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Controllable equilibrium of an inhomogeneously heated liquid in a vibrational field

机译:振动场中非均匀加热液体的可控平衡

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摘要

Equations of thermal vibrational convection of an inhomogeneously heated liquid are analytically solved for arbitrary orientation of vectors determining the heating direction, force of gravity, and vibrations in a closed cavity in the shape of an infinite horizontal cylinder. It is demonstrated that for any orientation of these vectors in the plane perpendicular to the cylinder, the gravitational and vibrational convection mechanisms can completely compensate each other. The ratio is determined between the vibrational and the gravitational Grashof numbers such that mechanical equilibrium conditions are satisfied. This ratio is proved by direct numerical calculation of complete equations of thermal vibrational convection.
机译:对于矢量的任意方向,可以解析求解非均匀加热液体的热振动对流方程,从而确定加热方向,重力和无限水平圆柱体形状的封闭腔中的振动。已经证明,对于这些矢量在垂直于圆柱体的平面中的任何方向,重力和振动对流机制可以完全相互补偿。确定振动和重力格拉斯霍夫数之间的比率,以便满足机械平衡条件。通过直接数值计算完整的热振动对流方程可以证明该比率。

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