Numerical Study of Forced Convection Between Two Elliptical Cylinders with Variable ThermoPhysical Properties

Zerari Khalil; Haddad Zakaria

doi:10.37934/arfmts.100.2.96112

Authors

Zerari Khalil Department of Technical sciences, Institute of Science and Technology, Abdel Hafid Boussouf University, Mila, Algeria
Haddad Zakaria Department of Physics (Laboratory LPCM), Faculty of Sciences, Mohamed Boudiaf University, M’sila, Algeria

DOI:

https://doi.org/10.37934/arfmts.100.2.96112

Keywords:

thermophysical properties, elliptical cylinders, finite volume, Fortran, Nusselt number, Forced convection

Abstract

This study presents a numerical simulation of the three dimensional laminar forced convection between two elliptical horizontal cylinders with variable thermophysical properties using a program generated in FORTRAN language. The inner cylinder is uniformly heated whereas the outer cylinder is adiabatic. The flow and thermal fields are modeled by the continuity, momentum and energy equations with appropriate initial and boundary conditions using an elliptical coordinate system. The model equations are numerically solved by a finite volume numerical method with second order accurate spatiotemporal discretization. The variations of axial velocity, temperature and Nusselt number have been studied in three cases of forced convection, which are 100, 200 and 300 of Reynolds values. The results obtained show that the change in flow regime with increasing Reynolds number value has a significant effect on the value of Nusselt number, rather the heat exchange coefficient. Where Re=300 gives the best heat exchange.