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Magnetic field and throughflow effects on double-diffusive convection in internally heated anisotropic porous media

机译:磁场和通流对内部加热的各向异性多孔介质中双扩散对流的影响

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摘要

A model for double-diffusive convection in an anisotropic porous layer with a constant throughflow is explored, with penetrative convection being simulated via an internal heat source and subjected to a vertical magnetic field and variable gravity effect. The validity of both the linear instability and global nonlinear stability thresholds are tested using three dimensional simulation. Our results show that the linear theory produce a good prediction on the onset of instability in the steady state throughflow. It is known that as Rc increases the onset of convection is more likely to be via oscillatory convection as opposed to steady convection, and the three dimensional simulation results show that as Rc increases, the actual threshold moving toward the nonlinear stability threshold and the behaviour of the perturbation of the solutions becomes more oscillated.
机译:探索了具有恒定通流的各向异性多孔层中双扩散对流的模型,其中渗透对流通过内部热源进行模拟,并受到垂直磁场和可变重力作用。使用三维模拟测试了线性不稳定性阈值和全局非线性稳定性阈值的有效性。我们的结果表明,线性理论对稳态通流中的不稳定性开始有很好的预测。众所周知,随着Rc增加,对流的发生更可能是通过振荡对流而不是稳定对流,并且三维模拟结果表明,随着Rc的增加,实际阈值朝着非线性稳定阈值方向移动,并且溶液的扰动变得更加振荡。

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