Transient free convective heat transfer in nanoliquid-saturated porous square cavity with a concentric solid insert and sinusoidal boundary condition

A. I. Alsabery, P. G. Siddheshwar, H. Saleh, Ishak Hashim

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

In this study, we use the finite-difference method to numerically investigate the problem of transient free convective heat transfer in a nanoliquid-saturated porous square cavity with a sinusoidal boundary condition. The left vertical wall of the cavity is maintained at a constant temperature and the right wall is heated sinusoidally. The horizontal insulated walls allow no heat transfer to the surrounding. To regulate the heat transfer, we insert a solid square at the centre of the cavity in such a way that there is symmetry in the flow configuration. We use the Darcy law along with the Boussinesq approximation for the flow, and for the investigation, we employ water-based nanoliquids with Cu, Al2O3 or TiO2 nanoparticles. We obtain the results of this study for various parameters such as Rayleigh number, periodicity parameter, nanoparticle volume fraction, thermal conductivity ratio, length of the inner solid, modified conductivity ratio, and dimensionless time. We explain the different influences on the parameter contours of streamlines, isotherms, local Nusselt number and weighted-average heat transfer in unsteady and steady regimes based on the thermal conductivities of nanoparticles, water and porous media. The results show that the overall heat transfer is significantly increased with the relatively non-uniform heating. Further, we show that convective heat transfer is inhibited by the presence of the solid insert. The results have the potential for application in heat-removal and heat-storage liquid-saturated porous systems.

Original languageEnglish
Pages (from-to)1006-1028
Number of pages23
JournalSuperlattices and Microstructures
Volume100
DOIs
Publication statusPublished - 1 Dec 2016

Fingerprint

Die casting inserts
convective heat transfer
inserts
heat transfer
Boundary conditions
boundary conditions
Heat transfer
cavities
nanoparticles
thermal conductivity
Nanoparticles
Boussinesq approximation
heat storage
Thermal conductivity
Rayleigh number
Nusselt number
water
periodic variations
isotherms
Heat storage

Keywords

  • Analytical solution
  • Conjugate
  • Nanoliquid
  • Porous cavity
  • Sinusoidal boundary condition
  • Thermal non-equilibrium
  • Transient free convection

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics
  • Electrical and Electronic Engineering

Cite this

Transient free convective heat transfer in nanoliquid-saturated porous square cavity with a concentric solid insert and sinusoidal boundary condition. / Alsabery, A. I.; Siddheshwar, P. G.; Saleh, H.; Hashim, Ishak.

In: Superlattices and Microstructures, Vol. 100, 01.12.2016, p. 1006-1028.

Research output: Contribution to journalArticle

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