MICROORGANISMS' PERISTALTIC TRANSPORT WITHIN A CARREAU NANOFLUID THROUGH A MODIFIED DARCY POROUS MEDIUM

Abstract

The movement of microorganisms in addition to the magnetohydrodynamic (MHD) free convective peristaltic movement of a non-Newtonian nanofluid obeying the Carreau prototype is analyzed in the current study. In a vertical tube, the flow moves through a porous media that fulfills the modified Darcy law. Under heat dissipation and chemical reaction properties, the temperature distribution and volume concentration are reflected. The innovation of this study stems from the involvement of the microorganisms with velocity, temperature, and nanoparticle distributions to distinguish the benefits or damages that nanoparticles and microorganisms like viruses, bacteria, and microbes cause in the flow across peristaltic tubes. It is supposed that this model has a valuable applicable role in some medical aspects and the infected flows by microbes in the human body, including blood flow through blood arteries and movement through the digestive system. By utilizing the conventions of the long wavelength (LWL) and low Reynolds number (LRN) approximations, the governing nonlinear partial differential equations (PDEs) are transformed into a group of nonlinear ordinary differential equations (ODEs). The structure of the analytical solutions of equations is analyzed by applying the homotopy perturbation method (HPM). The performance of the axial speed, heat, microbe, and nanoparticle distributions under the influence of several characteristics associated with these profiles is described systematically, visually, and tabularly. Important findings from the study may aid understanding of the processes of various complex biological fluxes in many medical applications. It has been established that all the important parameters improve the spread of microorganisms. This indicates that as all these parameters increase, some dangerous infections and bacteria are eliminated from numerous channels of the body. Furthermore, the improvement in flow velocity and heat transfer with the rise in the most effective parameters is thought to be a significant applicable finding.