Computer simulation of thermal convection in Rayleigh-Bénard cell ...

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Hubert Jopek Computer simulation of thermal convection in Rayleigh-Bénard cell are determined by the sign of velocity as a result of increasing or decreasing fluid in the centre of the cell. Mainly g-cells appear in gasses (that is the reason why the name is g-cell) and the l-cells can be observed in liquids (so the name is l- cells). Fig 7.1: Schematic diagram of convection cells (a) two-dimensional rolls. (b) Hexagonal l- and g-cells. 38
Hubert Jopek Computer simulation of thermal convection in Rayleigh-Bénard cell Chapter 8: Conclusions The results of the simulation show the different kind of behaviour of the fluid flow. The Lorenz model of convection provides both the oscillatory fluid motion of damped amplitude which tends to the stable state, and the non-periodical chaotic fluid behaviour. On the other hand the simulation of convection phenomena were presented using the fluid dynamics software. These results are similar to the previous results, which is a good sign that the Lorenz model can be used as a description of convection when the quite simple example is considered. The Lorenz model is only appropriate for the small Rayleigh numbers when the temperature difference is small enough. The results of the simulation proved that the precision of the numerical calculation have the significant influence on the solution accuracy and reliability. It is essential part of analysis of chaotic systems. The Rayleigh-Bénard convection is also an example of self-organization which is a very interesting feature of some chaotic systems. The phenomenon is based on the fact that the system which is far from the equilibrium state manifests highly ordered structure. 39
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Computer simulation of thermal convection in Rayleigh-Bénard cell ...

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