Abstract
The article investigates the influences of a variable thermal conductivity and wall slip on a peristaltic motion of Carreau nanofluid. The model is concerned with heat and mass transfer inside asymmetric channel. The blood is considered as the base Carreau non-Newtonian fluid and gold (Au) as nanoparticles stressed upon. The Fronchiener effect of the non-Darcian medium is taken in consideration. The system is stressed upon a strong magnetic field and the Hall currents are completed. The problem is modulated mathematically by a system of non-linear partial differential equations which describe the fluid velocity, temperature and concentration. The system is reformulated under the approximation of long wavelength and low Reynolds number. It is solved on using multi-step differential transform method (Ms-DTM) as a semi-analytical method. A gold nanoparticle has increased the temperature distribution which is of great importance in destroying the cancer cells.
Highlights
Cancer is a dangerous and deadly to most of its patients
Motivated by the above discussions, the aim of the present paper is to examine the MHD peristaltic flow of Carreau nanofluid accompanying heat and mass transfer in the presence of viscous dissipation
The solutions acquired by the multi-step differential transform method (Ms-differential transform method (DTM)) are displayed through the following numerical calculation
Summary
Cancer is a dangerous and deadly to most of its patients. Recent studies have shown that gold nanoparticles (GNP) can cure and overcome it because these particles have high atomic numbers which produce heat and leads to treatment of malignancy tumors. Eldabe and Abu Zeid [5] have studied a non-Darcian Couette flow through a porous medium of magnetohydrodynamic visco-elastic fluid with heat and mass transfer. They found the solutions of velocity, temperature and nanoparticles distribution by using the homotopy perturbation method. The effects of Nanofluid on peristaltic flow of a Carreau fluid model in an inclined magnetic field are proposed by Akram [9] He found the solutions of the simplified coupled nonlinear equations using an analytical approach.
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