HEAT TRANSFER OF MHD OLDROYD-B FLUID WITH RAMPED WALL VELOCITY AND TEMPERATURE IN VIEW OF LOCAL AND NONLOCAL DIFFERENTIAL OPERATORS

Maryam Asgir (), Muhammad Bilal Riaz, Fahd Jarad and Azhar Ali Zafar ()
Additional contact information
Maryam Asgir: Department of Mathematics, Government College University, Lahore 54770, Pakistan
Muhammad Bilal Riaz: Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 1/15 Stefanowskiego St., 90-924, Lodz, Poland3Department of Mathematics, University of Management and Technology, Lahore 54770, Pakistan
Fahd Jarad: Department of Mathematics, Çankaya University, Etimesgut, Ankara, Turkey5Department of Medical Research, China Medical University Hospital, China Medical University, Taichung Taiwan
Azhar Ali Zafar: Department of Mathematics, Government College University, Lahore 54770, Pakistan

FRACTALS (fractals), 2022, vol. 30, issue 05, 1-19

Abstract: The theoretical study focuses on the examination of the convective flow of Oldroyd-B fluid with ramped wall velocity and temperature. The fluid is confined on an extended, unbounded vertical plate saturated within the permeable medium. To depict the fluid flow, the coupled partial differential equations are settled by using the Caputo (C) and Caputo Fabrizio (CF) differential time derivatives. The mathematical analysis of the fractionalized models of fluid flow is performed by Laplace transform (LT). The complexity of temperature and velocity profile is explored by numerical inversion algorithms of Stehfest and Tzou. The fractionalized solutions of the temperature and velocity profile have been traced out under fractional and other different parameters considered. The physical impacts of associated parameters are elucidated with the assistance of the graph using the software MATHCAD 15. We noticed the significant influence of the fractional parameter (memory effects) and other parameters on the dynamics of the fluid flow. Shear stress at the wall and Nusselt number also are considered. It’s brought into notice the fractional-order model (CF) is the best fit in describing the memory effects in comparison to the C model. An analysis of the comparison between the solution of velocity and temperature profile for ramped wall temperature and velocity and constant wall temperature and velocity is also performed.

Keywords: Oldroyd-B Fluid; Convection; MHD; Permeable Medium; Fractional Calculus; Laplace Transform; Numerical Algorithms (search for similar items in EconPapers)
Date: 2022
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218348X22401727
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:30:y:2022:i:05:n:s0218348x22401727

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218348X22401727

Access Statistics for this article

FRACTALS (fractals) is currently edited by Tara Taylor

More articles in FRACTALS (fractals) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().