Flow of micropolar fluid between two orthogonally moving porous disks

doi:10.1007/s10483-012-1598-8

Applied Mathematics and Mechanics (English Edition) ›› 2012, Vol. 33 ›› Issue (8): 963-974.doi: https://doi.org/10.1007/s10483-012-1598-8

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Flow of micropolar fluid between two orthogonally moving porous disks

司新辉¹, 郑连存¹, 张欣欣², 司新毅³

1. Department of Applied Mathematics, University of Science and Technology Beijing, Beijing 100083, P. R. China;
2. Department of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083, P. R. China;
3. College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing 210098, P. R. China

收稿日期:2011-11-21 修回日期:2012-03-26 出版日期:2012-08-10 发布日期:2012-08-10
通讯作者: Xin-hui SI, Ph.D., E-mail: sixinhui_ustb@126.com E-mail:sixinhui_ustb@126.com
基金资助:
Project supported by the National Natural Science Foundation of China (Nos. 51004013, 50936003, 51174028, and 50905013), the Research Foundation of Engineering Research Institute of University of Science and Technology Beijing (No.Yj2011-015), and the Fundamental Research Funds for the Central Universities (No.T-RF-TP-12-108A)

Flow of micropolar fluid between two orthogonally moving porous disks

Xin-hui SI¹, Lian-cun ZHENG¹, Xin-xin ZHANG², Xin-yi SI ³

1. Department of Applied Mathematics, University of Science and Technology Beijing, Beijing 100083, P. R. China;
2. Department of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083, P. R. China;
3. College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing 210098, P. R. China

Received:2011-11-21 Revised:2012-03-26 Online:2012-08-10 Published:2012-08-10
Supported by:
Project supported by the National Natural Science Foundation of China (Nos. 51004013, 50936003, 51174028, and 50905013), the Research Foundation of Engineering Research Institute of University of Science and Technology Beijing (No.Yj2011-015), and the Fundamental Research Funds for the Central Universities (No.T-RF-TP-12-108A)

摘要/Abstract

摘要： The unsteady, laminar, incompressible, and two-dimensional flow of a micropolar fluid between two orthogonally moving porous coaxial disks is considered. The extension of von Karman’s similarity transformations is used to reduce the governing partial differential equations (PDEs) to a set of non-linear coupled ordinary differential equations (ODEs) in the dimensionless form. The analytical solutions are obtained by employing the homotopy analysis method (HAM). The effects of various physical parameters such as the expansion ratio and the permeability Reynolds number on the velocity fields are discussed in detail.

关键词: Hilbert C^*-module, operator-valued random variable, free Fisher information, homotopy analysis method (HAM), expansion ratio, orthogonally moving porous disk

Abstract: The unsteady, laminar, incompressible, and two-dimensional flow of a micropolar fluid between two orthogonally moving porous coaxial disks is considered. The extension of von Karman’s similarity transformations is used to reduce the governing partial differential equations (PDEs) to a set of non-linear coupled ordinary differential equations (ODEs) in the dimensionless form. The analytical solutions are obtained by employing the homotopy analysis method (HAM). The effects of various physical parameters such as the expansion ratio and the permeability Reynolds number on the velocity fields are discussed in detail.

Key words: Hilbert C^*-module, operator-valued random variable, free Fisher information, homotopy analysis method (HAM), expansion ratio, orthogonally moving porous disk

中图分类号:

司新辉;郑连存;张欣欣;司新毅. Flow of micropolar fluid between two orthogonally moving porous disks[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(8): 963-974.

Xin-hui SI;Lian-cun ZHENG;Xin-xin ZHANG;Xin-yi SI . Flow of micropolar fluid between two orthogonally moving porous disks[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(8): 963-974.

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Flow of micropolar fluid between two orthogonally moving porous disks

Flow of micropolar fluid between two orthogonally moving porous disks

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