Conveyor belt effect in the flow through a tube of a viscous fluid with spinning particles

The Journal of Chemical Physics
B U Felderhof

Abstract

The extended Navier-Stokes equations describing the steady-state hydrodynamics of a viscous fluid with spinning particles are solved for flow through a circular cylindrical tube. The flow caused by an applied torque density in the azimuthal direction and linear in the radial distance from the axis is compared with the flow caused by a uniform applied force density directed along the axis of the tube. In both cases the flow velocity is of Poiseuille type plus a correction. In the first case the flow velocity is caused by the conveyor belt effect of spinning particles. The corrections to the Poiseuille flow pattern in the two cases differ only by a proportionality factor. The spin velocity profiles in the two cases are also proportional.

References

Nov 9, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ingo O Götze, Gerhard Gompper
Dec 21, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·B U Felderhof
Dec 24, 2011·The Journal of Chemical Physics·B U Felderhof

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Citations

Oct 10, 2015·Physical Review Letters·Fernando Martinez-PedreroPietro Tierno
Mar 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·B U Felderhof

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