The Brinkman model for the mixed convection boundary layer flow past a horizontal circular cylinder in a porous medium

Roslinda Mohd. Nazar, Norsarahaida Amin, Diana Filip, Ioan Pop

Research output: Contribution to journalArticle

33 Citations (Scopus)

Abstract

The Brinkman model is used for the theoretical study of the mixed convection boundary layer flow past a horizontal circular cylinder with a constant surface temperature and embedded in a fluid-saturated porous medium in a stream flowing vertically upwards. Both the cases of a heated (assisting flow) and a cooled (opposing flow) cylinder are considered. It is shown that there are two governing dimensionless parameters, which are related to thermal and viscous effects. These are the Darcy-Brinkman parameter Γ and the mixed convection parameter λ. It is shown that for Γ=0 the problem reduces to the similarity Darcy's model, while for Γ≠0 the governing equations are non-similar and they have been solved numerically using the Keller-box method. It is found that heating the cylinder (λ>0) delays separation of the boundary layer and can, if the cylinder is warm enough (large values of λ>0), suppress it completely. On the other hand, cooling the cylinder (λ<0) brings the boundary layer separation point nearer to the lower stagnation point and for sufficiently cold cylinder (large values of λ<0) there will not be a boundary layer on the cylinder. A complete physical description of the problem is presented throughout the analysis. Some results were given in the form of tables. Such tables are very important and they can serve as a reference against which other exact or approximate solutions can be compared in the future.

Original languageEnglish
Pages (from-to)3167-3178
Number of pages12
JournalInternational Journal of Heat and Mass Transfer
Volume46
Issue number17
DOIs
Publication statusPublished - Aug 2003
Externally publishedYes

Fingerprint

Mixed convection
boundary layer flow
Boundary layer flow
circular cylinders
Circular cylinders
Porous materials
Boundary layers
convection
boundary layers
Cooling
Heating
boundary layer separation
Fluids
stagnation point
surface temperature
temperature effects
boxes
cooling
Temperature
heating

Keywords

  • Consumption smoothing
  • Nutritional status
  • Shocks
  • Social capital
  • South Africa

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes
  • Energy(all)
  • Mechanical Engineering

Cite this

The Brinkman model for the mixed convection boundary layer flow past a horizontal circular cylinder in a porous medium. / Mohd. Nazar, Roslinda; Amin, Norsarahaida; Filip, Diana; Pop, Ioan.

In: International Journal of Heat and Mass Transfer, Vol. 46, No. 17, 08.2003, p. 3167-3178.

Research output: Contribution to journalArticle

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