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首页> 外文期刊>International Journal of Heat and Mass Transfer >Free convection heat transfer in a square cavity filled with a porous medium saturated by a nanofluid
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Free convection heat transfer in a square cavity filled with a porous medium saturated by a nanofluid

机译：在充满纳米流体饱和的多孔介质的方腔中的自由对流传热

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摘要

The steady natural convection in a two-dimensional porous square cavity filled with a nanofluid and including internal heat generation is presented in this paper. The mathematical model considered consists of the Darcy equation for the momentum, while a new model is proposed for the energy and nanoparticles' concentration equations. The system of partial differential equations is written in terms of a dimensionless stream function, temperature and concentration of the nanoparticles and is solved numerically using the finite difference method. The effects of the governing parameters, such as: Rayleigh number Ra, the Lewis number Le and the dimensionless ratio between the thermophoretic and Brownian coefficients N_(BT) on the velocity, temperature and nanoparticles' concentration, Nusselt and Sherwood numbers are studied. It is found that the addition of the nanoparticles into the fluid saturated porous medium reduces the temperature and enhances the heat transfer when the value of the thermal conductivity of the nanoparticles is much higher than the thermal conductivity of the solid structure of the porous medium. This addition has almost no effect on the flow and heat transfer characteristics when the values of the thermal conductivity of the nanoparticles and the thermal conductivity of the solid structure of the porous medium have close values.
机译：本文介绍了一个二维的方孔中的稳态自然对流，该方孔中填充了纳米流体并包含内部热量的产生。所考虑的数学模型由动量的达西方程组成，而为能量和纳米粒子的浓度方程提出了一个新模型。偏微分方程组用无量纲的流函数，温度和纳米粒子的浓度表示，并使用有限差分法进行数值求解。研究了诸如瑞利数Ra，路易斯数Le和热泳和布朗系数N_（BT）之间的无量纲比等控制参数对速度，温度和纳米粒子浓度，努塞尔和舍伍德数的影响。发现当纳米颗粒的导热率的值远高于多孔介质的固体结构的导热率时，将纳米颗粒添加到流体饱和的多孔介质中降低了温度并增强了热传递。当纳米颗粒的热导率值和多孔介质的固体结构的热导率值接近时，该添加几乎对流动和传热特性没有影响。

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