Natural convection of micropolar fluid in a wavy differentially heated cavity

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

Research output: Contribution to journalArticle

35 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

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

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