Steady laminar Couette flow of a dilatant fluid along a channel with suction at a bounding wall

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Title:Steady laminar Couette flow of a dilatant fluid along a channel with suction at a bounding wall
Creators:
Sacheti, N.C.; Department of Mathematics and Statistics, College of Science, Sultan Qaboos University, P O Box 36, PC 123, Al Khod, Muscat, Sultanate of Oman
Chandran, P.; Department of Mathematics and Statistics, College of Science, Sultan Qaboos University, P O Box 36, PC 123, Al Khod, Muscat, Sultanate of Oman
Jaju, R.P.; Department of Computer Science, University of Swaziland, Kwaluseni, Swaziland
Bhatt, B.S.; Department of Mathematics, The University of West Indies, St. Augustine, Trinidad, West Indies
Journal or Publication Title:
Journal of Hydrology and Hydromechanics, 52, 3, pp. 175-184
Uncontrolled Keywords:Non-Newtonian Fluid, Plane Couette Flow, Similarity Transformation, Suction, Skin Friction

Abstract

We consider a special dilatant fluid model for which the apparent viscosity can be expressed as a polynomial in the second scalar invariant of the rate of strain tensor. The model has been used to investigate the steady plane Couette flow of a non-Newtonian fluid through a channel with suction, assumed small, at the lower porous wall. The introduction of a similarity transformation in the perturbed governing partial differential equations of the flow leads to a system of coupled non-linear ordinary differential equations. The solutions of these equations have been obtained analytically as a power series in the suction parameter α. The combined effects of the non-Newtonian and the suction parameters on the longitudinal and transverse velocity profiles as well as the skin friction, have been discussed. The validity of the analytical solutions has also been checked with the corresponding numerical solutions for small values of the governing parameters.

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Title:Steady laminar Couette flow of a dilatant fluid along a channel with suction at a bounding wall
Translated title:Ustálené laminárne Couetteho prúdenie nenewtonskej tekutiny v potrubí so saním na stenách
Creators:
Sacheti, N.C.; Department of Mathematics and Statistics, College of Science, Sultan Qaboos University, P O Box 36, PC 123, Al Khod, Muscat, Sultanate of Oman
Chandran, P.; Department of Mathematics and Statistics, College of Science, Sultan Qaboos University, P O Box 36, PC 123, Al Khod, Muscat, Sultanate of Oman
Jaju, R.P.; Department of Computer Science, University of Swaziland, Kwaluseni, Swaziland
Bhatt, B.S.; Department of Mathematics, The University of West Indies, St. Augustine, Trinidad, West Indies
Uncontrolled Keywords:Non-Newtonian Fluid, Plane Couette Flow, Similarity Transformation, Suction, Skin Friction
Subjects:T Technology > TA Engineering (General). Civil engineering (General)
Divisions:Mathematics, Physics and Earth Sciences > Institute of Hydrodynamics > Journal of Hydrology and Hydromechanics
Journal or Publication Title:Journal of Hydrology and Hydromechanics
Volume:52
Number:3
Page Range:pp. 175-184
ISSN:0042-790X
Publisher:Institute of Hydrology of the Slovak Academy of Sciences and the Institute of Hydrodynamics of the Academy of Sciences of the Czech Republic
Related URLs:
URLURL Type
http://avi.lib.cas.cz/node/55Publisher
ID Code:5983
Item Type:Article
Deposited On:15 Jun 2010 12:14
Last Modified:15 Jun 2010 10:14

Citation

Sacheti, N.C.; Chandran, P.; Jaju, R.P.; Bhatt, B.S. (2004) Steady laminar Couette flow of a dilatant fluid along a channel with suction at a bounding wall. Journal of Hydrology and Hydromechanics, 52 (3). pp. 175-184. ISSN 0042-790X

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