Hydro-dynamically and thermally fully developed flow analysis of magneto-hydrodynamic fluid through annular duct

Abstract

A hydro-dynamic thermal fully developed forced convective heat transfer analysis of magneto-hydrodynamics fluid flow through an annular sector duct is presented in this paper. Two types of thermal boundary conditions i.e., axially uniform heat flux along with peripherally uniform temperature (known as H1-condition) and, axially and peripherally uniform temperature (known as T condition), have been considered to carry out the thermal analysis of fluid. The velocity components along r and [Formula: see text] direction are transformed into algebraic form by using power law discretized scheme, whereas cross-sectional pressure [Formula: see text] is estimated with the help of well know technique [Formula: see text]. The governing partial differential equations are solved by numerically with the help of [Formula: see text] code. Furthermore, simulated results have been compared with the existing results of literature to validate the results. From the results, it is noted that hydro-dynamically and thermally impacts relate directly by increasing the Hartman number, (M). It is further reported that the effect of magnetic field becomes insignificant for the higher number of fins, N. The findings of the present analysis will be applicable in various types of thermal systems.