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首页> 外文期刊>International Journal of Heat and Fluid Flow >Absolute and convective instability of a liquid sheet with transverse temperature gradient
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Absolute and convective instability of a liquid sheet with transverse temperature gradient

机译：具有横向温度梯度的液体片的绝对和对流不稳定性

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摘要

The spatial-temporal instability behavior of a viscous liquid sheet with temperature difference between the two surfaces was investigated theoretically. The practical situation motivating this investigation is liquid sheet heated by ambient gas, usually encountered in industrial heat transfer and liquid propellant rocket engines. The existing dispersion relation was used, to explore the spatial-temporal instability of viscous liquid sheets with a nonuniform temperature profile, by setting both the wave number and frequency complex. A parametric study was performed in both sinuous and varicose modes to test the influence of dimensionless numbers on the transition between absolute and convective instability of the flow. For a small value of liquid Weber number, or a great value of gas-to-liquid density ratio, the flow was found to be absolutely unstable. The absolute instability was enhanced by increasing the liquid viscosity. It was found that variation of the Marangoni number hardly influenced the absolute instability of the sinuous mode of oscillations; however it slightly affected the absolute instability in the varicose mode.
机译：从理论上研究了两个表面之间存在温差的粘性液体片的时空不稳定性行为。促使这一研究的实际情况是在工业传热和液体推进剂火箭发动机中经常遇到的由环境气体加热的液体薄片。通过设置波数和频率复数，使用现有的色散关系来探索具有不均匀温度曲线的粘性液体片材的时空不稳定性。在正弦和静脉曲张模式下都进行了参数研究，以测试无因次数对流动的绝对和对流不稳定性之间的过渡的影响。对于较小的液体韦伯值或较大的气液密度比值，发现流量绝对不稳定。通过增加液体粘度可以提高绝对不稳定性。已经发现，Marangoni数的变化几乎不会影响正弦振荡模式的绝对不稳定性。但是，它稍微影响了在静脉曲张模式下的绝对不稳定性。

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