Mathematical modeling of nanolayer on biological fluids flow through porous surfaces in the presence of CNT

Abstract

Because of their unique intrinsic physical and chemical properties, carbon nanotubes (CNT) are being used in biological and biomedical applications. The current study proposes a mathematical model to analyze the effect of interfacial nanolayers on heat and mass transfer processes for nanofluid flow. Furthermore, the presence of carbon nanotubes (CNT) in a biological fluid (non-Newtonian fluid) with a reaction effect is investigated using porous surfaces. The uniform transverse magnetic flux was also included in the current study. Using a similarity transformation, the nonlinear partial differential equation is reduced to a set of ordinary differential equations. A phase simulation based on Brownian and thermophoresis factors have been developed for this problem. Optimal nanoparticles in the range of 2–8% have a significant effect on thermal conductivity as well as the thermal performance of the blood flow system. The numerical procedure supported the shooting method, resulting in the desired accuracy. Utilization of the Cason parameter under the effect of nanolayer thermal conductivity has horrendous results. The increase in nanolayer thickness, h = 3–9 nm, enhanced the effective thermal conductivity and thermal performance significantly.

Keywords

• Heat and mass transfer
• Nanolayer
• CNT
• Biological fluids
• Porous surfaces