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On pulsatile flow of a viscous fluid in a rotating channel

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Abstract

A study is made on the pulsatile flow superposed on a steady laminar flow of a viscous fluid in a parallel plate channel rotating with an angular velocity Ω about an axis perpendicular to the plates. An exact solution of the governing equations of motion is obtained. The solution in dimensionless form contain two parametersK 2=ΩL 2/v which is reciprocal of Ekmann Number and frequency parameter σ=αL 2/v. The effects of these parameters on the principal flow characters such as mean sectional velocity and shear stresses at the plates have been examined. For large σ andK 2 the flow near the plates has a multiple boundary layer character.

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology, 721 302, Kharagpur

    D K Bhattacharya & R S Nanda

Authors
  1. D K Bhattacharya
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  2. R S Nanda
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Bhattacharya, D.K., Nanda, R.S. On pulsatile flow of a viscous fluid in a rotating channel. Proc. Indian Acad. Sci. (Math. Sci.) 88, 35–48 (1979). https://doi.org/10.1007/BF02898333

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  • DOI: https://doi.org/10.1007/BF02898333

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