Numerical solution of double-diffusive natural convection in a porous cavity partially heated from belowand partially salted from the side

A. A. Altawallbeh, N. H. Saeid, Ishak Hashim

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

Double-diffusive natural convection in a square porous enclosure is studied numerically when the bottom and right walls are partially heated and partially salted, respectively. The top wall is maintained at a constant cold temperature and the left wall is fully salted at a lower concentration than the right. The Darcy model is used in the mathematical formulation. The finite volume method is used to solve the governing equations. The governing parameters of the present study are Rayleigh number (Ra), Lewis number (Le), buoyancy ratio (N), heating segment length (lh), heating segment position (xh), concentration segment length (ls), and concentration segment position (ys). The results were discussed in the effect of these parameters on streamlines, isotherms, isoconcentration lines, and the heat- and mass-transfer processes, and presented graphically. Generally, there is a direct relation between buoyancy ratio and heat- and masstransfer processes. The results show a significant effect of the heating and concentration segment's length and position on the heat- and mass-transfer processes. The minimum value of average Nusselt number occurs with N = 0 for all the positions of the heating segment except the positions xh = 0.1 and 0.9, where the minimum value occurs with N = 1 and ..1, respectively.

Original languageEnglish
Pages (from-to)903-919
Number of pages17
JournalJournal of Porous Media
Volume16
Issue number10
DOIs
Publication statusPublished - 2013

Fingerprint

Natural Convection
Natural convection
free convection
Cavity
Numerical Solution
Heating
cavities
Buoyancy
heating
Mass transfer
Heat and Mass Transfer
Heat transfer
buoyancy
mass transfer
Finite volume method
Nusselt number
Enclosures
heat transfer
Isotherms
Lewis numbers

Keywords

  • Double-diffusive
  • Numerical solution
  • Partially heated
  • Partially salted

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Materials Science(all)
  • Condensed Matter Physics
  • Modelling and Simulation
  • Biomedical Engineering

Cite this

Numerical solution of double-diffusive natural convection in a porous cavity partially heated from belowand partially salted from the side. / Altawallbeh, A. A.; Saeid, N. H.; Hashim, Ishak.

In: Journal of Porous Media, Vol. 16, No. 10, 2013, p. 903-919.

Research output: Contribution to journalArticle

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AB - Double-diffusive natural convection in a square porous enclosure is studied numerically when the bottom and right walls are partially heated and partially salted, respectively. The top wall is maintained at a constant cold temperature and the left wall is fully salted at a lower concentration than the right. The Darcy model is used in the mathematical formulation. The finite volume method is used to solve the governing equations. The governing parameters of the present study are Rayleigh number (Ra), Lewis number (Le), buoyancy ratio (N), heating segment length (lh), heating segment position (xh), concentration segment length (ls), and concentration segment position (ys). The results were discussed in the effect of these parameters on streamlines, isotherms, isoconcentration lines, and the heat- and mass-transfer processes, and presented graphically. Generally, there is a direct relation between buoyancy ratio and heat- and masstransfer processes. The results show a significant effect of the heating and concentration segment's length and position on the heat- and mass-transfer processes. The minimum value of average Nusselt number occurs with N = 0 for all the positions of the heating segment except the positions xh = 0.1 and 0.9, where the minimum value occurs with N = 1 and ..1, respectively.

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