Objective:
In this paper, we consider a model that describes the ciliary beating in the form of metachronal
waves along with the effects of Magnetohydrodynamic fluid over a curved channel with slip effects. This work aims at
evaluating the effect of Magnetohydrodynamic (MHD) on the steady two dimensional (2-D) mixed convection flow
induced in carbon nanotubes. The work is done for both the single wall nanotube and multiple wall nanotube. The right
wall and the left wall possess a metachronal wave that is travelling along the outer boundary of the channel.
Methods:
The wavelength is considered as very large for cilia induced MHD flow. The governing linear coupled
equations are simplified by considering the approximations of long wavelength and small Reynolds number. Exact
solutions are obtained for temperature and velocity profile. The analytical expressions for the pressure gradient and wall
shear stresses are obtained. Term for pressure rise is obtained by applying Numerical integration method.
Results:
Numerical results of velocity profile are mentioned in a table form, for various values of solid volume fraction,
curvature, Hartmann number [M] and Casson fluid parameter [ζ]. Final section of this paper is devoted to discussing the
graphical results of temperature, pressure gradient, pressure rise, shear stresses and stream functions.
Conclusion:
Velocity profile near the right wall of the channel decreases when we add nanoparticles into our base fluid,
whereas an opposite behaviour is depicted near the left wall due to ciliated tips whereas the temperature is an increasing
function of B and ߛ and decreasing function of ߶.
