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

Mikhail A. Sheremet, Ioan Pop, Anuar Ishak

The Butakov Research Center

Research output: Contribution to journal › Article

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

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Keywords

Micropolar fluid
Natural convection
Numerical results
Triangular wavy cavity

ASJC Scopus subject areas

Condensed Matter Physics
Mechanical Engineering
Fluid Flow and Transfer Processes

Cite this

Sheremet, M. A., Pop, I., & Ishak, A. (2017). Time-dependent natural convection of micropolar fluid in a wavy triangular cavity. International Journal of Heat and Mass Transfer, 105, 610-622. https://doi.org/10.1016/j.ijheatmasstransfer.2016.09.044

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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.

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Access to Document

10.1016/j.ijheatmasstransfer.2016.09.044