Tribological analysis of rabinowitsch fluid in peristaltic flow with gold nanoparticle suspension

The current study focuses on convective heat and mass transfer of fluid-particle suspension flow of Rabinowitsch fluid in an inclined tube with ciliated walls. The objective of this theoretical study is to develop the mathematical model of the two-phase flow of Rabinowitsch fluid in peristaltic phenomena under the suspension of gold nanoparticles. The mathematical model for fluid and particle phases is constructed using partial differential equations of continuity, motion, energy, and mass concentration. The lubrication approach is used to simplify the equation and solve it by using MATHEMATICA 13.0 by using convective boundary conditions. The results for fluid, particle velocities, temperature, mass concentration, pressure gradient, and pressure rise are presented. From the computational data, it is noted that the Froude number and cilia tip parameter slow down the velocity of all fluids, and greater values of velocity are predicted at the core region of the tube for the case of Newtonian and Pseudoplastic fluids. The concentration profiles of Newtonian and Pseudoplastic fluids are diminishing versus Schmidt and Soret numbers. It is also observed that the particle phase velocity is 4 % greater than the fluid phase in the case of Pseudoplastic fluid. The present work can be used in the medical field to cure goiter glands, remove allergens from our nostrils with the help of cilia, and in the identification of damaged human body organs.