On the Exact Solutions of Couple Stress Fluids

Khan, Waqar; Yousafzai, Faisal

doi:10.18052/www.scipress.com/ATMath.1.27

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On the Exact Solutions of Couple Stress Fluids

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Abstract:

Exact solutions of the momentum equations of couple stress fluid are investigated. Making use of stream function, the two-dimensional flow equations are transformed into non-linear compatibility equation, and then it is linearized by vorticity function. Stream functions and velocity distributions are discussed for various flow situations.

Info:

Periodical:

Advanced Trends in Mathematics (Volume 1)

Pages:

27-32

DOI:

https://doi.org/10.18052/www.scipress.com/ATMath.1.27

Citation:

W. Khan and F. Yousafzai, "On the Exact Solutions of Couple Stress Fluids", Advanced Trends in Mathematics, Vol. 1, pp. 27-32, 2014

Online since:

December 2014

Authors:

Waqar Khan, Faisal Yousafzai

Keywords:

Couple Stress Fluid, Exact Solutions, Two-Dimensional Flows

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Distribution:

Open Access

This work is licensed under a
Creative Commons Attribution 4.0 International License

References:

V. K. Stokes, Couple Stresses in fluid, The physics of fluids., 9, 1709-1715, (1966).

G. Ramanaiah, Squeeze films between finite plates lubricated by fluids with couple-stresses, Wear., 54, 315-320, (1979).

P. Sinha and C. Singh, Couple stress in the lubrication of rolling contact bearings considering cavitations, Wear., 67, 85-91, (1981).

Li-Wang, Qin-Zhu and Zhu-Wen, On the performance of dynamically loaded journal bearings with couple stress fluids, Tribology Int., 35, 185-191, (2002).

S. Islam and C. Y. Zhou, Exact solutions for two dimensional flows of couple stress fluids., ZAMP, 58, 1035-1048, (2007).

S. Islam, C. Y. Zhou, X. J. Ran, Exact solutions for different vorticity functions of couple stress fluids., J Zhejiang Univ Sci A, 9(5), 672-680, (2008).

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