Numerical simulation of bio-magnetic nanofluid flow in the human circulatory system

Abstract

The investigation of the rheological properties of bio-magnetic nanofluid in the human circulatory system has attracted the attention of biomedical engineers, medical professionals and researchers in recent days to explore the potential of utilizing magnetic field in the diagnosis of cancer cells, thrombosis and cardiovascular diseases. The Eyring-Powell fluid model was employed in this investigation because it accurately captures the non-Newtonian features of blood owing to its shear thinning and stress relaxation qualities. The present study illustrates the importance of the induced magnetic field on Eyring-Powell nanofluid flow across three distinct geometries (stagnation point, plate, and wedge) with the presence of gyrotactic microorganisms. The investigation of different geometries provides essential information regarding their practical applications, such as the development of targeted therapies for localized drug delivery, the dissolution of blood clots to promote clot breakdown, the enhancement of drug delivery to specific regions, the prevention of biofilm formation on vessel walls, the promotion of improved blood flow, and the reduction of plaque for arterial health. The conversion of fluid transport equations into ordinary differential equations has been achieved through the utilization of appropriate self-similarity variables. The resulting equations have been solved with the use of the Runge-Kutta-Fehlberg (RKF) approach. The characteristics of numerous dimensionless parameters such as magnetic Prandtl number ( M mp = 0.5 , 1.0 , 1.5 ) , magnetic parameter ( β mp = 0.2 , 0.4 , 0.6 ) , fluid parameters ( ε , δ = 0.0 , 0.5 , 1.0 ) , chemical reaction parameter ( Kr = 0.0 , 0.5 , 1.0 ) , Eckert number ( Ec = 1.0 , 2.0 , 3.2 ) , Thermophoresis ( N T = 0.3 , 0.6 , 0.9 ) , Brownian motion ( N B = 0.3 , 0.6 , 0.9 ) , Biot number ( Bi = 0.5 , 1.0 , 1.5 ) , bioconvective constant ( σ 1 = 0.0 , 1.0 , 2.0 ) , bioconvective Schmidt number ( Sb = 0.1 , 0.3 , 0.5 ) , Peclet number ( Pe = 0.1 , 0.3 , 0.5 ) , temperature ratio ( θ w = 1.0 , 2.0 , 3.0 ) , Radiation ( Rd = 0.0 , 1.0 , 1.5 ) , Schmidt number ( Sc = 1.0 , 2.0 , 3.0 ) , and non-dimensional activation energy ( E = 0.0 , 0.5 , 1.0 ) are analyzed. The magnetic Prandtl number and the magnetic parameter both show a decrease with an increase in the induced magnetic field. The magnitude of concentration increases with the elevation of both the Bio convective constant and the Peclet number. The skin friction coefficient is increased to the higher values of the fluid parameter in all three geometries. Nusselt number and Sherwood number both increase to the higher values of the thermophoresis parameter across the plate, wedge, and stagnation point. The Peclet and bioconvective numbers increase the concentration of motile organisms across the plate, wedge, and stagnation point geometries.