Numerical treatment of blood nanofluid flow in micro-vessels considering inclined magnetic field, hall and radiation effects
摘要
This article primarily intended to investigate the peristalsis of an incompressible couple-stress nanofluid through a symmetric channel. The most important effects that are considered to model the fundamental equations include inclined magnetic field, Hall current, mixed convection, viscous dissipation, radiation effect etc. In this paper, the well-known Buongiorno model is adopted to thoroughly examine the thermophoresis and Brownian motion effects. To simplify the mathematical analysis, we assume extremely small Reynolds number and a long wavelength, thereby reducing the complexity of the system. The resulting mathematical system is handled via built-in numerical technique in Mathematica software. Plots provide a graphical representation of fluid flow characteristics, allowing researchers to examine the effects of various parameters and visualize relationships between variables. The Hall current, generated by blood flow through arteries under an inclined magnetic field, has significant implications for cardiovascular research. By adjusting the magnetic field angle, scientists can regulate blood flow, potentially benefiting conditions like hypertension and vascular stenosis. Moreover, the buoyancy force effects are added to determine the flow pattern in free convection. It is resulted that an increase in thermal buoyancy enhances the blood flow rate. Both