This study investigated the momentum and thermal characteristics of a blunt-headed cylinder immersed in a stream of generalized Newtonian fluids (i.e., power-law fluids) under various planar confinements. The flow and heat transfer characteristics were obtained by solving the constitutive equations with a finite-element-based solver for varying ranges of governing parameters. Reynolds number (Re = 1–40), Prandtl number (Pr = 5–100), power-law index (n = 0.3–1.8), and blockage ratios (β = 2–40) were considered as the governing parameters for the study. Streamlines, drag coefficients, isotherm contours, and average Nusselt numbers were obtained as output parameters of the study. The local distribution of the pressure coefficient and Nusselt number are also presented to gain deep insight into the vicinity of the blunt-headed cylinder. Shear-thickening and shear-thinning fluids exhibited an inverse trend for flow separation under planar confinements. The average Nusselt number exhibits a positive correlation with the Reynolds and Prandtl numbers while showing negative dependence on the power-law index and blockage ratio. Overall, momentum and heat transfer show complex relationships with the governing parameters. The functional relationships are shown as correlations for flow-separation Reynolds number, total drag force, and average Nusselt number on relevant dimensionless parameters for general applications.

中文翻译：

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平面约束对钝头圆柱体到广义牛顿流体的动量和传热的影响

这项研究研究了在各种平面限制下浸入广义牛顿流体（即幂律流体）流中的钝头圆柱体的动量和热特性。通过使用基于有限元的求解器针对不同范围的控制参数求解本构方程，获得了流动和传热特性。雷诺数 ( Re = 1–40)、普朗特数 ( Pr = 5–100)、幂律指数 ( n = 0.3–1.8) 和堵塞比 ( β = 2–40) 被视为控制参数学习。获得流线、阻力系数、等温线和平均努塞尔数作为研究的输出参数。还提供了压力系数和努塞尔数的局部分布，以便深入了解钝头圆柱体的附近区域。剪切增稠和剪切稀化流体在平面限制下表现出相反的流动分离趋势。平均努塞尔数与雷诺数和普朗特数呈正相关，而与幂律指数和阻塞比呈负相关。总体而言，动量和传热与控制参数之间存在复杂的关系。函数关系显示为流动分离雷诺数、总阻力和平均努塞尔数与一般应用的相关无量纲参数的相关性。