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Flow of micropolar fluid between two orthogonally moving porous disks

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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.

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Authors and Affiliations

  1. Department of Applied Mathematics, University of Science and Technology Beijing, Beijing, 100083, P. R. China

    Xin-hui Si  (司新辉) & Lian-cun Zheng  (郑连存)

  2. Department of Mechanical Engineering, University of Science and Technology Beijing, Beijing, 100083, P. R. China

    Xin-xin Zhang  (张欣欣)

  3. College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing, 210098, P. R. China

    Xin-yi Si  (司新毅)

Authors
  1. Xin-hui Si  (司新辉)
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  2. Lian-cun Zheng  (郑连存)
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  3. Xin-xin Zhang  (张欣欣)
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  4. Xin-yi Si  (司新毅)
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Corresponding author

Correspondence to Xin-hui Si  (司新辉).

Additional information

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)

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Si, Xh., Zheng, Lc., Zhang, Xx. et al. Flow of micropolar fluid between two orthogonally moving porous disks. Appl. Math. Mech.-Engl. Ed. 33, 963–974 (2012). https://doi.org/10.1007/s10483-012-1598-8

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  • DOI: https://doi.org/10.1007/s10483-012-1598-8

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