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

Research output: Contribution to journalArticle

12 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)9-18
Number of pages10
JournalJournal of the Association of Arab Universities for Basic and Applied Sciences
Volume14
Issue number1
DOIs
StatePublished - Oct 2013

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Variable Viscosity
steady flow
Couple Stress
Poiseuille Flow
Steady flow
Inclined
Steady Flow
Temperature Distribution
heat transfer
Viscosity
Heat Transfer
viscosity
Temperature distribution
Hot Temperature
Temperature-dependent Viscosity
Heat transfer
Fluid
Perturbation techniques
Temperature
Fluids

All Science Journal Classification (ASJC) codes

  • Chemistry(all)
  • Mathematics(all)
  • Materials Science(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • Environmental Science(all)
  • Agricultural and Biological Sciences(all)
  • Energy(all)

Cite this

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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.",
author = "M. Farooq and Rahim, {M. T.} and S. Islam and Siddiqui, {A. M.}",
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T1 - Steady Poiseuille flow and heat transfer of couple stress fluids between two parallel inclined plates with variable viscosity

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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