@Article{cmc.2020.011817,
AUTHOR = {Saqib Murtaza, Farhad Ali, Aamina, Nadeem Ahmad Sheikh, Ilyas Khan, Kottakkaran Sooppy Nisar},
TITLE = {Exact Analysis of Non-Linear Fractionalized Jeffrey Fluid. A  Novel Approach of Atangana-Baleanu Fractional Model},
JOURNAL = {Computers, Materials \& Continua},
VOLUME = {65},
YEAR = {2020},
NUMBER = {3},
PAGES = {2033--2047},
URL = {http://www.techscience.com/cmc/v65n3/40153},
ISSN = {1546-2226},
ABSTRACT = {It is a very difficult task for the researchers to find the exact solutions to 
mathematical problems that contain non-linear terms in the equation. Therefore, 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 plane. Based on the 
Atangana-Baleanu operator, the fractional model is developed from the fractional 
constitutive equations. VD is responsible for the non-linear behavior in the problem. Upon 
taking the Laplace and Fourier sine transforms, exact expressions have been obtained for 
momentum and energy equations. The influence of relative parameters on fluid flow and 
temperature distribution is shown graphically. As special cases, and for the sake of 
correctness, the corresponding results for second-grade fluid and Newtonian viscous fluid 
are also obtained. It is interesting to note that fractional parameter α provides more than 
one line as compared to the classical model. This effect represents the memory effect in the 
fluid which is not possible to elaborate by the classical model. It 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.},
DOI = {10.32604/cmc.2020.011817}
}