Long Wavelength Approximation to Peristaltic Motion of Micropolar Fluid with Wall Effects

Peristaltic motion of an incompressible micropolar fluid in a two-dimensional channel with wall effects is studied.Assuming that the wave length of the peristaltic wave is large in comparison to the mean half width of the channel,a perturbation method of solution is obtained in terms of wall slope parameter,under dynamic boundary conditions.Closed form expressions are derived for the stream function and average velocity and the effects of pertinent parameters on these flow variables have been studied.It has been observed that the time average velocity increases numerically with micropolar parameter.Further,the time average velocity also increases with stiffness in the wall.

Peristaltic Flow of Dusty Nanofluids in Curved Channels

In this paper,numerical investigations for peristaltic motion of dusty nanofluids in a curved channel are performed.Two systems of partial differential equations are presented for the nanofluid and dusty phases and then the approximations of the long wave length and low Reynolds number are applied.The physical domain is transformed to a rectangular computational model using suitable grid transformations.The resulting systems are solved numerically using shooting method and mathematical forms for the pressure distributions are introduced.The controlling parameters in this study are the thermal buoyancy parameter G_(r),the concentration buoyancy parameter Gc,the amplitude ratio,the Eckert number Ec,the thermophoresis parameter N_(t) and the Brownian motion parameter Nb and the dusty parameters D_(s);α_(s).The obtained results revealed that an increase in the Eckert number enhances the temperature of the fluid and dusty particles while the nanoparticle volume fraction is reduced.Also,both of the temperature and nanoparticles volume fraction are supported by the growing of the Brownian motion parameter.