Analytical investigation of Carreau fluid flow through a non-circular conduit with wavy wall.

Autor: Shahzad MH; Department of Mathematics, University of the Punjab, Lahore, 54590, Pakistan., Awan AU; Department of Mathematics, University of the Punjab, Lahore, 54590, Pakistan. aziz.math@pu.edu.pk., Akgül A; Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon.; Department of Mathematics, Art and Science Faculty, Siirt University, 56100, Siirt, Turkey.; Department of Mathematics, Mathematics Research Center, Near East University, Near East Boulevard, 99138, Nicosia, Mersin 10, Turkey., Nadeem S; Department of Mathematics, Quaid-i-Azam University 45320, Islamabad, 44000, Pakistan.; Department of Mathematics, Wenzhou University, Wenzhou, China., Guedri K; Mechanical Engineering Department, College of Engineering and Islamic Architecture, Umm Al-Qura University, P.O. Box 5555, 21955, Makkah, Saudi Arabia., Hassani MK; Department of Mathematics, Ghazni University, Ghazni, Afghanistan. mhassani@gu.edu.af., Makhdoum BM; Mechanical Engineering Department, College of Engineering and Islamic Architecture, Umm Al-Qura University, P.O. Box 5555, 21955, Makkah, Saudi Arabia.
Jazyk: angličtina
Zdroj: Scientific reports [Sci Rep] 2024 Jan 29; Vol. 14 (1), pp. 2437. Date of Electronic Publication: 2024 Jan 29.
DOI: 10.1038/s41598-024-52848-0
Abstrakt: Peristaltic flow through an elliptic channel has vital significance in different scientific and engineering applications. The peristaltic flow of Carreau fluid through a duct with an elliptical cross-section is investigated in this work . The proposed problem is defined mathematically in Cartesian coordinates by incorporating no-slip boundary conditions. The mathematical equations are solved in their dimensionless form under the approximation of long wavelength. The solution of the momentum equation is obtained by applying perturbation technique ([Formula: see text] as perturbation parameter) along with a polynomial solution. We introduce a new polynomial of twenty degrees to solve the energy equation. The solutions of mathematical equations are investigated deeply through graphical analysis. It is noted that non-Newtonian effects are dominant along the minor axis. It is found that flow velocity is higher in the channels having a high elliptical cross-section. It is observed from the streamlines that the flow is smooth in the mid-region, but they transform into contours towards the peristaltic moving wall of the elliptic duct.
(© 2024. The Author(s).)
Databáze: MEDLINE
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