G-Jitter Effects on Chaotic Convection in a Rotating Fluid Layer

2020 ◽  
Author(s):  
Palle Kiran
Keyword(s):  
Fluid Layer ◽  
Rotating Fluid ◽  
Chaotic Convection

scholarly journals Chaotic convection in a rotating fluid layer

2015 ◽  
Vol 54 (4) ◽  
pp. 981-992 ◽  
Author(s):  
Vinod K. Gupta ◽  
B.S. Bhadauria ◽  
I. Hasim ◽  
J. Jawdat ◽  
A.K. Singh
Keyword(s):  
Fluid Layer ◽  
Rotating Fluid ◽  
Chaotic Convection

Weakly Nonlinear Oscillatory Convection in a Rotating Fluid Layer Under Temperature Modulation

2016 ◽  
Vol 138 (5) ◽  
Author(s):  
Palle Kiran ◽  
B. S. Bhadauria
Keyword(s):  
Heat Transport ◽  
Fluid Layer ◽  
Landau Equation ◽  
Complex Form ◽  
Oscillatory Mode ◽  
Temperature Modulation ◽  
Rotating Fluid ◽  
Nonlinear Stability Analysis ◽  
Ginzburg Landau ◽  
Weakly Nonlinear

A study of thermal instability driven by buoyancy force is carried out in an initially quiescent infinitely extended horizontal rotating fluid layer. The temperature at the boundaries has been taken to be time-periodic, governed by the sinusoidal function. A weakly nonlinear stability analysis has been performed for the oscillatory mode of convection, and heat transport in terms of the Nusselt number, which is governed by the complex form of Ginzburg–Landau equation (CGLE), is calculated. The influence of external controlling parameters such as amplitude and frequency of modulation on heat transfer has been investigated. The dual effect of rotation on the system for the oscillatory mode of convection is found either to stabilize or destabilize the system. The study establishes that heat transport can be controlled effectively by a mechanism that is external to the system. Further, the bifurcation analysis also presented and established that CGLE possesses the supercritical bifurcation.

scholarly journals ON ONSET OF CHAOTIC CONVECTION IN COUPLE-STRESS FLUIDS

2014 ◽  
Vol 19 (3) ◽  
pp. 359-370 ◽  
Author(s):  
Jadallah M. Jawdat ◽  
Ishak Hashim ◽  
Beer S. Bhadauria ◽  
Shaher Momani
Keyword(s):  
Dynamical Systems ◽  
Nonlinear System ◽  
Couple Stress ◽  
Fluid Layer ◽  
Kutta Method ◽  
Fluid Field ◽  
Runge Kutta Method ◽  
Chaotic Convection ◽  
Low Dimensional ◽  
Couple Stress Fluids

The effect of couple-stress fluid field on chaotic convection in a fluid layer heated from below was studied in this paper based on the theory of dynamical systems. A low-dimensional, Lorenz-like model was obtained using Galerkin truncated approximations. The fourth-order Runge–Kutta method was employed to solve the nonlinear system. The results show that inhibition of chaotic convection depends strongly on the couple-stress parameter.

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