Steady Poiseuille flow and heat transfer of couple stress fluids between two parallel inclined plates with variable viscosity

M. Farooq; M. T. Rahim; S. Islam; A. M. Siddiqui

doi:10.1016/j.jaubas.2013.01.004

Steady Poiseuille flow and heat transfer of couple stress fluids between two parallel inclined plates with variable viscosity

M. Farooq, M. T. Rahim, S. Islam, A. M. Siddiqui

Penn State York

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

41 Scopus citations

Abstract

The purpose of this paper is to study the non-isothermal Poiseuille flow between two heated parallel inclined plates using incompressible couple stress fluids. Reynold's model is used for temperature dependent viscosity. We have developed highly non-linear coupled ordinary differential equations from momentum and energy equations. The Perturbation technique is used to obtain the approximate analytical expressions for velocity and temperature distributions. Expressions for velocity field, temperature distribution, dynamic pressure, volume flow rate, average velocity and shear stress on the plates are obtained. The influence of various emerging parameters on the flow problem is discussed and presented graphically.

Original language	English (US)
Pages (from-to)	9-18
Number of pages	10
Journal	Journal of the Association of Arab Universities for Basic and Applied Sciences
Volume	14
Issue number	1
DOIs	https://doi.org/10.1016/j.jaubas.2013.01.004
State	Published - Oct 2013

All Science Journal Classification (ASJC) codes

General Chemistry
General Mathematics
General Materials Science
General Biochemistry, Genetics and Molecular Biology
General Environmental Science
General Agricultural and Biological Sciences
General Energy

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10.1016/j.jaubas.2013.01.004

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abstract = "The purpose of this paper is to study the non-isothermal Poiseuille flow between two heated parallel inclined plates using incompressible couple stress fluids. Reynold's model is used for temperature dependent viscosity. We have developed highly non-linear coupled ordinary differential equations from momentum and energy equations. The Perturbation technique is used to obtain the approximate analytical expressions for velocity and temperature distributions. Expressions for velocity field, temperature distribution, dynamic pressure, volume flow rate, average velocity and shear stress on the plates are obtained. The influence of various emerging parameters on the flow problem is discussed and presented graphically.",

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AU - Farooq, M.

AU - Rahim, M. T.

AU - Islam, S.

AU - Siddiqui, A. M.

PY - 2013/10

Y1 - 2013/10

N2 - The purpose of this paper is to study the non-isothermal Poiseuille flow between two heated parallel inclined plates using incompressible couple stress fluids. Reynold's model is used for temperature dependent viscosity. We have developed highly non-linear coupled ordinary differential equations from momentum and energy equations. The Perturbation technique is used to obtain the approximate analytical expressions for velocity and temperature distributions. Expressions for velocity field, temperature distribution, dynamic pressure, volume flow rate, average velocity and shear stress on the plates are obtained. The influence of various emerging parameters on the flow problem is discussed and presented graphically.

AB - The purpose of this paper is to study the non-isothermal Poiseuille flow between two heated parallel inclined plates using incompressible couple stress fluids. Reynold's model is used for temperature dependent viscosity. We have developed highly non-linear coupled ordinary differential equations from momentum and energy equations. The Perturbation technique is used to obtain the approximate analytical expressions for velocity and temperature distributions. Expressions for velocity field, temperature distribution, dynamic pressure, volume flow rate, average velocity and shear stress on the plates are obtained. The influence of various emerging parameters on the flow problem is discussed and presented graphically.

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Steady Poiseuille flow and heat transfer of couple stress fluids between two parallel inclined plates with variable viscosity

Abstract

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