Modelling study on heated couple stress fluid peristaltically conveying gold nanoparticles through coaxial tubes: A remedy for gland tumors and arthritis

Abstract

This paper represents an innovative technique to cure some of the fatal diseases such as rheumatoid arthritis and tumors by injected nano-size gold particles (gold salt in the veins through a hotted slim tube. In the proposed model large atomic number enables gold particles in attaining further heat and conveys medicine to the effected organs and erodes malign tissues or cells. The couple stress fluid is treated as blood inside the two coaxial tubes containing nanoparticles. The inner tube is considered to be rigid in configuration while the outer is elastic or flexible to eventuate a sinusoidal wave once the fluid passes within the gap of tubes. A set of nonlinear and coupled mathematical equations governing the flow model has been converted into a system of ordinary differential equations using suitable transformations prior to seeking an analytical solutions. A comprehensive parametric study has also been made to make the presented analysis more realistic to ensure that the presented study adheres with the physical phenomenon. Effects of velocity, temperature and concentration of the particles are examined corresponding to variate physical parameters contributing in the flow. Besides, highlighting graphically, the impact of each sundry parameters has been explained in detail at the end. It is worth mentioning that the results for Newtonian fluid can be obtained from the reported results by taking couple stress parameter is zero.