Natural convection flow of a generalized second grade fluid between two vertical walls

Mehrdad Massoudi; Ashwin Vaidya; Rachmadian Wulandana

doi:10.1016/j.nonrwa.2006.09.003

Natural convection flow of a generalized second grade fluid between two vertical walls

Mehrdad Massoudi
, Ashwin Vaidya
, Rachmadian Wulandana

Mathematics

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Abstract

We study the flow due to natural convection of a non-Newtonian fluid, modeled as a generalized second grade fluid, between two vertical parallel walls. The flow results from the two walls being held at different temperatures. The viscosity of the fluid is taken to be a function of temperature according to Reynolds' exponential law. We solve for the dimensionless velocity and temperature profiles and study their dependence upon certain material parameters.

Original language	English
Pages (from-to)	80-93
Number of pages	14
Journal	Nonlinear Analysis: Real World Applications
Volume	9
Issue number	1
DOIs	https://doi.org/10.1016/j.nonrwa.2006.09.003
State	Published - Feb 2008

Keywords

Generalized second grade non-Newtonian fluid
Natural convection
Temperature and shear dependent viscosity

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10.1016/j.nonrwa.2006.09.003

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abstract = "We study the flow due to natural convection of a non-Newtonian fluid, modeled as a generalized second grade fluid, between two vertical parallel walls. The flow results from the two walls being held at different temperatures. The viscosity of the fluid is taken to be a function of temperature according to Reynolds' exponential law. We solve for the dimensionless velocity and temperature profiles and study their dependence upon certain material parameters.",

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AU - Vaidya, Ashwin

AU - Wulandana, Rachmadian

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N2 - We study the flow due to natural convection of a non-Newtonian fluid, modeled as a generalized second grade fluid, between two vertical parallel walls. The flow results from the two walls being held at different temperatures. The viscosity of the fluid is taken to be a function of temperature according to Reynolds' exponential law. We solve for the dimensionless velocity and temperature profiles and study their dependence upon certain material parameters.

AB - We study the flow due to natural convection of a non-Newtonian fluid, modeled as a generalized second grade fluid, between two vertical parallel walls. The flow results from the two walls being held at different temperatures. The viscosity of the fluid is taken to be a function of temperature according to Reynolds' exponential law. We solve for the dimensionless velocity and temperature profiles and study their dependence upon certain material parameters.

KW - Generalized second grade non-Newtonian fluid

KW - Natural convection

KW - Temperature and shear dependent viscosity

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DO - 10.1016/j.nonrwa.2006.09.003

M3 - Article

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SN - 1468-1218

VL - 9

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EP - 93

JO - Nonlinear Analysis: Real World Applications

JF - Nonlinear Analysis: Real World Applications

IS - 1

ER -

Natural convection flow of a generalized second grade fluid between two vertical walls

Abstract

Keywords

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