Gold-blood nanofluid flow in cone-disk system for Tiwari and Das model in the presence of thermal radiation using lie group approach

The cone-disk system, featuring a cone in contact with a disk at its apex, is a versatile arrangement used in applications such as conical diffusers, viscosimeters and medical devices. Present research focus on the theoretical analysis of gold blood nanofluid flow in cone disk system for Tiwari and Das model in the presence of thermal radiation. The three dimensional axisymmetric gold blood nanofluid flow is analysed for four distinct models namely model I (rotating cone and static disk), model II (static cone and rotating disk), model III (co-rotating cone and disk) and model IV (counter rotating cone and disk). The governing non-linear equations are transformed to self similar equations by using one parameter Lie group approach and solved by using bvp5c package of MATLAB to examine the effect of different parameters involving in the problem. In order to validate the result, Nusselt number at cone and disk surfaces are compared with the published literature and the closed agreement authenticates the validation of the problem. The influence of various parameters on velocity and temperature profile of gold blood nanofluid has been discussed in detail for all four configurations of cone disk system for the gap angle pi 4\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\frac{\pi }{4}$$\end{document} and are shown graphically. The result of this analysis shows that there is a outward radial flow as a result of high centrifugal forces due to rotation of disk/cone. Also the velocity of nanofluid decrease with increasing the nanoparticle volume fraction. The results also reveal that an increase in the nanoparticle volume fraction, power exponent, and radiation parameter values leads to an increase in the temperature profile.