It is well consensus among researchers that the non-Newtonian fluid equipped in closed enclosures brings complicated mathematical models and hence one cannot examine flow field truly. The present attempt is first numerical investigation to evaluate the buoyantly convective non-Newtonian fluid flow equipped in hexagonal shaped cavity. The uniformly heated T-shaped fin is embedded at lower wall of hexagonal cavity. The top wall of hexagonal cavity is manifested with an adiabatic condition. The bottom wall of enclosure is taken uniformly heated. Both left and right walls are kept cold. The buoyantly convective Casson fluid flow around uniformly heated T-shaped fin is mathematically controlled by way of system of partial differential equations. The finite element method is adopted to report numerical solution. The hexagonal enclosure as a computational domain is discretized by means of both triangular and rectangular elements. The velocity and temperature distribution around uniformly heated T-shaped are examined towards Rayleigh number. The line graph study is also executed to report the dimensionless Casson fluid and Casson temperature along center and vertical line directions of T-shaped fin. The impact of Rayleigh number on heat transfer rate along the surface of heated fin is also examined and offered by means of line graph. It is observed that the heat transfer rate enhances along the surface of T-shaped fin when we increase the Rayleigh number.

研究人员之间的共识是，封闭空间中配备的非牛顿流体带来了复杂的数学模型，因此人们无法真正检查流场。本尝试是首次数值研究，以评估装备在六角形腔体中的非对流浮力对流。均匀加热的T形鳍片嵌入六角形空腔的下壁。六角形腔的顶壁具有绝热状态。外壳的底壁被均匀加热。左右墙壁均保持低温。通过偏微分方程组数学地控制均匀加热的T形翅片周围的浮性对流卡森流体。采用有限元方法进行数值求解。六角形外壳作为计算域通过三角形和矩形元素离散化。朝瑞利数检查均匀加热的T形周围的速度和温度分布。还执行了线图研究，以报告沿着T形鳍片的中心线和垂直线方向的无量纲Casson流体和Casson温度。瑞利数对沿加热翅片表面的传热速率的影响也可以通过线形图进行检查和提供。观察到，当我们增加瑞利数时，传热速率沿着T形鳍片的表面增加。还执行了线图研究，以报告沿着T形鳍片的中心线和垂直线方向的无量纲Casson流体和Casson温度。瑞利数对沿加热翅片表面的传热速率的影响也可以通过线形图进行检查和提供。观察到，当我们增加瑞利数时，传热速率沿着T形鳍片的表面增加。还执行了线图研究，以报告沿着T形鳍片的中心线和垂直线方向的无量纲Casson流体和Casson温度。瑞利数对沿加热翅片表面的传热速率的影响也可以通过线形图进行检查和提供。观察到，当我们增加瑞利数时，传热速率沿着T形鳍片的表面增加。