Effect of Motile Gyrotactic Microorganisms on Arterial Stenosis Sisko Nanofluid Flow Through Porous Medium: A Numerical Study

Abstract

The present study is concerned with an incompressible nano-liquid movement obeying the non-Newtonian Sisko model (NSM). The flow occupies a cylindrical arterial tube with mild stenosis through permeable media, in accordance with the modified Darcy's law. The motile gyrotactic microorganisms are involved in the flow. The originality of the current work emerges from the need to realize the effects of fluctuating viruses and microbes in addition to nanoparticles through arterial stenosis. The buoyancy-driven flow (BA) is considered, where density is a function of heat and particles' concentration. Furthermore, the nanoparticles dispersal is illustrated along with an activated energy chemical reaction. The mathematical construction is implemented by a group of nonlinear partial differential equations (NPDEs) concerning momentum, energy, nanoparticles' volume fraction, and microorganism concentration. Appropriate time-varying tapered stenosis BCs are utilized to comprehend the present boundary-value problem (BVP). The RK-4 analysis, in conjunction with the shooting approach, is performed on the prior system. Subsequently, a significant graphical construction of the assessed data is designed to understand the controls of the generated physical features. Biological infections by harmful microbes represent reasons for blood thinner diseases. According to the current study, the presence of microorganisms improves the flow and increases its speed. Therefore, the rapidity of the flow can be controlled by regulating the characterized parameters of the microbe's divergence. Moreover, most of the heat-related parameters in this discussion are observed as raising features of heat fluctuation, which is a vital characteristic in diagnosing narrowing vessels therapy.