Theory and simulation of micropolar fluid dynamics

J. Chen; C. Liang; J. D. Lee

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Theory and simulation of micropolar fluid dynamics

机译：Theory and simulation of micropolar fluid dynamics

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This paper reviews the fundamentals of micropolar fluid dynamics (MFD), and proposes a numerical scheme integrating Chorin's projection method and time-centred split method (TCSM) for solving unsteady forms of MFD equations. It has been known that Navier-Stokes equations are incapable of explaining the phenomena at micro and nano scales. On the contrary, MFD can naturally pick up the physical phenomena at micro and nano scales owing to its additional degrees of freedom for gyration. In this study, the analytical and exact solutions of Couette and Hagen-Poiseuille flow are provided. Though this study is limited to the steady flow cases, the unsteady term in the MFD has been taken into account. This present work initiates the development of a general-purpose code of computational micropolar fluid dynamics (CMFD). The discretization scheme in space is demonstrated with nearly second-order accuracy on multiple meshes.

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《Proceedings of the Institution of Mechanical Engineers, Part N. Journal of Nanoengineering and Nanosystems》 |2010年第2期|31-39|共9页
作者
J. Chen; C. Liang; J. D. Lee;
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作者单位

Department of Mechanical and Aerospace Engineering, The George Washington University;

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原文格式 PDF
正文语种英语
中图分类机械、仪表工业;
关键词
Micropolar fluid dynamics (MFD); Microfluidics; Computational micropolar fluid dynamics (CMFD); Finite difference method; Projection method; Time-centre split method (TCSM);

Theory and simulation of micropolar fluid dynamics

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