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Unsteady flow of a viscoelastic Maxwell fluid in a channel bounded by two concentric circular arcs under a radial magnetic field

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Summary

A qualitative approach has been made in this paper to investigate the flow behaviour of a viscoelastic Maxwell fluid in a channel bounded by two concentric circular arcs. The flow condition is studied for the particular case when an external radial magnetic field is imposed on the fluid motion. The inhomogeneous Bessel differential equation is shown for the determination of velocity of flow and has been solved in terms of the Bessel and Lommel functions. The results obtained suggest that both the elasticity of the fluid and the influence of magnetic field damp the motion. Asymptotic solutions are also supplied for large values of parameters.

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References

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Authors and Affiliations

  1. Department of Mathematics, Jadavpur University, Calcutta-32, India

    Arun Kumar Ghosh

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  1. Arun Kumar Ghosh
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Ghosh, A.K. Unsteady flow of a viscoelastic Maxwell fluid in a channel bounded by two concentric circular arcs under a radial magnetic field. PAGEOPH 112, 162–171 (1974). https://doi.org/10.1007/BF00875931

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  • DOI: https://doi.org/10.1007/BF00875931

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