封装在完美质体中的超疏水性固体球体的努塞尔特数相关性

IF 16.4 1区 化学 Q1 CHEMISTRY, MULTIDISCIPLINARY
Zavier Berti, M. R. Flynn
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引用次数: 0

摘要

众所周知,表面附着的气泡具有润滑(即减少阻力)的作用,但它们对抑制热传递的作用却不甚了解。本理论研究考虑了固体球体周围的斯托克斯流,并使用匹配的渐近展开来估算厚度均匀的封装空气层所提供的隔热程度。我们分析的关键是根据空气层厚度和周围液体(此处假定为水)的佩克莱特数(\(\text{ Pe}_w\) )推导出努塞尔特数的表达式。后一个参数表征了从平流到扩散的热传输,我们假设它很小,这样我们的零阶和一阶求解分别与 \(\text{ Pe}_w^0\) 和 \(\text{ Pe}_w^1\) 成比例。虽然小的 \(\text{ Pe}_w\) 有利于小的自由流速度,但只有当自由流速度(和/或实心球半径)超过某个临界值时,强制对流才会比自然对流占优势。这一要求限制了求解空间;另一方面,将我们的分析推广到考虑水和空气以外的流体对也很简单。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

A Nusselt number correlation for a superhydrophobic solid sphere encapsulated in a perfect plastron

A Nusselt number correlation for a superhydrophobic solid sphere encapsulated in a perfect plastron

Surface-attached air bubbles are known to provide lubricating (i.e., drag reducing) benefits but their contribution to inhibiting heat transfer is not as well understood. The present theoretical study considers Stokes flow around a solid sphere and uses matched asymptotic expansions to estimate the degree of thermal insulation offered by an encapsulating air layer of uniform thickness. Key to our analysis is to derive an expression for the Nusselt number in terms of the air layer thickness and the Péclet number, \(\text{ Pe}_w\), of the surrounding liquid, here assumed to be water. This latter parameter, which characterizes advective to diffusive heat transport, is assumed to be small such that our zeroth- and first-order solutions are, respectively, proportional to \(\text{ Pe}_w^0\) and \(\text{ Pe}_w^1\). Although small \(\text{ Pe}_w\) favors small free stream velocities, forced convection will dominate over natural convection only if the free stream velocity (and/or the solid sphere radius) exceeds a certain threshold. This requirement constrains the solution space; on the other hand, it is straightforward to generalize our analysis so that it considers fluid pairs other than water and air.

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来源期刊
Accounts of Chemical Research
Accounts of Chemical Research 化学-化学综合
CiteScore
31.40
自引率
1.10%
发文量
312
审稿时长
2 months
期刊介绍: Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.
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