Natural convection in a triangular cavity filled with a micropolar fluid

Mikhail Sheremet, Teodor Grosan, Ioan Pop

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

Purpose - The purpose of this paper is to study steady natural convection flow and heat transfer in a triangular cavity filled with a micropolar fluid. Design/methodology/approach - It is assumed that the left inclined wall is heated, whereas the other walls are cooled and maintained at constant temperatures. All four walls of the cavity are assumed to be rigid and impermeable. The micropolar fluid is considered to satisfy the Boussinesq approximation. The governing equations and boundary conditions are solved using the finite difference method of the second order accuracy over a wide range of the Rayleigh number, Prandtl number, vortex viscosity parameter and two values of micro-gyration parameter, namely, strong concentration (n = 0) and week concentration (n = 0.5). Findings - The results are presented in the form of streamlines, isotherms, vorticity contours and variations of average Nusselt number and fluid flow rate depending on the Rayleigh number, Prandtl number, vortex viscosity parameter and micro-gyration parameter. The flow field and temperature distribution in the cavity are affected by these parameters. The heat transfer rate into the cavity is decreasing upon the raise of the vortex viscosity parameter. Originality/value - This work studies the effects of vortex viscosity parameter and micro-gyration parameter in a triangular cavity filled with a micropolar fluid on the fluid flow and heat transfer. This study might be useful to flows of biological fluids in thin vessels, polymeric suspensions, liquid crystals, slurries, colloidal suspensions, exotic lubricants; for the design of solar collectors, room ventilation systems and electronic cooling systems; and so on.

Original languageEnglish
Pages (from-to)504-515
Number of pages12
JournalInternational Journal of Numerical Methods for Heat and Fluid Flow
Volume27
Issue number2
DOIs
Publication statusPublished - 2017

Fingerprint

Micropolar Fluid
Natural Convection
Natural convection
Triangular
Cavity
Vortex flow
Viscosity
Fluids
Prandtl number
Heat transfer
Flow of fluids
Vortex
Electronic cooling
Heat Transfer
Solar collectors
Rayleigh number
Slurries
Nusselt number
Vorticity
Cooling systems

Keywords

  • Micropolar fluid
  • Natural convection
  • Triangular cavity

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications
  • Applied Mathematics

Cite this

Natural convection in a triangular cavity filled with a micropolar fluid. / Sheremet, Mikhail; Grosan, Teodor; Pop, Ioan.

In: International Journal of Numerical Methods for Heat and Fluid Flow, Vol. 27, No. 2, 2017, p. 504-515.

Research output: Contribution to journalArticle

@article{a4c4acf0976540159591206eb5c06dd5,
title = "Natural convection in a triangular cavity filled with a micropolar fluid",
abstract = "Purpose - The purpose of this paper is to study steady natural convection flow and heat transfer in a triangular cavity filled with a micropolar fluid. Design/methodology/approach - It is assumed that the left inclined wall is heated, whereas the other walls are cooled and maintained at constant temperatures. All four walls of the cavity are assumed to be rigid and impermeable. The micropolar fluid is considered to satisfy the Boussinesq approximation. The governing equations and boundary conditions are solved using the finite difference method of the second order accuracy over a wide range of the Rayleigh number, Prandtl number, vortex viscosity parameter and two values of micro-gyration parameter, namely, strong concentration (n = 0) and week concentration (n = 0.5). Findings - The results are presented in the form of streamlines, isotherms, vorticity contours and variations of average Nusselt number and fluid flow rate depending on the Rayleigh number, Prandtl number, vortex viscosity parameter and micro-gyration parameter. The flow field and temperature distribution in the cavity are affected by these parameters. The heat transfer rate into the cavity is decreasing upon the raise of the vortex viscosity parameter. Originality/value - This work studies the effects of vortex viscosity parameter and micro-gyration parameter in a triangular cavity filled with a micropolar fluid on the fluid flow and heat transfer. This study might be useful to flows of biological fluids in thin vessels, polymeric suspensions, liquid crystals, slurries, colloidal suspensions, exotic lubricants; for the design of solar collectors, room ventilation systems and electronic cooling systems; and so on.",
keywords = "Micropolar fluid, Natural convection, Triangular cavity",
author = "Mikhail Sheremet and Teodor Grosan and Ioan Pop",
year = "2017",
doi = "10.1108/HFF-02-2016-0061",
language = "English",
volume = "27",
pages = "504--515",
journal = "International Journal of Numerical Methods for Heat and Fluid Flow",
issn = "0961-5539",
publisher = "Emerald Group Publishing Ltd.",
number = "2",

}

TY - JOUR

T1 - Natural convection in a triangular cavity filled with a micropolar fluid

AU - Sheremet, Mikhail

AU - Grosan, Teodor

AU - Pop, Ioan

PY - 2017

Y1 - 2017

N2 - Purpose - The purpose of this paper is to study steady natural convection flow and heat transfer in a triangular cavity filled with a micropolar fluid. Design/methodology/approach - It is assumed that the left inclined wall is heated, whereas the other walls are cooled and maintained at constant temperatures. All four walls of the cavity are assumed to be rigid and impermeable. The micropolar fluid is considered to satisfy the Boussinesq approximation. The governing equations and boundary conditions are solved using the finite difference method of the second order accuracy over a wide range of the Rayleigh number, Prandtl number, vortex viscosity parameter and two values of micro-gyration parameter, namely, strong concentration (n = 0) and week concentration (n = 0.5). Findings - The results are presented in the form of streamlines, isotherms, vorticity contours and variations of average Nusselt number and fluid flow rate depending on the Rayleigh number, Prandtl number, vortex viscosity parameter and micro-gyration parameter. The flow field and temperature distribution in the cavity are affected by these parameters. The heat transfer rate into the cavity is decreasing upon the raise of the vortex viscosity parameter. Originality/value - This work studies the effects of vortex viscosity parameter and micro-gyration parameter in a triangular cavity filled with a micropolar fluid on the fluid flow and heat transfer. This study might be useful to flows of biological fluids in thin vessels, polymeric suspensions, liquid crystals, slurries, colloidal suspensions, exotic lubricants; for the design of solar collectors, room ventilation systems and electronic cooling systems; and so on.

AB - Purpose - The purpose of this paper is to study steady natural convection flow and heat transfer in a triangular cavity filled with a micropolar fluid. Design/methodology/approach - It is assumed that the left inclined wall is heated, whereas the other walls are cooled and maintained at constant temperatures. All four walls of the cavity are assumed to be rigid and impermeable. The micropolar fluid is considered to satisfy the Boussinesq approximation. The governing equations and boundary conditions are solved using the finite difference method of the second order accuracy over a wide range of the Rayleigh number, Prandtl number, vortex viscosity parameter and two values of micro-gyration parameter, namely, strong concentration (n = 0) and week concentration (n = 0.5). Findings - The results are presented in the form of streamlines, isotherms, vorticity contours and variations of average Nusselt number and fluid flow rate depending on the Rayleigh number, Prandtl number, vortex viscosity parameter and micro-gyration parameter. The flow field and temperature distribution in the cavity are affected by these parameters. The heat transfer rate into the cavity is decreasing upon the raise of the vortex viscosity parameter. Originality/value - This work studies the effects of vortex viscosity parameter and micro-gyration parameter in a triangular cavity filled with a micropolar fluid on the fluid flow and heat transfer. This study might be useful to flows of biological fluids in thin vessels, polymeric suspensions, liquid crystals, slurries, colloidal suspensions, exotic lubricants; for the design of solar collectors, room ventilation systems and electronic cooling systems; and so on.

KW - Micropolar fluid

KW - Natural convection

KW - Triangular cavity

UR - http://www.scopus.com/inward/record.url?scp=85013026905&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85013026905&partnerID=8YFLogxK

U2 - 10.1108/HFF-02-2016-0061

DO - 10.1108/HFF-02-2016-0061

M3 - Article

VL - 27

SP - 504

EP - 515

JO - International Journal of Numerical Methods for Heat and Fluid Flow

JF - International Journal of Numerical Methods for Heat and Fluid Flow

SN - 0961-5539

IS - 2

ER -