The numerical study of the convective heat transfer between two horizontal eccentric cylinders

Abstract

Convective heat transfer in eccentric horizontal annuli situated between two cylinders with isothermal wall conditions are studied numerically using two-dimensional finite-difference and finite-volumes models. The annular space is filled by a Newtonian and incompressible fluid. The effects of various parameters such as the radius ratio of the annulus, the eccentricity of the annulus, the Grashof number are investigated at the Prandtl number of 0.701. By using the approximation of Boussinesq and the vorticity-stream function formulation, the flow is modeled by the differential equations with the derivative partial: the equations of continuity and the momentum are expressed in a frame of reference known as "bicylindrical", to facilitate the writing of the boundary conditions and to transform the curvilinear field into a rectangular one