Modelling Steady Mixed Convection Flow in a Vertical Micro-annulus with Internal Heat Generation and Temperature-Dependent Viscosity

Abstract

This paper presents an analytical solution for describing steady mixed convection flow and heat transfer in a vertical micro-annulus with internal heat generation and temperature-dependent viscosity. The model was formulated taking into consideration the viscous energy dissipation. The outer wall of the annulus is assumed to be impermeable. The governing equations formulated based on the conservation of momentum and energy were solved analytically using the polynomial approximation method. The results obtained are presented graphically and discussed. The results revealed the effects of operating parameters on the flow and heat transfer in an annulus. These results might be used for interpretation or experiments planning of the more complex flow and heat transfer processes.