On the Taylor–Couette flow of fractional oldroyd-B fluids in a cylindrically symmetric configuration using transforms

Bander Almutairi, Muhammad Kamran, Aamir Farooq, Hijaz Ahmad, Azeem Shahzad, Farman Ullah Khan, Ali Sikandar Khan and Bandar Almohsen
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Bander Almutairi: Department of Mathematics, College of Science, King Saud University, Riyadh 11451, Saudi Arabia
Muhammad Kamran: ��Department of Mathematics, COMSATS University Islamabad, Wah Campus 47040, Pakistan
Aamir Farooq: ��Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad, Pakistan
Hijaz Ahmad: �Information Technology Application and Research Center, Istanbul Ticaret University, 34445, Istanbul, Turkey¶Department of Mathematics, Faculty of Humanities and Social Sciences, Istanbul Ticaret University, 34445, Istanbul, Turkey
Azeem Shahzad: ��Department of Basic Sciences, University of Engineering and Technology, Taxila, Pakistan
Farman Ullah Khan: *Department of Mathematics, HITEC University Taxila Cant, Pakistan
Ali Sikandar Khan: ��Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad, Pakistan
Bandar Almohsen: Department of Mathematics, College of Science, King Saud University, Riyadh 11451, Saudi Arabia

International Journal of Modern Physics C (IJMPC), 2022, vol. 33, issue 08, 1-17

Abstract: The focus in this study is to examine the flow formation of Taylor–Couette (T–C) for some fluids exhibiting non-Newtonian properties in a region of cylindrical annulus due to the effect of imposed stresses on the periphery of the inner cylinder while the outer cylinder is hanging around inert. This tangential shear will be liable for the motion of the fluid through the annulus. It is very often when researchers in different fields like engineering, mathematics and physics come across the complexity that the given mathematical model cannot be solved in the existing space and requires to be transformed in the space in which it can be easily solved. Thus, transforms are being used as a key tool for solving many dominant problems in different fields. Many transformations have been introduced by researchers but for solving problems in this study, we will make use of Hankel transform and Laplace transform to obtain the velocity field and the corresponding shear stresses (SS) for the fractional Oldroyd-B fluid (O-B fluid). In the end, a graphical presentation is given for the comparison of the effect on fluid motion due to different parameters like fractional parameters, relaxation and retardation times.

Keywords: Taylor–Couette Flow (T–C flow); velocity field (VF); shear stress (SS); integral transforms; oldroyd-b fluid (O-B fluid); cylindrical annuli (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0129183122500991

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