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Numerical simulation of MHD double diffusive natural convection and entropy generation in a wavy enclosure filled with nanofluid with discrete heating

机译：离散加热纳米流体填充的波浪形壳体内MHD双扩散自然对流和熵产生的数值模拟

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摘要

A numerical investigation of entropy generation, heat and mass transfer is performed on steady double diffusive natural convection of water-based Al2O3 nanofluid within a wavy-walled cavity with a center heater under the influence of an uniform vertical magnetic field. The top horizontal wavy wall, left and right vertical walls of the enclosure are kept at low temperature and concentration of Tc and cc whereas central part of the bottom horizontal wall is maintained at high temperature and concentration of Th and ch and the remaining part is kept adiabatic where temperature and concentration gradient are taken as zero. The Bi-CGStab method and Tri-diagonal algorithm are used to solve the governing equations. The study has been performed for several relevant parameters such as Rayleigh number (103≤Ra≤105), Hartmann number (0≤Ha≤60), buoyancy ratio number (−2≤N≤2), volume fraction of nanoparticles (0.0≤ϕ≤0.2) and different undulation number of the upper wavy wall (n). The Prandtl number and Lewis number are kept fixed at Pr=6.2 and Le=2. The effect of these parameters are revealed in terms of streamlines, isotherms, isoconcentrations, entropy generation, average Nusselt number and Sherwood number. Results indicate that heat and mass transfer rate augment as Rayleigh number and volume fraction of nanoparticles increase and are found to drop with the increase in Hartmann number and buoyancy ratio.
机译：在均匀垂直磁场的影响下，在带有中心加热器的波状空腔内的水基Al2O3纳米流体的稳态双扩散自然对流下，进行了熵产生，传热和传质的数值研究。外壳的顶部水平波浪形壁，左右垂直壁均保持低温，浓度 T c 和 c c ，而底部水平壁的中央部分则保持高温并且 T h 和 c h 和其余部分保持绝热，其中温度和浓度梯度为零。使用Bi-CGStab方法和三对角线算法求解控制方程。该研究已针对几个相关参数进行，例如瑞利数（ 10 3 ≤ R < / mi> a ≤ 10 5 ），哈特曼编号（ 0 ≤ H a ≤ 60 < / math>），浮力比值（ − 2 ≤ N ≤ 2 < / mn> ），纳米粒子的体积分数（ 0.0 ≤ ϕ ≤ 0.2 ）和不同的起伏数上部波浪墙（n）。 Prandtl号和Lewis号固定为 < mi mathvariant =“ normal”> Pr = 6.2 和 Le < / mrow> = 2 。这些参数的影响通过流线，等温线，等浓度，熵生成，平均努塞尔数和舍伍德数来揭示。结果表明，传热和传质速率随纳米颗粒的瑞利数和体积分数的增加而增加，并且随着哈特曼数和浮力比的增加而下降。

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