Time-dependent natural convection of micropolar fluid in a wavy triangular cavity

Abstract

Natural convection of micropolar fluid in a right-angled wavy triangular cavity has been analyzed numerically. Governing equations formulated in dimensionless stream function, vorticity and temperature using the Boussinesq and Eringen approaches with appropriate initial and boundary conditions have been solved by finite difference method of the second-order accuracy. The effects of the dimensionless time, Prandtl number, vortex viscosity parameter, and undulation number on streamlines, isotherms, vorticity isolines as well as average Nusselt number at wavy wall and fluid flow rate inside the cavity have been studied. Obtained results have revealed essential heat transfer reduction and fluid flow attenuation with vortex viscosity parameter.

Original language	English
Pages (from-to)	610-622
Number of pages	13
Journal	International Journal of Heat and Mass Transfer
Volume	105
DOIs	https://doi.org/10.1016/j.ijheatmasstransfer.2016.09.044
Publication status	Published - 1 Feb 2017

Keywords

Micropolar fluid
Natural convection
Numerical results
Triangular wavy cavity

ASJC Scopus subject areas

Condensed Matter Physics
Mechanical Engineering
Fluid Flow and Transfer Processes

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10.1016/j.ijheatmasstransfer.2016.09.044

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title = "Time-dependent natural convection of micropolar fluid in a wavy triangular cavity",

abstract = "Natural convection of micropolar fluid in a right-angled wavy triangular cavity has been analyzed numerically. Governing equations formulated in dimensionless stream function, vorticity and temperature using the Boussinesq and Eringen approaches with appropriate initial and boundary conditions have been solved by finite difference method of the second-order accuracy. The effects of the dimensionless time, Prandtl number, vortex viscosity parameter, and undulation number on streamlines, isotherms, vorticity isolines as well as average Nusselt number at wavy wall and fluid flow rate inside the cavity have been studied. Obtained results have revealed essential heat transfer reduction and fluid flow attenuation with vortex viscosity parameter.",

keywords = "Micropolar fluid, Natural convection, Numerical results, Triangular wavy cavity",

author = "Sheremet, {Mikhail A.} and Ioan Pop and Anuar Ishak",

year = "2017",

month = feb,

day = "1",

doi = "10.1016/j.ijheatmasstransfer.2016.09.044",

language = "English",

volume = "105",

pages = "610--622",

journal = "International Journal of Heat and Mass Transfer",

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TY - JOUR

T1 - Time-dependent natural convection of micropolar fluid in a wavy triangular cavity

AU - Sheremet, Mikhail A.

AU - Pop, Ioan

AU - Ishak, Anuar

PY - 2017/2/1

Y1 - 2017/2/1

N2 - Natural convection of micropolar fluid in a right-angled wavy triangular cavity has been analyzed numerically. Governing equations formulated in dimensionless stream function, vorticity and temperature using the Boussinesq and Eringen approaches with appropriate initial and boundary conditions have been solved by finite difference method of the second-order accuracy. The effects of the dimensionless time, Prandtl number, vortex viscosity parameter, and undulation number on streamlines, isotherms, vorticity isolines as well as average Nusselt number at wavy wall and fluid flow rate inside the cavity have been studied. Obtained results have revealed essential heat transfer reduction and fluid flow attenuation with vortex viscosity parameter.

AB - Natural convection of micropolar fluid in a right-angled wavy triangular cavity has been analyzed numerically. Governing equations formulated in dimensionless stream function, vorticity and temperature using the Boussinesq and Eringen approaches with appropriate initial and boundary conditions have been solved by finite difference method of the second-order accuracy. The effects of the dimensionless time, Prandtl number, vortex viscosity parameter, and undulation number on streamlines, isotherms, vorticity isolines as well as average Nusselt number at wavy wall and fluid flow rate inside the cavity have been studied. Obtained results have revealed essential heat transfer reduction and fluid flow attenuation with vortex viscosity parameter.

KW - Micropolar fluid

KW - Natural convection

KW - Numerical results

KW - Triangular wavy cavity

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