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 (θ) using R-K 6th order with shooting method subject to the boundary conditions. The profiles of w, θ 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.