Natural convection in a trapezoidal cavity filled with a micropolar fluid under the effect of a local heat source

Igor V. Miroshnichenko, Mikhail A. Sheremet, Ioan Pop

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

This paper analyzes laminar natural convection of micropolar fluid in a trapezoidal cavity with a local heater. The bottom and top walls of the enclosure are adiabatic while the left vertical wall and part of the right inclined wall are kept at low and high constant tempratures, respectively. The rest part of the inclined wall is adiabatic. Governing equations formulated in dimensionless variables such as stream function, linear vorticity, angular vorticity and temperature have been solved by finite difference method of the second order accuracy. Computations have been carried out to analyze the effects of Rayleigh number, Prandtl number, vortex viscosity parameter and the heater location on streamlines, isotherms and vorticity profiles as well as the variation of the average Nusselt number and fluid flow rate. It has been shown that bottom position of the heater reflects the heat transfer enhancement.

Original languageEnglish
Pages (from-to)182-189
Number of pages8
JournalInternational Journal of Mechanical Sciences
Volume120
DOIs
Publication statusPublished - 1 Jan 2017

Fingerprint

micropolar fluids
heat sources
Vorticity
Natural convection
free convection
heaters
vorticity
cavities
Fluids
Prandtl number
Nusselt number
Enclosures
Finite difference method
Isotherms
Flow of fluids
Vortex flow
Rayleigh number
enclosure
Flow rate
Viscosity

Keywords

  • Local heater
  • Micropolar fluid
  • Natural convection
  • Numerical results
  • Trapezoidal cavity

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

Natural convection in a trapezoidal cavity filled with a micropolar fluid under the effect of a local heat source. / Miroshnichenko, Igor V.; Sheremet, Mikhail A.; Pop, Ioan.

In: International Journal of Mechanical Sciences, Vol. 120, 01.01.2017, p. 182-189.

Research output: Contribution to journalArticle

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AB - This paper analyzes laminar natural convection of micropolar fluid in a trapezoidal cavity with a local heater. The bottom and top walls of the enclosure are adiabatic while the left vertical wall and part of the right inclined wall are kept at low and high constant tempratures, respectively. The rest part of the inclined wall is adiabatic. Governing equations formulated in dimensionless variables such as stream function, linear vorticity, angular vorticity and temperature have been solved by finite difference method of the second order accuracy. Computations have been carried out to analyze the effects of Rayleigh number, Prandtl number, vortex viscosity parameter and the heater location on streamlines, isotherms and vorticity profiles as well as the variation of the average Nusselt number and fluid flow rate. It has been shown that bottom position of the heater reflects the heat transfer enhancement.

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