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Natural convection flow in a vertical annulus with time-periodic thermal boundary conditions
Propulsion and Power Research ( IF 5.3 ) Pub Date : 2019-02-13 , DOI: 10.1016/j.jppr.2018.12.002
BasantK. Jha , MichaelO. Oni

This paper presents an analytical solution for natural convection flow in a vertical annulus due to time-periodic heating of annulus surfaces. Closed-form expressions for velocity, temperature, skin-friction, mass flow rate and rate of heat transfer which is expressed as Nusselt number are obtained by solving the present mathematical model after separating into steady component and periodic regime. The effects of pertinent parameters such as Strouhal number (St), Prandtl number (Pr) and radius ratio (λ) are shown with the aid of contour and line graphs. Results indicate that the role of Strouhal number and Prandtl number is to decrease fluid velocity, temperature and skin-friction. Furthermore, increase in Strouhal number increases the temperature phase-lag.



中文翻译:

具有时间周期热边界条件的垂直环空中的自然对流

本文提出了一种由于环表面时间周期加热而导致的垂直环空自然对流流动的解析解。通过将当前的数学模型分解成稳态分量和周期形式后,通过求解本数学模型,可以获得速度,温度,皮肤摩擦,质量流率和热传递率的闭合形式,表示为努塞尔特数。相关参数如Strouhal数的影响,Prandtl号 和半径比 λ借助轮廓图和折线图显示。结果表明,斯特劳哈尔数和普朗特数的作用是降低流体速度,温度和皮肤摩擦。此外,斯特劳哈尔数的增加会增加温度相位滞后。

更新日期:2019-02-13
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