Study Of Nanoparticle Dispersion In Capillaries Using Power Law Nanofluid Model

Abstract

This paper investigates the aspects of dispersion of nanoparticles in blood capillaries linked to nanodrug delivery systems. Nanoparticles are injected intravenously in blood capillaries and the resultant fluid has been identified as nanofluid. The viscosity of nanofluid is modelled using the nanoparticle size dependent viscosity relation. The properties of blood are studied using power law fluid, owing to their physically close simulations. The dispersion model framed here has been solved applying the method used by Sankarsubramanian and Gill for deriving exchange coefficients. The study conducted gives an insight into temperature, velocity and three transport coefficients of nanoparticles dispersed in blood with respect to various parameters like heat source parameter, volume fraction, power law index, size of nanoparticles, Grashof number, Darcy number and slip parameter for small values of wall absorption parameter under steady state conditions. MATLAB software has been used to plot the graphs. The outcomes reveal that physical properties of nanoparticles like size chiefly govern their dispersion. Convergence analysis is also stated for the inhomogeneous Bessel differential equation obtained while solving the problem. The developed mathematical model has useful applications to understand the dispersion of nanodrugs in the treatment of cardio vascular diseases.