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Transient free convection within air-filled hemispherical enclosures. Nu-Ra-Fo relationships for isothermal and inclined disk with dome oriented upwards

机译:充气半球形外壳内的瞬态自由对流。圆顶朝上的等温斜盘的Nu-Ra-Fo关系

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Purpose- Nusselt-Rayleigh-Fourier type correlations are proposed to quantify the temporal evolution of convective heat transfer occurring within air-filled hemispherical enclosures whose disk, initially at ambient temperature, is suddenly maintained at a higher temperature. The temperature difference imposed between this hot wall and the isothermal cold dome involves Rayleigh number varying between 10~4 and 2.55 × 10~(12). Depending on the application, the disk can be inclined with respect to the horizontal plane by an angle varying between 0° (horizontal disk) and 90° (vertical disk) in steps of 15°. The paper aims to discuss these issues. Design/methodology/approach- The results are obtained by means of a numerical approach based on the finite volume method. The proposed correlations linked to the steady state Nusselt-Rayleigh internships recently published, concerning the same inclination angle and Rayleigh ranges. Findings- The statistical analysis of a large number of calculations leads to reliable results covering laminar, transitional and turbulent natural convection heat transfer zones. Practical implications- The proposed relationships can be applied in several engineering fields such as nuclear technology, solar energy, security and safety electronics, building, domotics or aeronautics. Originality/value- The new relationships proposed in this paper provide important information on the evolution of convective heat transfer during the transient regime.
机译:提出了目的Nusselt-Rayleigh-Fourier类型相关性,以量化在空气填充的半球形外壳中发生的对流传热的时间演变,该外壳最初在环境温度下会突然保持在较高的温度下。该热壁与等温冷圆顶之间施加的温度差涉及瑞利数,介于10〜4和2.55×10〜(12)之间。根据不同的应用,圆盘可以相对于水平面倾斜一个角度,范围为0°(水平盘)和90°(垂直盘),间隔为15°。本文旨在讨论这些问题。设计/方法/方法-通过基于有限体积法的数值方法获得结果。建议的相关性与最近发表的稳态Nusselt-Rayleigh实习相关,涉及相同的倾角和Rayleigh范围。研究结果-对大量计算的统计分析得出可靠的结果,包括层流,过渡和湍流自然对流换热区。实际意义-提议的关系可以应用于多个工程领域,例如核技术,太阳能,安全和安全电子,建筑,航空航天或航空航天。原创性/价值-本文提出的新关系为瞬态过程中对流换热的演变提供了重要信息。

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