Modeling of rarefied gas flows in streamwise periodic channels: Application of coupled constitutive relations and the method of fundamental solutions

IF 4.2 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements Pub Date : 2025-01-18 DOI:10.1016/j.enganabound.2024.106108

Ankit Farkya, Anirudh Singh Rana

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引用次数: 0

Abstract

Periodic structures are ubiquitous in nature and engineering, offering unique properties that inspire a range of applications. This paper explores the mathematical modeling of periodic structures in rarefied gas flows using the coupled constitutive relations (CCR) model. The method of fundamental solutions (MFS), known for its meshfree nature and computational efficiency, is utilized as a numerical tool. The streamwise periodic boundary conditions are incorporated into the MFS for modeling two-dimensional flow in periodically patterned channels. We validate the developed CCR-MFS framework with analytical solutions for force-driven Poiseuille and Couette flow. The error analysis is also performed to determine the optimal singularity location. Furthermore, we simulate the flow in channels with periodic patterns by varying the accommodation coefficient. This allows us to analyze the effects of patterning and accommodation coefficients in the Maxwell model of boundary conditions. Effects of patterning on mass flux, energy flux, and average friction coefficients are also presented for the force-driven flow in patterned channels. Our simulations demonstrate the potential of the mathematical and computational techniques to enhance the performance and functionality of a range of technological applications.

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流动周期通道中稀薄气体流动的模拟：耦合本构关系和基本解方法的应用

周期结构在自然界和工程中无处不在，提供了独特的特性，激发了一系列的应用。本文利用耦合本构关系（CCR）模型探讨了稀薄气体流动中周期结构的数学建模。基本解方法（MFS）以其无网格特性和计算效率而闻名，被用作一种数值工具。将顺流周期边界条件引入到MFS中，用于模拟周期性图案通道内的二维流动。我们用力驱动的Poiseuille流和Couette流的解析解验证了开发的CCR-MFS框架。通过误差分析，确定了最优的奇异点位置。此外，我们通过改变调节系数来模拟具有周期性模式的通道中的流动。这使我们能够分析边界条件麦克斯韦模型中图案和调节系数的影响。在有图案的通道中，图案对力驱动流动的质量通量、能量通量和平均摩擦系数也有影响。我们的模拟展示了数学和计算技术在提高一系列技术应用的性能和功能方面的潜力。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Engineering Analysis with Boundary Elements 工程技术-工程：综合

CiteScore

5.50

自引率

18.20%

发文量

368

审稿时长

56 days

期刊介绍： This journal is specifically dedicated to the dissemination of the latest developments of new engineering analysis techniques using boundary elements and other mesh reduction methods. Boundary element (BEM) and mesh reduction methods (MRM) are very active areas of research with the techniques being applied to solve increasingly complex problems. The journal stresses the importance of these applications as well as their computational aspects, reliability and robustness. The main criteria for publication will be the originality of the work being reported, its potential usefulness and applications of the methods to new fields. In addition to regular issues, the journal publishes a series of special issues dealing with specific areas of current research. The journal has, for many years, provided a channel of communication between academics and industrial researchers working in mesh reduction methods Fields Covered: • Boundary Element Methods (BEM) • Mesh Reduction Methods (MRM) • Meshless Methods • Integral Equations • Applications of BEM/MRM in Engineering • Numerical Methods related to BEM/MRM • Computational Techniques • Combination of Different Methods • Advanced Formulations.