Atangana–Baleanu fractional model for electro-osmotic flow of viscoelastic fluids

作者: Farhad Ali , Muhammad Iftikhar , Ilyas Khan , Nadeem Ahmad Sheikh , None

DOI: 10.1016/J.CHAOS.2019.05.001

关键词:

摘要: Abstract The main goal of the current research paper is to examine magnetohydrodynamics (MHD) free convection flow generalized Walters’-B fluid with effect electro-osmosis. Electro-osmosis motion liquid across a porous material which generated by applied potential on net mobile electric charge in solution. classical model transformed generalize using new idea Atangana–Baleanu time fractional derivative. Exact solutions for velocity and temperature profiles stated problem are obtained Laplace transform technique. Some interesting important results have been from study. effects various embedded parameters like parameter Γ, Prandtl number Pr, Grashof Gr, Keff electro-osmosis Es plotted graphically Mathcad software. It worth nothing that increasing values Es, decreases. Furthermore, decrease observed value Γ.

参考文章(53)
Agnieszka B. Malinowska, Delfim F. M. Torres, Introduction to the Fractional Calculus of Variations ,(2012)
Oleg Igorevich Marichev, Stefan G Samko, Anatoly A Kilbas, Fractional Integrals and Derivatives: Theory and Applications ,(1993)
ENRICO SCALAS, RUDOLF GORENFLO, FRANCESCO MAINARDI, MARCO RABERTO, REVISITING THE DERIVATION OF THE FRACTIONAL DIFFUSION EQUATION Fractals. ,vol. 11, pp. 281- 289 ,(2003) , 10.1142/S0218348X0300194X
Wen-Chang Tan, Ming-Yu Xu, The impulsive motion of flat plate in a generalized second grade fluid Mechanics Research Communications. ,vol. 29, pp. 3- 9 ,(2002) , 10.1016/S0093-6413(02)00223-9
C. Y. Soong, P. W. Hwang, J. C. Wang, Analysis of pressure-driven electrokinetic flows in hydrophobic microchannels with slip-dependent zeta potential Microfluidics and Nanofluidics. ,vol. 9, pp. 211- 223 ,(2010) , 10.1007/S10404-009-0536-0
Daniel D. Joseph, Jean Claude Saut, Short-wave instabilities and ill-posed initial-value problems Theoretical and Computational Fluid Dynamics. ,vol. 1, pp. 191- 227 ,(1990) , 10.1007/BF00418002