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Mixed convection analysis in a split lid-driven trapezoidal cavity having elliptic shaped obstacle
International Communications in Heat and Mass Transfer ( IF 7 ) Pub Date : 2021-07-10 , DOI: 10.1016/j.icheatmasstransfer.2021.105448
S. Saqib Shah 1 , Rizwan Ul Haq 2 , Wael Al-Kouz 3
Affiliation  

In this manuscript, thermal performance of nanofluid enclosed by a split lid-driven trapezoidal cavity is presented that comprise elliptic shaped obstacle. Bottom wall maintained the constant temperature (cold) and slant walls are considered as insulated (adiabatic). Energy is transferred through top horizontal wall of the cavity and driven through split lids which are moving with constant velocities. Finite element method is applied to handle the dimensionless system of partial differential equations for velocity, temperature and concentration. The impact of emerging parameters such as: Richardson number (10−2 ≤ Ri ≤ 10), Lewis number (0.1 ≤ Le ≤ 10), Reynolds number (300 ≤ Re ≤ 500) and buoyancy ratio (−10 ≤ Br ≤ 10) for different directional velocity, temperature and concentration profiles are analysed. To determine the heat transfer rate due to force convection is determine through local Nusselt number along the heating surface. Graphical interpretation of these profiles represent that Lewis number have significant impact at isotherms and concentration. For smaller value of buoyancy ratio parameter, maximum heat transfer is obtained inside the direction of the lid walls. Lewis number proves the dominant effect at isotherm and concentration due to high thermal diffusion in the entire domain of the cavity.



中文翻译:

具有椭圆形障碍物的分裂盖驱动梯形腔中的混合对流分析

在这份手稿中,介绍了由分裂盖驱动的梯形腔包围的纳米流体的热性能,其中包括椭圆形障碍物。底壁保持恒温(冷),斜壁被认为是隔热的(绝热)。能量通过腔体的顶部水平壁传递并通过以恒定速度移动的分裂盖驱动。有限元方法用于处理速度、温度和浓度的偏微分方程的无量纲系统。新兴参数的影响如:理查森数 (10 -2  ≤  Ri  ≤ 10)、路易斯数 (0.1 ≤  Le  ≤ 10)、雷诺数 (300 ≤ Re ≤ 500) 和浮力比 (-10 ≤  Br) ≤ 10) 对不同方向的速度、温度和浓度分布进行分析。确定由于力对流引起的热传递率是通过沿加热表面的局部努塞尔数确定的。这些曲线的图形解释表明路易斯数对等温线和浓度有显着影响。对于较小的浮力比参数值,在盖壁方向内获得最大的传热。由于腔的整个域中的高热扩散,路易斯数证明了等温线和浓度的主要影响。

更新日期:2021-07-12
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