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Heat Transfer in MHD Flow of Maxwell Fluid via Fractional Cattaneo-Friedrich Model:A Finite Difference Approach

Computers, Materials & Continua 2020年第12期65卷 1959-1973页

作者： Muhammad Saqib hanifa hanif T.Abdeljawad Ilyas Khan Sharidan Shafie Kottakkaran Sooppy Nisar Department of Mathematical Sciences Faculty of ScienceUniversiti Teknologi MalaysiaJohor Bahru81310Malaysia Department of Mathematics Sardar Bahadur Khan Women’s UniversityQuettaPakistan Department of Mathematics and General Sciences Prince Sultan UniversityRiyadh11586Saudi Arabia Department of Medical Research China Medical UniversityTaichung40402Taiwan Department of Computer Science and Information Engineering Asia UniversityTaichung40402Taiwan Faculty of Mathematics and Statistics Ton Duc Thang UniversityHo Chi Minh CityVietnam Department of Mathematics College of Arts and SciencesPrince Sattam bin Abdulaziz UniversityWadi Aldawaser11991Saudi Arabia

The idea of fractional derivatives is applied to several problems of viscoelastic ***,most of these problems(fluid problems),were studied analytically using different integral transform techniques,as most of these problems are *** idea of the above fractional derivatives is rarely applied to fluid problems governed by nonlinear partial differential *** importantly,in the nonlinear problems,either the fractional models are developed by artificial replacement of the classical derivatives with fractional derivatives or simple classical problems(without developing the fractional model even using artificial replacement)are *** problems were mostly solved for steady-state fluid *** the present article,studied unsteady nonlinear non-Newtonian fluid problem(Cattaneo-Friedrich Maxwell(CFM)model)and the fractional model are developed starting from the fractional constitutive equations to the fractional governing equations;in other words,the artificial replacement of the classical derivatives with fractional derivatives is not done,but in details,the fractional problem is modeled from the fractional constitutive *** exactly two-dimensional magnetic resistive flow in a porous medium of fractional Maxwell fluid(FMF)over an inclined plate with variable velocity and the temperature is *** Caputo time-fractional derivative model(CFM)is used in the governing *** proposed model is numerically solved via finite difference method(FDM)along with L1-scheme for *** numerical results are presented in various *** results indicated that the fractional parameters significantly affect the temperature and velocity *** is noticed that the temperature field increased with an increase in the fractional ***,the effect of fractional parameters is opposite on the velocity field near the ***,this trend became like that of the temperature profile,away from the ***,

关键词： Viscoelastic fluid Cattaneo-Friedrich Maxwell model variable heating magnetohydrodynamic(MHD) porous medium fractional derivatives

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