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Slip flow in converging and diverging channels

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Abstract

The classical problem of Jeffery-Hamel flow is considered in which the fluid is allowed to slip along the walls of the channel. The problem is solved analytically and the volumetric flow rate is computed and compared with that of the corresponding no-slip flow. In the converging channel case, it is found that the slip boundary condition enhances flow rates through the channel, although the effect is minimal when the Reynolds number is large.

In the case of the diverging channel, the slip boundary condition in some instances actually lowers the flow rate from its no-slip value. In other instances, a stable velocity profile does not even appear to exist. These cases aside, when the mean pressure in the channel is adverse, slip flow solutions exist and increase the flow rate through the channel by at most 15.7%.

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Authors and Affiliations

  1. Department of Mathematics & Statistics, Old Dominion University, 23529, Norfolk, VA, U.S.A.

    J. M. Dorrepaal

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  1. J. M. Dorrepaal
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Dorrepaal, J.M. Slip flow in converging and diverging channels. J Eng Math 27, 343–356 (1993). https://doi.org/10.1007/BF00128760

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  • DOI: https://doi.org/10.1007/BF00128760

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