Natural convection of Al2O3‐water nanofluid filled annulus between a wavy rectangle and a square cavity using Buongiorno's two‐phase model,ZAMM - Journal of Applied Mathematics and Mechanics

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Natural convection of Al2O3‐water nanofluid filled annulus between a wavy rectangle and a square cavity using Buongiorno's two‐phase model
ZAMM - Journal of Applied Mathematics and Mechanics ( IF 2.3 ) Pub Date : 2020-06-05 , DOI: 10.1002/zamm.202000002
Abdelraheem M. Aly _{1,

2}

Affiliation

In this work, an incompressible smoothed particle hydrodynamics (ISPH) method is used to simulate the natural convection of Al₂O₃‐water nanofluid filled annulus between a wavy rectangle and a square cavity using non‐homogenous Buongiorno's two‐phase model. In the physical model, the left cavity wall is kept at a high temperature

T_{h}

, the right wall has a lower temperature

T_{c}

, and the horizontal walls are adiabatic. The Lagrangian description of the partial governing equations is discretized using ISPH method. Simulations were carried out for variable wave amplitude

(0.01 \leq A \leq 0.12)

, variable wave length of wavy rectangle

(0.3 \leq L_{r} \leq 0.8)

, and variable average of nanoparticle volume fraction

(1 % \leq ϕ_{a v g} \leq 10 %)

. Moreover, two cases of thermal conductions including adiabatic and cooling conditions for the inner wavy blockage were considered. The length of the inner wavy rectangle plays an important role on controlling the convective heat transfer and fluid intensity through the annulus. An increase on the length and amplitude of the wavy rectangle reduces the convection flow, maximum values of the stream function and strength of the velocity field. A growing on the average of nanoparticle volume fraction

ϕ_{a v g}

reduces the maximum of the stream function, normalized nanoparticle volume fractions

φ^{*}

, and average Nusselt number.

中文翻译：

使用Buongiorno的两相模型，波浪矩形和方腔之间的Al2O3水纳米流体填充环空对流

在这项工作中，不可压缩的光滑粒子流体动力学（ISPH）方法用于使用非均质Buongiorno的两相模型模拟波浪形矩形和方腔之间的Al ₂ O _3-水纳米流体填充环空的自然对流。在物理模型中，左腔壁保持高温