Abstract:
This paper studies the Stokes flow of micro-polar fluids by peristaltic pumping
through the cylindrical tube under the effect of the slip boundary condition. The motion
of the wall is governed by the sinusoidal wave equation. The analytical and numerical
solutions for the axial velocity, the micro-polar vector, the stream function, the pressure
gradient, the friction force, and the mechanical efficiency are obtained by using the lubrication
theory under the low Reynolds number and long wavelength approximations.
The impacts of the emerging parameters, such as the coupling number, the micro-polar
parameter, the slip parameter on pumping characteristics, the friction force, the velocity
profile, the mechanical efficiency, and the trapping phenomenon are depicted graphically.
The numerical results infer that large pressure is required for peristaltic pumping when
the coupling number is large, while opposite behaviors are found for the micro-polar parameter
and the slip parameter. The size of the trapped bolus reduces with the increase
in the coupling number and the micro-polar parameter, whereas it blows up with the
increase in the slip parameter.
