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Significances of exponential heating and Darcy's law for second grade fluid flow over oscillating plate by using Atangana-Baleanu fractional derivatives

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成果类型:
期刊论文
作者:
Song, Ying-Qing;Raza, Ali;Al-Khaled, Kamel;Farid, Saadia;Khan, M. Ijaz;...
通讯作者:
Shi, Qiu-Hong(shiqiuhong@zjhu.edu.cn);Khan, M. Imran(imrankhan@cecos.edu.pk)
作者机构:
[Song, Ying-Qing] Hunan City Univ, Coll Sci, Yiyang 413000, Peoples R China.
[Raza, Ali; Farid, Saadia] Univ Engn & Technol, Dept Math, Lahore 54890, Pakistan.
[Al-Khaled, Kamel] Jordan Univ Sci & Technol, Dept Math & Stat, POB 3030, Irbid 22110, Jordan.
[Khan, M. Ijaz] Dept Math & Stat, Riphah Int Univ I-14, Islamabad 44000, Pakistan.
[Khan, M. Ijaz] King Abdulaziz Univ, Fac Sci, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, POB 80257, Jeddah 21589, Saudi Arabia.
通讯机构:
[Qiu-Hong Shi] D
[M. Imran Khan] C
CECOS University of IT & Emerging Sciences, Peshawar, Pakistan<&wdkj&>Department of Mathematics, Huzhou University, Huzhou, 313000, PR China
语种:
英文
关键词:
Darcy's flow;AB-Fractional derivative;Second grade fluid
期刊:
Case Studies in Thermal Engineering
ISSN:
2214-157X
年:
2021
卷:
27
页码:
101266
基金类别:
The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University , Abha 61413, Saudi Arabia for funding this work through research groups program under grant number R.G.P-1/234/42 .
机构署名:
本校为第一机构
院系归属:
理学院
摘要:
The main aim of this study is to apply the recent definition of fractional derivative i.e. Atangana-Baleanu time-fractional derivative on second grade fluid flowing on an infinite plate under the MHD (magnetohydrodynamics) effect. The flow is studied under both Darcy's law and heat transfer. To find out the analytical solution, the Laplace transformation technique is utilized on the obtained non-dimensional governing equations momentum and heat equations with initial and boundary conditions. To enhance the innovation of this study, the graphica...

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