Abstract
The time-periodic electromagnetohydrodynamic (EMHD) flow in circular microtubes is studied by considering slip boundary conditions. An oscillating electric field and a constant magnetic field orthogonal to each other are applied externally to drive the fluid flow. The slip length considered here depends on the surface charge of the channel, which is generally a more realistic situation as demonstrated by recent experimental work. The velocity is obtained by using the characteristics of the Bessel equation. The influences of surface charge density σs and electrical oscillating Reynolds number Re on velocity and flow rate are discussed in detail. Our results demonstrate the EMHD slip flow rate can be reduced by up to 8.5% at low Reynolds number (Re=1) by considering the surface charge effect on slip, but enhanced by up to 8% at high Reynolds number (Re=50). These theoretical results can provide some theoretical basis for experimental studies.
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