Abstract
In this paper, we study the impacts of variable viscosity , heat and mass transfer on magneto hydrodynamic (MHD) peristaltic flow in a asymmetric tapered inclined channel with porous medium . The viscosity is considered as a function of temperature. The slip conditions at the walls were taken into consideration. SmallReynolds number and the long wavelength approximations were used to simplify the governing equations. A comparison between the two velocities in cases of slip and no-slip was plotted. It was observed that the behavior of the velocity differed in the two applied models for some parameters. Mathematica software was used to estimate the exact solutions of temperature and concentration profiles. The resolution of the equations to the momentum was based on the perturbation method to find the axial velocity, pressure gradient and trapping phenomenon. The influences of the various flow parameters of the problem on these distributions were debated and proved graphically by figures.
Highlights
Nowadays, the peristaltic flow has gained much interest because of its influences in the field of industry and physiology
8- Results and Discussion This section is devoted to study the influences of different parameters on the axial velocity for both models, i.e., temperature distribution, concentration distribution, and pressure gradient
) cross-section in the cases of slip and no-slip conditions of the channel, which are compared based on differences in physical parameters such as Grashof number ( ), the non-uniform parameter ( ) the solute Grashof number ( ), Hartman number ( ) and mean flow rate ( ) via Figures -(1-5)
Summary
The peristaltic flow has gained much interest because of its influences in the field of industry and physiology. Iraqi Journal of Science, 2020, Vol 61, No 4, pp: 854-869 region constriction or extension over the length of a flexible channel. In this format, transmission of the fluid occurs in the trend of the wave propagation. Many others [1,2] This type of flow is extremely expedient in designing several biomedical apparatuses, e.g. the heart - lung device to preserve the blood circulation in dangerous surgeries [3]. This subject was first investigated by Shapiro et al and
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