Abstract The heat transfer in flowing liquid stream towards confined geometries having natural or man-made obstacles offers complex mathematical constraints at the heated body-liquid stream interface. Therefore, to appraise the heat transfer in liquid stream with installed obstacles particularly in terms of hydrodynamic forces remains a topic of great interest for the researchers. Owing such interest, the present article contains the extended evaluation of hydrodynamic forces in a flowing liquid stream with heat transfer individualities. To be more, the Newtonian liquid stream is initiated with the parabolic velocity profile at an inlet of partially heated rectangular channel. The heated elliptic shaped cylinder is placed fixed in between channel as an obstacle. The heated triangular ribs are installed case-wise namely (i) channel without ribs (ii) heated triangular rib at lower wall (iii) heated triangular rib at upper wall (iv) heated triangular rib at both upper and lower walls. The presence of heated triangular ribs as an obstacles modifies the endpoint conditions and hence the developed flow narrating differential system cannot be solved exactly. Therefore, the most trustful numerical method named finite element method with LBB-stable finite element pair is utilized to report acceptable solution in terms of streamlines and isotherms contour plots. The hydrodynamic forces are evaluated for each case by adopting line integration around outer surface of heated elliptic obstacle. It is noticed that when the heated triangular rib is installed on both upper and lower channel walls, the drag coefficient is found considerably high.

中文翻译：

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加热三角肋对加热椭圆圆柱矩形域中水动力的影响：有限元分析

摘要 流动的液体流向具有自然或人造障碍物的受限几何结构的热传递在加热的体液流界面提供了复杂的数学约束。因此，评估安装有障碍物的液体流中的传热，特别是在水动力方面，仍然是研究人员非常感兴趣的话题。由于这种兴趣，本文包含对具有传热特性的流动液体流中的水动力的扩展评估。更重要的是，牛顿液体流在部分加热的矩形通道的入口处以抛物线速度分布开始。加热的椭圆形圆柱体作为障碍物固定放置在通道之间。加热的三角肋按情况安装，即 (i) 没有肋的通道 (ii) 下壁加热的三角肋 (iii) 上壁加热的三角肋 (iv) 上下壁加热的三角肋。加热三角肋作为障碍物的存在修改了端点条件，因此无法精确求解已开发的流叙述微分系统。因此，最值得信赖的数值方法称为具有 LBB 稳定有限元对的有限元方法，用于报告流线和等温线等高线图方面的可接受解。通过在加热椭圆形障碍物的外表面周围采用线积分来评估每种情况的水动力。注意到当加热三角肋安装在上下通道壁上时，