重力调节对带有热源的垂直流体层中平面平行对流稳定性的影响

IF 1.3 4区 工程技术 Q2 ENGINEERING, AEROSPACE
T. P. Lyubimova, E. O. Lobova
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引用次数: 0

摘要

本文主要研究在调制重力场中,带有均匀分布热源的垂直流体层中平面平行流动的稳定性。流体层边界是刚性的,并保持恒温。重力假设为垂直重力,由平均和正弦调制("抖动")组成。这个问题的具体特点是,在没有调制的情况下,普朗特数为零时,基态的正常模式扰动递减为复值,流体力学不稳定模式由游动扰动(逆流边界的游动旋涡)引起。随着普朗特数的增加,不稳定模式从逆流的流体动力不稳定转变为不断增长的热波。在存在重力调制的情况下,基流是与无调制时相同的静止流和时间周期流的叠加。通过对小扰动线性化方程的数值求解,研究了这种基态的线性稳定性。关于扰动时间演变的数值数据用于确定不同普朗特数值下的扰动衰减和不稳定边界。计算证实,所有扰动都是准周期性的。确定了调制产生稳定或失稳效应的参数范围。发现了低频范围内基底流的急剧稳定,并解释了中性曲线随频率降低而发生的变化,包括瓶颈的形成、分成两个不稳定区域(格拉肖夫数值较低时的流体力学不稳定孤立区域和格拉肖夫数值较高时的热波不稳定袋形区域)、流体力学不稳定区域的缩小和热波不稳定区域的上移以及流体力学不稳定孤立区域的消失。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

The Influence of Gravity Modulation on a Stability of Plane-Parallel Convective Flow in a Vertical Fluid Layer with Heat Sources

The Influence of Gravity Modulation on a Stability of Plane-Parallel Convective Flow in a Vertical Fluid Layer with Heat Sources

This paper is devoted to the investigation of the stability of plane-parallel flow in a vertical fluid layer with uniformly distributed heat sources in modulated gravity field. The layer boundaries are rigid and maintained at equal constant temperatures. Gravity is assumed to be vertical and consisting of both mean and sinusoidal modulation (‘jitter’). Specific feature of this problem is that in the absence of modulation, at zero Prandtl number, the decrements of normal-mode perturbations of the base state are complex-valued and hydrodynamic instability mode is caused by travelling perturbations (travelling vortices at the boundaries of counter flows). With the increase in Prandtl number the instability mode changes from hydrodynamic instability of the counter flows to growing thermal waves. In the presence of gravity modulation, the base flow is the superposition of the same stationary flow as in the absence of modulation and time-periodic flow. The linear stability of this base state is studied by the numerical solution of the linearized equations of small perturbations. Numerical data on temporal evolution of perturbations are used to determine the decrements of perturbations and instability boundaries at different values of the Prandtl number. The calculations confirm that all perturbations are quasi-periodic. Parameter ranges where modulation makes stabilizing or destabilizing effect are defined. Sharp stabilization of the base flow in low-frequency range is discovered and explained by transformation of the neutral curves with the decrease of frequency which incleds formation of a bottleneck, break into two instability regions (the isolated region of hydrodynamic instability at lower Grashof number values and bag-shaped region of thermal wave instability at higher Gr), decrease in the size of the hydrodynamic instability region and shift upward of the thermal wave instability region and vanishing the isolated region of hydrodynamic instability.

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来源期刊
Microgravity Science and Technology
Microgravity Science and Technology 工程技术-工程:宇航
CiteScore
3.50
自引率
44.40%
发文量
96
期刊介绍: Microgravity Science and Technology – An International Journal for Microgravity and Space Exploration Related Research is a is a peer-reviewed scientific journal concerned with all topics, experimental as well as theoretical, related to research carried out under conditions of altered gravity. Microgravity Science and Technology publishes papers dealing with studies performed on and prepared for platforms that provide real microgravity conditions (such as drop towers, parabolic flights, sounding rockets, reentry capsules and orbiting platforms), and on ground-based facilities aiming to simulate microgravity conditions on earth (such as levitrons, clinostats, random positioning machines, bed rest facilities, and micro-scale or neutral buoyancy facilities) or providing artificial gravity conditions (such as centrifuges). Data from preparatory tests, hardware and instrumentation developments, lessons learnt as well as theoretical gravity-related considerations are welcome. Included science disciplines with gravity-related topics are: − materials science − fluid mechanics − process engineering − physics − chemistry − heat and mass transfer − gravitational biology − radiation biology − exobiology and astrobiology − human physiology
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