin (kf) varied. It reveals that Bii, kw and kf have an insignificant influence on the optimal shape of the annular fin in a partially wet condition.

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“…He found that the optimum heat loss, fin effectiveness, and the fin length increased linearly as the inside radius of the fin (tube radius) increased. In a contemporaneous paper, Kang [30] optimized the annular fin design based on a fixed fin height (the difference between the outer and inner radii of the fin ). An important conclusion emerging from this work was that the optimum fin length decreases as the fin base thickness increases.…”

Section: Introductionmentioning

confidence: 99%

Numerical investigation for a hyperbolic annular fin with temperature dependent thermal conductivity

Darvishi

Khani

Aziz

2016

Propulsion and Power Research

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An annular fin of hyperbolic profile with temperature dependent thermal conductivity is studied by pseudospectral method. Graphs illustrating the effect of fin dimensions, surface convection characteristics and the thermal conductivity parameter on the thermal performance of the fin are presented and discussed. A comparison of the obtained numerical results is made with the closed form analytical solution available in the literature for the case of constant thermal conductivity. This comparison confirms the high accuracy of numerical results. When the thermal conductivity increases with temperature, the effect is to elevate both the temperature distribution in the fin and the fin efficiency. The converse is true when the thermal conductivity decreases with temperature.

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Optimization of a rectangular profile annular fin based on fixed fin height

Cited by 19 publications

References 12 publications

An inverse problem in determining the optimum shapes for partially wet annular fins based on efficiency maximization

An inverse problem in determining the optimum shapes for partially wet annular fins based on efficiency maximization

Optimal Shape of Non-Linear Partially Wet Annular Fins for Maximum Efficiency

Numerical investigation for a hyperbolic annular fin with temperature dependent thermal conductivity

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