Journal Article

A couple stress of peristaltic motion of Sutterby micropolar nanofluid inside a symmetric channel with a strong magnetic field and Hall currents effect

Moatimid, Galal M., Mohamed, Yasmeen M., El-Dabe, Nabil T. M., Mohamed, Mona A. A.

2021

Overview

The current study investigates the peristaltic transport of an incompressible micropolar non—Newtonian nanofluid following the Sutterby model. The heat and mass transfer inside the two-dimensional symmetric vertical channel is considered. The system is affected by a strong magnetic field together with thermal radiation, couple stress, chemical reaction, Joule heating, heat generation, Dufour, Soret and Hall current effects. The governing equations of motion are analytically solved by utilizing the long wavelength and low Reynolds number approximations. Furthermore, the resulted boundary—value problem is solved by means of the Homotopy perturbation method (HPM). An illustration of the influence of the various physical parameters in the foreign distributions; such as Hall currents, magnetic field, Sutterby, couple stress, Brownian motion, thermophoresis and slip parameters is obtained throughout a set of graphs and tables. It is observed that the axial velocity enhances with the increase in the Sutterby parameter. Furthermore, the temperature decreases with the larger values of a heat transfer Biot number. While, the concentration enlarges with the increase in the values of mass transfer Biot numbers. Moreover, the trapping phenomenon is discussed throughout a set of figures. This depicts the variation of the streamlines under the impact of couple stress, amplitude ratio, and magnetic field parameters. It is noticed that the size of the trapped bolus increases with the increase in the foregoing three parameters.

• Publisher: Springer Berlin Heidelberg,Springer Nature B.V
• Subject: Biot number / Boundary conditions / Boundary value problems / Brownian motion / Chemical reactions / Classical Mechanics / Computational fluid dynamics / Engineering / Equations of motion / Fluid flow / Heat / Heat generation / Heat transfer / Magnetic fields / Mass transfer / Nanofluids / Nanoparticles / Non-Newtonian fluids / Ohmic dissipation / Original / Parameters / Perturbation methods / Physical properties / Physiology / Radiation / Resistance heating / Reynolds number / Theoretical and Applied Mechanics / Thermal radiation / Thermophoresis / Two dimensional models / Velocity