Constructal design of vertical multiscale triangular fins in natural convection

IF 1.7 4区工程技术 Q3 THERMODYNAMICS

Heat Transfer Research Pub Date : 2023-08-14 DOI:10.1002/htj.22935

A. Mustafa, H. S. Hasan, Hadeel Hamid Khlaif

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Abstract

Constructal design of vertical multiscale triangular fins in natural convection is investigated in this paper. The design consists of two parts. The first part is for single‐scale triangular fins. The objective in the first design is to reach to the highest heat transfer density from the fins for three fin angles (15°, 30°, and 45°). The single‐scale fins are placed in a horizontal array and considered as isothermal fins. The degrees of freedom are the fin angle, and the fin‐to‐fin spacing. The constraint is the fin height. The second part is for multiscale fins where small fins are placed between the large fins which are optimized in the first part. In the second part, the angles of the large and small scales fins are kept constant at (15°). The optimal fin‐to‐fin spacing which is obtained in the first part is considered a constraint in the second part. The Rayleigh numbers in this design are (Ra = 103, 104, and 105). The two‐dimensional mass, momentum, and energy equations for natural convection are solved with the finite volume method. The results show that there is a benefit of placing the small‐scale fins where the percentage increase in the heat transfer density is (10.22%) at (Ra = 103), and (50.6%) at (Ra = 105) due to existence of the small fins between the large fins.

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自然对流中垂直多尺度三角翅片结构设计

研究了自然对流条件下垂直多尺度三角翅片的结构设计。本设计由两部分组成。第一部分适用于单尺度三角形鳍片。第一个设计的目标是在三个翅片角度(15°，30°和45°)下达到最高的传热密度。单尺度翅片被放置在一个水平阵列中，被认为是等温翅片。自由度是鳍角和鳍与鳍之间的间距。约束条件是鳍的高度。第二部分是多尺度鳍片，其中小鳍片放置在第一部分优化的大鳍片之间。在第二部分中，大小鳞鳍的角度保持恒定在(15°)。在第一部分中获得的最佳鳍对鳍间距被认为是第二部分的约束。本设计的瑞利数为(Ra = 103, 104, 105)。用有限体积法求解了自然对流的二维质量、动量和能量方程。结果表明，在(Ra = 103)和(Ra = 105)处，由于在大翅片之间存在小翅片，小翅片的传热密度增加百分比分别为10.22%和50.6%。

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来源期刊

Heat Transfer Research 工程技术-热力学

CiteScore

3.10

自引率

23.50%

发文量

102

审稿时长

13.2 months

期刊介绍： Heat Transfer Research (ISSN1064-2285) presents archived theoretical, applied, and experimental papers selected globally. Selected papers from technical conference proceedings and academic laboratory reports are also published. Papers are selected and reviewed by a group of expert associate editors, guided by a distinguished advisory board, and represent the best of current work in the field. Heat Transfer Research is published under an exclusive license to Begell House, Inc., in full compliance with the International Copyright Convention. Subjects covered in Heat Transfer Research encompass the entire field of heat transfer and relevant areas of fluid dynamics, including conduction, convection and radiation, phase change phenomena including boiling and solidification, heat exchanger design and testing, heat transfer in nuclear reactors, mass transfer, geothermal heat recovery, multi-scale heat transfer, heat and mass transfer in alternative energy systems, and thermophysical properties of materials.