Particle Spacing and Chemical Reaction Effects on Convective Heat Transfer through a Nano-Fluid in Cylindrical Annulus

Particle size plays vital role in determination of heat transfer through a nano-fluid. But the chemical reaction of copper metal particle with water certainly alters the expected heat transfer rate. So the size of the nano-particle in its flow can be described by Newton's law. All the assumptions lead to a system of coupled non-linear governing partial differential equations. These equations are solved for velocity (w) and temperature (theta) using R-K 6th order with shooting method subject to the boundary conditions. The profiles of w, theta and the heat transfer rate (Nu) for various parameters are displayed. The inter particle spacing enhances the heat transfer rate due to the Brownian motion of the particles. (C) 2015 The Authors. Published by Elsevier Ltd.