Purpose

The purpose of this study is to simulate the thermo-solutal convection resulting from a circular cylinder hanging in a rod inside a ∧-shaped cavity.

Design/methodology/approach

The two dimensional ∧-shaped cavity is filled by Al₂O₃-water nanofluid and saturated by three different levels of heterogeneous porous media. An incompressible smoothed particle hydrodynamics (ISPH) method is adopted to solve the governing equations of the present problem. The present simulations have been performed for the alteration of buoyancy ratio (−2≤N≤2), radius of a circular cylinder (0.05≤Rc≤0.3), a height of a rod (0.1≤Lh≤0.4), Darcy parameter (10−3≤Da≤10−5), Lewis number (1≤Le≤40), solid volume fraction (0≤ϕ≤0.06), porous levels (0≤η1=η2≤1.5)and various boundary-wall conditions.

Findings

The performed numerical simulations indicated the importance of embedded shapes on the distributions of temperature, concentration and velocity fields inside ∧-shaped cavity. Increasing buoyancy ratio parameter enhances thermo-solutal convection and nanofluid velocity. Adiabatic conditions of the vertical-walls of ∧-shaped cavity augment the distributions of the temperature and concentration. Regardless the Darcy parameter, a homogeneous porous medium gives the lowest values of a nanofluid velocity.

Originality/value

ISPH method is used to simulate thermo-solutal convection of a nanofluid inside a novel ∧-shaped cavity containing a novel embedded shape and heterogeneous porous media.

中文翻译：

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纳米流体在多孔介质饱和的∧形腔中的热溶对流

目的

本研究的目的是模拟由悬挂在 ∧ 形空腔内的杆中的圆柱体产生的热溶对流。

设计/方法/方法

二维∧形空腔由Al ₂ O _{3 -}水纳米流体填充，并被三种不同层次的异质多孔介质饱和。采用不可压缩光滑粒子流体力学(ISPH)方法求解当前问题的控制方程。目前的模拟已经进行了浮力比的改变 (-2≤N≤2), 圆柱半径 (0.05≤电阻C≤0.3), 杆的高度 (0.1≤升H≤0.4), 达西参数 (10-3≤D一种≤10-5), 刘易斯数 (1≤升电子≤40), 固体体积分数 (0≤φ≤0.06), 多孔水平 (0≤η1=η2≤1.5)和各种边界壁条件。

发现

进行的数值模拟表明嵌入形状对∧形腔内温度、浓度和速度场分布的重要性。增加浮力比参数可增强热溶质对流和纳米流体速度。∧形空腔垂直壁的绝热条件增强了温度和浓度的分布。无论达西参数如何，均质多孔介质会给出纳米流体速度的最低值。

原创性/价值

ISPH 方法用于模拟纳米流体在包含新型嵌入形状和异质多孔介质的新型 ∧ 形腔内的热溶质对流。