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Exact Analysis of Non-Linear Fractionalized Jeffrey Fluid.A Novel Approach of Atangana-Baleanu Fractional Model

作     者:Saqib Murtaza Farhad Ali Aamina Nadeem Ahmad Sheikh Ilyas Khan Kottakkaran Sooppy Nisar 

作者机构:Department of MathematicsCity University of Science and Information TechnologyPeshawarKhyber PakhtnkhwaPakistan Computational Analysis Research GroupTon Duc Thang UniversityHo Chi Minh CityVietnam Faculty of Mathematics and StatisticsTon Duc Thang UniversityHo Chi Minh CityVietnam Department of MathematicsCollege of Science Al-ZulfiMajmah UniversityAl-Majmah11952Saudi Arabia Department of MathematicsCollege of Arts and SciencesPrince Sattam Bin Abdulaziz UniversityWadi AldawaserSaudi Arabia 

出 版 物:《Computers, Materials & Continua》 (计算机、材料和连续体(英文))

年 卷 期:2020年第65卷第12期

页      面:2033-2047页

核心收录:

学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基  金:The author(s) received no specific funding for this study 

主  题:Viscous dissipation atangana-baleanu fractional derivative laplace transform fourier sine transform 

摘      要:It is a very difficult task for the researchers to find the exact solutions to mathematical problems that contain non-linear terms in the ***,this article aims to investigate the viscous dissipation(VD)effect on the fractional model of Jeffrey fluid over a heated vertical flat plate that suddenly moves in its own *** on the Atangana-Baleanu operator,the fractional model is developed from the fractional constitutive *** is responsible for the non-linear behavior in the *** taking the Laplace and Fourier sine transforms,exact expressions have been obtained for momentum and energy *** influence of relative parameters on fluid flow and temperature distribution is shown *** special cases,and for the sake of correctness,the corresponding results for second-grade fluid and Newtonian viscous fluid are also *** is interesting to note that fractional parameterαprovides more than one line as compared to the classical *** effect represents the memory effect in the fluid which is not possible to elaborate by the classical *** is also worth noting that the temperature profile of the generalized Jeffrey fluid rises for higher values of Eckert number which is due to the enthalpy difference of the boundary layer.

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