Natural convection in a horizontal cylindrical annulus filled with a porous medium saturated by a nanofluid using Tiwari and Das’ nanofluid model

M. A. Sheremet, Ioan Pop

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15 Citations (Scopus)

Abstract

This paper deals with a numerical study of natural convection flow and heat transfer inside a concentric horizontal annulus filled with a porous medium saturated by a cuprum (Cu)-water nanofluid. The inner and outer cylinders are kept at different constant temperatures. First, the governing partial differential equations in dimensional formulation in a polar coordinate system for the physical domain are transformed in dimensionless form in terms of stream function-temperature formulation. These equations along with the corresponding boundary conditions were solved numerically by the finite difference method. Particular efforts have been focused on the effects of the Rayleigh number, porosity of the porous medium, solid volume fraction parameter of nanoparticles, annulus radius ratio, and the solid matrix of the porous medium (glass balls and aluminum foam) on the local and average Nusselt numbers, streamlines and isotherms. It is found that a very good agreement exists between the present results and those from the open literature.

Original languageEnglish
Article number107
JournalEuropean Physical Journal Plus
Volume130
Issue number6
DOIs
Publication statusPublished - 8 Jun 2015

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annuli
free convection
formulations
polar coordinates
Rayleigh number
Nusselt number
foams
partial differential equations
balls
isotherms
heat transfer
boundary conditions
aluminum
porosity
nanoparticles
radii
temperature
glass
matrices
water

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

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