Natural convection of micropolar fluid in a wavy differentially heated cavity

Nikita S. Gibanov, Mikhail A. Sheremet, Ioan Pop

Research output: Contribution to journalArticle

31 Citations (Scopus)

Abstract

An analysis of natural convective flowand heat transfer of a micropolar fluid in awavy differentially heated cavity has been performed. Governing partial differential equations formulated in non-dimensional variables have been solved by finite difference method of second order accuracy. The effects of Rayleigh number (Ra=104, 105, 106), Prandtl number (Pr=0.1, 0.7, 7.0), vortex viscosity parameter (K=0, 0.1, 0.5, 2.0) and undulation number (κ= 1, 2, 3) on flowpatterns, temperature fields and average Nusselt number at hotwavywall have been studied. It is found that microrotation increases as the vortex viscosity parameter K increases. However, the fluid velocity decreases as K increases. It is observed that the form of streamlines is dependent on the value of vortex viscosity parameter. An increase in the undulation number leads to a decrease in the heat transfer rate at wavy wall.

Original languageEnglish
Pages (from-to)518-525
Number of pages8
JournalJournal of Molecular Liquids
Volume221
DOIs
Publication statusPublished - 1 Sep 2016

Fingerprint

micropolar fluids
Natural convection
free convection
Vortex flow
vortices
Viscosity
viscosity
cavities
Fluids
Heat transfer
convective heat transfer
Prandtl number
Rayleigh number
Nusselt number
Finite difference method
partial differential equations
Partial differential equations
Temperature distribution
temperature distribution
heat transfer

Keywords

  • Micropolar fluid
  • Natural convection
  • Numerical results
  • Wavy cavity

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Condensed Matter Physics
  • Spectroscopy
  • Physical and Theoretical Chemistry
  • Materials Chemistry

Cite this

Natural convection of micropolar fluid in a wavy differentially heated cavity. / Gibanov, Nikita S.; Sheremet, Mikhail A.; Pop, Ioan.

In: Journal of Molecular Liquids, Vol. 221, 01.09.2016, p. 518-525.

Research output: Contribution to journalArticle

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AB - An analysis of natural convective flowand heat transfer of a micropolar fluid in awavy differentially heated cavity has been performed. Governing partial differential equations formulated in non-dimensional variables have been solved by finite difference method of second order accuracy. The effects of Rayleigh number (Ra=104, 105, 106), Prandtl number (Pr=0.1, 0.7, 7.0), vortex viscosity parameter (K=0, 0.1, 0.5, 2.0) and undulation number (κ= 1, 2, 3) on flowpatterns, temperature fields and average Nusselt number at hotwavywall have been studied. It is found that microrotation increases as the vortex viscosity parameter K increases. However, the fluid velocity decreases as K increases. It is observed that the form of streamlines is dependent on the value of vortex viscosity parameter. An increase in the undulation number leads to a decrease in the heat transfer rate at wavy wall.

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