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Oscillating flows of miscible fluids

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Abstract

A theoretical analysis is presented for the flows of two miscible, viscous, incompressible fluids, subject to oscillatory pressure gradients in a cylindrical tube. The extended, time-dependent Navier-Stokes equations with inter-component interaction for the fluids are reduced to ordinary, inhomogeneous differential equations of fourth order by separation and decoupling, and solved in closed form. As distinguished from the classical one-fluid Richardson flow, the dynamics of the two-component, oscillatory flow is determined by two eigenvalues which are complex. Since the coupling force between the fluids increases with their velocity difference, deviations from the one-fluid Richardson effect exist.

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Authors and Affiliations

  1. Dept. of Bioengineering, Univ. of Cape Town and Groote Schuur Hospital, Cape Town, South Africa

    H. E. Wilhelm & T. J. van der Werff

Authors
  1. H. E. Wilhelm
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  2. T. J. van der Werff
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On sabbatical leave from Department of Electrical Engineering, Colorado State University, U.S.A.

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Wilhelm, H.E., van der Werff, T.J. Oscillating flows of miscible fluids. Appl. Sci. Res. 33, 339–352 (1977). https://doi.org/10.1007/BF00383960

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  • DOI: https://doi.org/10.1007/BF00383960

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