Free convection in a trapezoidal cavity filled with a micropolar fluid

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

Research output: Contribution to journalArticle

33 Citations (Scopus)

Abstract

The present investigation deals with the study of steady laminar natural convective flow and heat transfer of micropolar fluids in a trapezoidal cavity. The bottom wall of the cavity is kept at high constant temperature, the inclined walls is kept at low constant temperatures while the top horizontal wall is adiabatic. Governing equations formulated in dimensionless stream function and vorticity variables has been solved by finite difference method of the second order accuracy. Comprehensive verification of the utilized numerical method and mathematical model has shown a good agreement with numerical data of other authors. Computations have been carried out to analyze the effects of Rayleigh number, Prandtl number and vortex viscosity parameter both for weak and strong concentration cases. Obtained results have been presented in the form of streamlines, isotherms and vorticity profiles as well as the variation of the average Nusselt number and fluid flow rate. It has been shown that an increase in the vortex viscosity parameter leads to attenuation of the convective flow and heat transfer inside the cavity.

Original languageEnglish
Pages (from-to)831-838
Number of pages8
JournalInternational Journal of Heat and Mass Transfer
Volume99
DOIs
Publication statusPublished - 1 Aug 2016

Fingerprint

micropolar fluids
Vorticity
Natural convection
free convection
Vortex flow
convective flow
Viscosity
Heat transfer
vorticity
cavities
Fluids
Prandtl number
Nusselt number
heat transfer
Finite difference method
vortices
viscosity
Isotherms
Flow of fluids
Numerical methods

Keywords

  • Free convection
  • Micropolar fluid
  • Numerical results
  • Trapezoidal cavity

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

Cite this

Free convection in a trapezoidal cavity filled with a micropolar fluid. / Gibanov, Nikita S.; Sheremet, Mikhail A.; Pop, Ioan.

In: International Journal of Heat and Mass Transfer, Vol. 99, 01.08.2016, p. 831-838.

Research output: Contribution to journalArticle

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N2 - The present investigation deals with the study of steady laminar natural convective flow and heat transfer of micropolar fluids in a trapezoidal cavity. The bottom wall of the cavity is kept at high constant temperature, the inclined walls is kept at low constant temperatures while the top horizontal wall is adiabatic. Governing equations formulated in dimensionless stream function and vorticity variables has been solved by finite difference method of the second order accuracy. Comprehensive verification of the utilized numerical method and mathematical model has shown a good agreement with numerical data of other authors. Computations have been carried out to analyze the effects of Rayleigh number, Prandtl number and vortex viscosity parameter both for weak and strong concentration cases. Obtained results have been presented in the form of streamlines, isotherms and vorticity profiles as well as the variation of the average Nusselt number and fluid flow rate. It has been shown that an increase in the vortex viscosity parameter leads to attenuation of the convective flow and heat transfer inside the cavity.

AB - The present investigation deals with the study of steady laminar natural convective flow and heat transfer of micropolar fluids in a trapezoidal cavity. The bottom wall of the cavity is kept at high constant temperature, the inclined walls is kept at low constant temperatures while the top horizontal wall is adiabatic. Governing equations formulated in dimensionless stream function and vorticity variables has been solved by finite difference method of the second order accuracy. Comprehensive verification of the utilized numerical method and mathematical model has shown a good agreement with numerical data of other authors. Computations have been carried out to analyze the effects of Rayleigh number, Prandtl number and vortex viscosity parameter both for weak and strong concentration cases. Obtained results have been presented in the form of streamlines, isotherms and vorticity profiles as well as the variation of the average Nusselt number and fluid flow rate. It has been shown that an increase in the vortex viscosity parameter leads to attenuation of the convective flow and heat transfer inside the cavity.

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