Chaotic convection in a rotating fluid layer

• Main Authors: Vinod K. Gupta, B.S. Bhadauria, I. Hasim, J. Jawdat, A.K. Singh
• Format: Article
• Language: English
• Published: Elsevier 2015-12-01
• Series: Alexandria Engineering Journal
• Subjects: Chaotic behavior; Rotation; Lorenz-equation; Fluid layer
• Online Access: http://www.sciencedirect.com/science/article/pii/S1110016815001386

A study of thermal convection in a rotating fluid layer is investigated based on the dynamical systems approach. A system of differential equation like Lorenz model has been obtained by using Galerkin-truncated approximation. The chaotic convection is investigated in a rotating fluid layer. A low-dimensional, Lorenz-like model was obtained using Galerkin truncated approximation. The fourth-order Runge–Kutta method is employed to obtain the numerical solution of Lorenz-like system of equations. We found that there is proportional relation between Taylor number and the scaled Rayleigh number R. This means that chaotic behavior can be delayed (for increasing value of R) when we increase the scaled Taylor number. We conclude that the transition from steady convection to chaos depends on the level of Taylor number.