Title :
Chaotic convective behavior and stability analysis of a fractional viscoelastic fluids model in porous media
Author :
N´Doye, Ibrahima ; Laleg-Kirati, Taous-Meriem
Author_Institution :
Comput., Electr. & Math. Sci. & Eng. Div., King Abdullah Univ. of Sci. & Technol., Thuwal, Saudi Arabia
Abstract :
In this paper, a dynamical fractional viscoelastic fluids convection model in porous media is proposed and its chaotic behavior is studied. A preformed equilibrium points analysis indicates the conditions where chaotic dynamics can be observed, and show the existence of chaos. The behavior and stability analysis of the integer-order and the fractional commensurate and non-commensurate orders of a fractional viscoelastic fluids system, which exhibits chaos, are presented as well.
Keywords :
computational fluid dynamics; convection; flow instability; flow through porous media; non-Newtonian flow; chaotic convective behavior; dynamical fractional viscoelastic fluid; equilibrium points analysis; porous media; stability analysis; viscoelastic fluid convection model; Chaos; Eigenvalues and eigenfunctions; Mathematical model; Media; Numerical stability; Stability analysis; Fractional calculus; chaotic convective behavior; generalized fractional-order system; porous media; thermal convection; viscoelastic fluids;
Conference_Titel :
Control, Engineering & Information Technology (CEIT), 2015 3rd International Conference on
Conference_Location :
Tlemcen
DOI :
10.1109/CEIT.2015.7233077
