Non-Darcy effect on boundary layer flow of TiO2-water/kerosene nanofluid over an extensible sheet

摘要

An analytical and numerical enquiry has been executed to measure up to the numerical data and graphical figures of two different types of nanofluid boundary layer flow in a non-Darcy porous medium with TiO2 nanoparticles in the fluid. The current surface is continuously protracted under a fixed law and the base liquids are water and kerosene. A mathematical model of the stream has been developed and after renovating the non-linear partial differential equations into a system of ODE, it has been solved both analytically by Differential Transformation Method (DTM) in cooperation with Pade Approximant and numerically by Runge-Kutta 4th order shooting technique. The aggregate of the relations between various flow parameters with the skin friction and the heat transfer rate of two different fluids have been gauged by correlation coefficients and the impact of the relation has been verified using Fisher's t-Test. One of the most interesting verdicts of the progress survey is that the rate of heat transfer rate in the TiO2-kerosene nanofluid is almost 83-88% higher than that of TiO2-water nanofluid. Also the relation between various pertinent parameters with the Nusselt number and the skin friction coefficient are highly significant and they can be regulated according to our requirement by controlling these parameters of the flow.