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Ritz method for slip flow in curved micro-ducts and application to the elliptic duct

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Abstract

Slip flow is essential for micro-fluidics. Due to its difficulty, there are few reports on the slip flow in a curved duct. This paper introduces a new, highly efficient, semi-analytic Ritz method to treat slip flow in a general curved duct. The method is then applied to the curved elliptic duct which includes the important curved circular duct. Surface slip of a curved duct not only promotes the flow rate, but also shifts the maximum velocity towards the outer boundary and the minimum velocity towards the inner boundary.

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Authors and Affiliations

  1. Department of Mathematics, Michigan State University, East Lansing, MI, 48824, USA

    C. Y. Wang

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  1. C. Y. Wang
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Correspondence to C. Y. Wang.

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Wang, C.Y. Ritz method for slip flow in curved micro-ducts and application to the elliptic duct. Meccanica 51, 1069–1076 (2016). https://doi.org/10.1007/s11012-015-0288-8

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  • DOI: https://doi.org/10.1007/s11012-015-0288-8

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