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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2022, Volume 63, Issue 5, Pages 71–80
DOI: https://doi.org/10.15372/PMTF20220507 (Mi pmtf150) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Axisymmetric motion of an incompressible couple stress fluid between two eccentric rotating spheres

A. Al-Hanayaa, Sh. El-Sapab, E. A. Ashmawyb

a Princess Nourah bint Abdulrahman University, 11671, Riyadh, Saudi Arabia
b Alexandria University, Alexandria, Egypt
Full-text PDF (241 kB) First page Citations (4)
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DOI: https://doi.org/10.15372/PMTF20220507
Abstract: This study deals with axisymmetric steady rotational movement of an incompressible couple stress fluid between two non-concentric objects. Two spherical boundaries are revolving axially with different angular velocities. At low Reynolds numbers, the solution is obtained semi-analytically utilizing the superposition guideline and the collocation approach. The hydrodynamic couple exerted by the fluid on the internal particle is considered. The results obtained in the study are compared with the corresponding results of the classical viscous fluids available in the literature.
Keywords: couple stress fluids, rotational motion, eccentric spheres, torque, collocation method.
Funding agency Grant number
Princess Nourah bint Abdulrahman University PNURSP2022R215
Received: 06.10.2021
Revised: 09.02.2022
Accepted: 28.02.2022
English version:
Journal of Applied Mechanics and Technical Physics, 2022, Volume 63, Issue 5, Pages 790–798
DOI: https://doi.org/10.1134/S0021894422050078
Bibliographic databases:
Document Type: Article
UDC: 532.5
Language: Russian
Citation: A. Al-Hanaya, Sh. El-Sapa, E. A. Ashmawy, “Axisymmetric motion of an incompressible couple stress fluid between two eccentric rotating spheres”, Prikl. Mekh. Tekh. Fiz., 63:5 (2022), 71–80; J. Appl. Mech. Tech. Phys., 63:5 (2022), 790–798
Citation in format AMSBIB
\Bibitem{Al-El-Ash22}
\by A.~Al-Hanaya, Sh.~El-Sapa, E.~A.~Ashmawy
\paper Axisymmetric motion of an incompressible couple stress fluid between two eccentric rotating spheres
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2022
\vol 63
\issue 5
\pages 71--80
\mathnet{http://mi.mathnet.ru/pmtf150}
\crossref{https://doi.org/10.15372/PMTF20220507}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4550531}
\elib{https://elibrary.ru/item.asp?id=49537715}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2022
\vol 63
\issue 5
\pages 790--798
\crossref{https://doi.org/10.1134/S0021894422050078}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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    References:8
    First page:3
     
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