Effect of Hematocrit-Dependent Variable Viscosity on Magnetohydrodynamics Flow of Blood-Based Hybrid Nanofluid Through an Inclined Stenosed Artery

Abstract

This study delves into the effect of hematocrit-dependent viscosity on the MHD flow of blood-based hybrid nanofluid containing gold and copper nanoparticles. To accomplish this, the Caputo fractional derivative is utilized to transform transient terms in established governing equations after they have been properly normalized using appropriate dimensionless variables. Subsequently, the Laplace transform technique is employed to attain analytical solutions of these equations. Their inverse Laplace transforms are then sought numerically by employing the concentrated matrix exponential (CME) method, as the transformed equations contain modified Bessel functions whose solutions cannot be easily obtained using any known analytical inversion method. The outcomes of the impact of pertinent parameters on velocity, temperature, and concentration profiles are graphically scrutinized, and numerical results for the dimensionless parameters, such as skin friction, Nusselt, and Sherwood numbers, are tabulated. The study’s findings reveal the significant influence of the fractional-order parameter, the hematocrit parameter, and the inclination angle parameter on velocity, temperature, and concentration profiles, as well as on the dimensionless parameters. These findings hold relevance for the diagnosis and treatment of atherosclerosis and other cardiovascular-related diseases, as well as for targeted drug delivery in the human body’s arterial system.