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Siddique, Imran, Ghafoor, Laiba, Abdullaeva, Barno, Faheem, Aneeza, Yaseen, Zaher. (1405). Unsteady Flow of Immiscible Generalized Second-Grade Fluids in a Rectangular Channel using Fractional Derivatives. سامانه مدیریت نشریات علمی, (), -. doi: 10.22034/cmde.2025.67938.3252
Imran Siddique; Laiba Ghafoor; Barno Abdullaeva; Aneeza Faheem; Zaher M Yaseen. "Unsteady Flow of Immiscible Generalized Second-Grade Fluids in a Rectangular Channel using Fractional Derivatives". سامانه مدیریت نشریات علمی, , , 1405, -. doi: 10.22034/cmde.2025.67938.3252
Siddique, Imran, Ghafoor, Laiba, Abdullaeva, Barno, Faheem, Aneeza, Yaseen, Zaher. (1405). 'Unsteady Flow of Immiscible Generalized Second-Grade Fluids in a Rectangular Channel using Fractional Derivatives', سامانه مدیریت نشریات علمی, (), pp. -. doi: 10.22034/cmde.2025.67938.3252
Siddique, Imran, Ghafoor, Laiba, Abdullaeva, Barno, Faheem, Aneeza, Yaseen, Zaher. Unsteady Flow of Immiscible Generalized Second-Grade Fluids in a Rectangular Channel using Fractional Derivatives. سامانه مدیریت نشریات علمی, 1405; (): -. doi: 10.22034/cmde.2025.67938.3252

Unsteady Flow of Immiscible Generalized Second-Grade Fluids in a Rectangular Channel using Fractional Derivatives

Computational Methods for Differential Equations
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 31 فروردین 1405    اصل مقاله (1.48 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2025.67938.3252
نویسندگان
Imran Siddique* 1؛ Laiba Ghafoor2؛ Barno Abdullaeva3؛ Aneeza Faheem4؛ Zaher M Yaseen5
11. 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.
2Department of Mathematics, University of Sargodha, Sargodha 40100, Pakistan.
3Department of Mathematics and Information Technologies, Tashkent State Pedagogical University, Tashkent, Uzbekistan.
4Department of Mathematics, University of Management and Technology, Lahore 54770, Pakistan.
5Civil and Environmental Engineering Department, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia.
چکیده
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.
کلیدواژه‌ها
Fractional calculus؛ Second-grade fluids؛ Memory impacts؛ The flow of two layers
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