Chaotic convection in couple stress liquid saturated porous layer
الموضوعات : مجله بین المللی ریاضیات صنعتیVinod K‎. ‎Gupta‎ 1 , A. K. ‎Singh‎ 2 , B. S. Bhadauria‎ 3 , I. Hasim‎ 4 , J. M. Jawdat‎ 5
1 - Department of Mathematics, DIT University, Dehradun, India-$248009$.
2 - Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi, India.
3 - Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi, India.
4 - School of Mathematical Sciences, Faculty of Science,Universiti Kebangsaan Malaysia (UKM).
5 - Department of Applied Mathematics, University of Tabuk, Saudi Arabia.
الکلمات المفتاحية: Chaotic behavior, Couple stress liquid, Porous media, Lorenz equations,
ملخص المقالة :
In this paper, we have investigated the chaotic behavior of thermal convection in couple stress liquid saturated porous layer subject to gravity, heated from below and cooled from above, based on theory of dynamical system. A low dimensional Lorenz- like model is obtained by using Galerkin-truncation approximation. We found that there is proportional relation between scaled couple stress parameter and rescaled Rayleigh number. We analyzed that increase in level of couple stress parameter increases the level of chaos.
