Pulsatile Flow of Nano uids Between Concentric Cylinders

Abstract

It is perceived that the addition of nanoparticles has increased the heat transfer ca- pabilities of ordinary uids signi cantly for both turbulent and laminar ow regimes. This dissertation analyzes the e ects of two di erent types carbon nanotubes (CNTs) on ow and heat transfer characteristics of viscous uid between two concentric cylin- ders in the presence of thermal radiation e ects. The ow of MHD viscous uid in a Darcy type porous medium is driven by the pressure gradient, assumed as a periodic function of time. The uid is taken as optically thick and radiations can travel only a short distance within the uid. The magnetic eld is applied perpendicular to the direction of ow and the induced magnetic eld is considered negligible. The conven- tional governing equations are based upon partial di erential equations a ected by the viscosity of the base uid, e ective thermal conductivity, and thermophysical charac- teristics of CNTs nanoparticles. The exact solutions are obtained in the form of the modi ed Bessel functions of the rst and second kind. The e ect of the ow control parameters like thermal radiation parameter Nr, nanoparticles volume fraction , and Darcy number Da are illustrated through graphs. Based on a comprehensive analysis, it is concluded that the addition of single-walled carbon nanotubes (SWCNTs) pro- vides higher velocity and temperature distribution of nano uid when compared with the multi-walled carbon nanotubes (MWCNTs).