Document Type : Research Paper
Authors
1
1. Department of Mathematics, University of Sargodha, Sargodha 40100, Pakistan.\\ 2. Department of Mathematics, University of Management and Technology, Lahore 54770, Pakistan.\\ 3. Mathematics in Applied Sciences and Engineering Research Group, Scientific Research Center, Al-Ayen University, Nasiriyah, 64001, Iraq.
2
Department of Mathematics, University of Sargodha, Sargodha 40100, Pakistan.
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Department of Mathematics and Information Technologies, Tashkent State Pedagogical University, Tashkent, Uzbekistan.
4
Department of Mathematics, University of Management and Technology, Lahore 54770, Pakistan.
5
Civil and Environmental Engineering Department, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia.
10.22034/cmde.2025.67938.3252
Abstract
In this paper, unsteady one-dimensional
ows in a rectangular channel of two incompressible and immiscible
generalized second grade
uids are studied. The generalization discussed consists onto mathematical framework
constructed upon constitutive equations of second-grade (SG)
uid with temporal fractional derivatives Caputo (C),
Caputo-Fabrizio (CF) and Atangna-Baleanu (ABC). The evolution of a shear stress has an impact on the velocity
gradient. The velocity and shear stress components are transformed using a Laplace transformation. The Stehfest's
numerical approach for the reverse Laplace transformation is used to obtain numerical results for actual velocity
and shear stress. The impact of fractional parameters upon velocity and shear stress is investigated using numerical
simulations and graphical depictions. The memory impacts are just noticeable for tiny amounts of time t, according
to this theory.
Keywords
Main Subjects
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