Purpose

This study aims to investigate lattice Boltzmann (LB) simulation of the fluid flow and heat transfer characteristics of a heated porous elliptic cylinder in uniform flow based on the two-domain scheme. In the present research, the effect of axis ratio (1 ≤ AR ≤ 2), Reynolds number (5 ≤ Re ≤ 40) and Darcy number (10⁻⁴ ≤ Da ≤ 10⁻²) are studied.

Design/methodology/approach

To perform the LB simulation based on the two-domain scheme, the nonequilibrium extrapolation method is modified to model the heat transfer interfacial conditions required at the curved interface.

Findings

The results show that the axis ratio as well as Reynolds and Darcy numbers significantly affect the fluid flow and heat transfer characteristics of the porous elliptic cylinder. It is shown that for AR > 1, the phenomenon of detached recirculating zone occurs at much higher Darcy numbers compared with the case of the porous circular cylinder (AR = 1). The results show that the location of maximum temperature within the cylinder moves downstream when the Reynolds number, Darcy number and axis ratio increase. It is also concluded that the average Nusselt number of a porous elliptic cylinder is always lower than that of a porous circular cylinder.

Originality/value

The LB simulation of forced convection from a porous cylinder in uniform flow with a curved interface based on the two-domain scheme has not been studied yet.

中文翻译：

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受热多孔椭圆柱体流体流动和传热特性的格子玻尔兹曼研究：两域方案

目的

本研究旨在研究基于双域方案的受热多孔椭圆柱在均匀流动中的流体流动和传热特性的格子玻尔兹曼 (LB) 模拟。在本研究中，研究了轴比（1≤AR≤2）、雷诺数（5≤Re≤40 ）和达西数（10 -4 ^≤Da≤10 -2 ^）的影响。

设计/方法/途径

为了基于两域方案执行 LB 模拟，对非平衡外推法进行了修改，以模拟弯曲界面所需的传热界面条件。

发现

结果表明，轴比以及雷诺数和达西数显着影响多孔椭圆柱的流体流动和传热特性。结果表明，对于 AR > 1，与多孔圆柱体 (AR = 1) 的情况相比，分离再循环区现象发生在高得多的达西数处。结果表明，当雷诺数、达西数和轴比增大时，筒体内最高温度位置向下游移动。还得出结论，多孔椭圆柱的平均努塞尔数总是低于多孔圆柱的平均努塞尔数。

原创性/价值

尚未研究基于双域方案的具有弯曲界面的均匀流动多孔圆柱体强制对流的 LB 模拟。