Author(s)

N. T. Eldabe¹, G. M. Moatimid¹, A. A. El-Shekhipy², Naglaa F. Aballah¹

¹Department of Mathematics, Faculty of Education, Ain Shams University, Cairo, Egypt.
²Mathematics Department, Faculty of Science, Imam Abdulrahman Bin Faisal University, Al-Dammam, KSA.

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.

Gold Nanoparticles, Peristaltic Blood Flow, Carreau Nanofluid, Non-Darcy Porous Medium, Variable Thermal Conductivity, Multi-Step Differential Transform Method

Eldabe, N. , Moatimid, G. , El-Shekhipy, A. and Aballah, N. (2018) Peristaltic Blood Flow with Gold Nanoparticles on a Carreau Nanofluid through a Non-Darcian Porous Medium. Journal of Biomaterials and Nanobiotechnology, 9, 290-306. doi: 10.4236/jbnb.2018.94019.