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MATHEMATICAL MODELS OF MICROCONVECTION FOR ISOTHERMALLY INCOMPRESSIBLE AND WEAKLY COMPRESIBLE LIQUIDS

机译:等温不可压缩和弱可压缩液体微对数学模型

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The term "microconvection" was originally introduced to characterize non-solenoidal flows driven by density (depending on temperature only) changes. These phenomena were analyzed for thermal buoyancy-driven convection (Pukhnachov, 1991) and for diffusive-induced flows (Perera and Sekerka, 1997). The effect on non-solenoidality is equally important for the description of nonstationary convection in microgravity conditions and in microscales. Recently this approach was extended up to convective motions of a weakly compressible liquid (Pukhnachov, 2002). On the basis of the microconvection model, there are studied a number of problems describing the convection in a vertical layer with the thermal fluxes oscillating in a phase and in an anti-phase, flows in a circular ring and in a prolate rectangular, mixed thermocapillary/gravitational convection in a semicircle with a free flat boundary.
机译:术语“微控制”最初被引入以表征由密度驱动的非电磁流(根据温度仅取决于温度)的变化。分析了这些现象,用于热浮力驱动的对流(Pukhnachov,1991)和扩散诱导的流动(Perera和Sekerka,1997)。对非螺旋载体的影响对于微匍匐条件和微观的非子性对流的描述同样重要。最近这种方法延伸到弱可压缩液体的对流运动(Pukhnachov,2002)。在微控制模型的基础上,研究了一些问题,所述问题描述了在垂直层中的垂直层中的对流,其热助焊剂在相位和抗阶段中振荡,在圆环中流动,并且在恒定的矩形混合的热量/带有自由扁平边界的半圆中的重力对流。

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