利用退化算子:几何摄动洞察Eyring-Powell流体流动模型

IF 1.3 4区 工程技术 Q3 MECHANICS
Saeed ur Rahman, José Luis Díaz Palencia
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引用次数: 0

摘要

本文给出了基于Eyring-Powell型黏度的非线性扩散下流体流动的公式,并给出了退化半抛物算子。引入这样一个退化算子是很重要的,因为它允许我们进一步探索以前文献中没有考虑过的一般模型。因此,我们的目的是对上述流动模型提供分析见解和数值评估:首先,提供了一些与弱解的正则性和唯一性有关的结果。将问题转化为行波域,在几何摄动理论支持的渐近展开式中得到解。最后,考虑了一个数值过程作为基础,以确保所提出的分析评估的有效性。对给定的低雷诺数经典多孔介质进行了数值计算。要强调的主要发现是:我们证明了速度分量的解存在指数分布。对于所考虑的非线性黏度项,这个结果不是微不足道的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Insight into the Eyring–Powell fluid flow model using degenerate operator: geometric perturbation
Abstract This work provides a formulation of a fluid flow under a nonlinear diffusion based on a viscosity of Eyring–Powell type along with a degenerate semi-parabolic operator. The introduction of such a degenerate operator is significant as it allows us to explore a further general model not previously considered in the literature. Our aims are hence to provide analytical insights and numerical assessments to the mentioned flow model: firstly, some results are provided in connection with the regularity and uniqueness of weak solutions. The problem is converted into the travelling wave domain where solutions are obtained within an asymptotic expansion supported by the geometric perturbation theory. Finally, a numerical process is considered as the basis to ensure the validity of the analytical assessments presented. Such numerical process is performed for low Reynolds numbers given in classical porous media. As a main finding to highlight: we show that there exist exponential profiles of solutions for the velocity component. This result is not trivial for the non-linear viscosity terms considered.
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来源期刊
Fluid Dynamics Research
Fluid Dynamics Research 物理-力学
CiteScore
2.90
自引率
6.70%
发文量
37
审稿时长
5 months
期刊介绍: Fluid Dynamics Research publishes original and creative works in all fields of fluid dynamics. The scope includes theoretical, numerical and experimental studies that contribute to the fundamental understanding and/or application of fluid phenomena.
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