Paper Info
Title
MHD Flow and Heat Transfer in Sodium Alginate Fluid with Thermal Radiation and Porosity Effects: Fractional Model of Atangana-Baleanu Derivative of Non-Local and Non-Singular Kernel.
Abstract
Heat transfer analysis in an unsteady magnetohydrodynamic (MHD) flow of generalized Casson fluid over a vertical plate is analyzed. The medium is porous, accepting Darcy's resistance. The plate is oscillating in its plane with a cosine type of oscillation. Sodium alginate (SA-NaAlg) is taken as a specific example of Casson fluid. The fractional model of SA-NaAlg fluid using the Atangana-Baleanu fractional derivative (ABFD) of the non-local and non-singular kernel has been examined. The ABFD definition was based on the Mittag-Leffler function, and promises an improved description of the dynamics of the system with the memory effects. Exact solutions in the case of ABFD are obtained via the Laplace transform and compared graphically. The influence of embedded parameters on the velocity field is sketched and discussed. A comparison of the Atangana-Baleanu fractional model with an ordinary model is made. It is observed that the velocity and temperature profile for the Atangana-Baleanu fractional model are less than that of the ordinary model. The Atangana-Baleanu fractional model reduced the velocity profile up to 45.76% and temperature profile up to 13.74% compared to an ordinary model.
Year
DOI
Venue
2019
10.3390/sym11101295
SYMMETRY-BASEL
Keywords
Field
DocType
SA-NaAlg fluid,MHD,porosity,fractional model,Atangana-Baleanu derivative
Magnetohydrodynamic drive,Oscillation,Thermal radiation,Laplace transform,Vector field,Mathematical analysis,Heat transfer,Fractional calculus,Magnetohydrodynamics,Mathematics
Journal
Volume
Issue
Citations 
11
10
0
PageRank 
References 
Authors
0.34
0
8
Name
Order
Citations
PageRank
Arshad Khan100.34
Dolat Khan201.01
Ilyas Khan32525.71
Muhammad Taj400.34
Imran Ullah500.34
Abdullah Mohammed Aldawsari600.34
Phatiphat Thounthong712821.71
K. S. Nisar81512.15