利用有限差分方法全面了解Carreau流体在变厚度旋转圆盘上流动的热物理方面

IF 5.4 2区 工程技术 Q1 ENGINEERING, AEROSPACE Propulsion and Power Research Pub Date : 2022-03-01 DOI:10.1016/j.jppr.2022.03.001
Sardar Bilal, Imtiaz Ali Shah
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引用次数: 8

摘要

本文分析了变厚非均匀旋转圆盘上卡罗液体流动的热特性。针对复耦合偏微分系统,构造了数学表达式。然后,采用边界层法对边界层区域内考虑的现象进行综合考察。利用卡门变换将得到的偏微分方程转化为常微分方程组。采用Keller-Box格式对得到的ODE系统进行了数值求解。通过示意图说明了所涉及的凸点参数对动量和热分布的影响。此外,还计算了流动参数对壁面剪切应力和热通量的影响。本发现的保证是通过与已发表的结果一致和将所考虑的问题限制在牛顿的情况下来完成的。在这里,我们观察到径向和切向壁面阻力随着幂律指数的增大而减小。此外,圆盘厚度参数的结果是沿径向应力增大,而切向摩擦和热通量因素的结果则相反。
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A comprehensive physical insight about thermo physical aspects of Carreau fluid flow over a rotated disk of variable thickness by implementing finite difference approach

Present communication is devoted to analyze thermal characteristics of Carreau liquid flowing on variably thickened non-uniformly rotating disk. Mathematical formulation is constructed in view of complex coupled partial differential system. Afterwards, boundary layer approach is executed for comprehensive examination of under consideration phenomenon with in boundary layer region. Karman's transformation is capitalized to convert the attained PDE's into ordinary differential equations system. Solution of attained ODE's system is solved numerically by implementing Keller-Box scheme. Influence of protuberant involved parameters on momentum and thermal distributions is illustrated through sketches. In addition, impact of flow concerning parameters on wall shear stress and thermal flux is also evaluated. The assurance of present finding is done by making agreement with published results and by restricting considered problem to Newtonian case. Here, we observed that radially and tangentially directed wall drag lessen with growing magnitude of power law exponent index. Moreover, the consequence of disk thickness parameter grows stresses along radial direction whereas opposite behavior is depicted in case of tangentially directed friction and heat flux factors.

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来源期刊
CiteScore
7.50
自引率
5.70%
发文量
30
期刊介绍: Propulsion and Power Research is a peer reviewed scientific journal in English established in 2012. The Journals publishes high quality original research articles and general reviews in fundamental research aspects of aeronautics/astronautics propulsion and power engineering, including, but not limited to, system, fluid mechanics, heat transfer, combustion, vibration and acoustics, solid mechanics and dynamics, control and so on. The journal serves as a platform for academic exchange by experts, scholars and researchers in these fields.
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