Modelling of heat transfer at the wall of a packed-bed apparatus

Tobiś, Jan; Ziółkowski, D.

doi:10.1016/0009-2509(88)80056-3

Cited by 31 publications

(22 citation statements)

References 4 publications

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“…Yagi and Kunii (1961) elaborated on their earlier ideas of a discontinuous boundary layer to obtain: where α = 2.6 for liquids and 4.0 for gases. Note that a later development (Tobis and Ziolkowski, 1988) generalised this theory and unified the results for both gases and liquids. For Nu w0 Yagi and Kunii (1961) adapted their earlier stagnant conductivity model (Yagi and Kunii, 1957) assuming a near‐wall thickness of d p /2 and taking near‐wall voidage ε w = 0.7.…”

Section: Wall Heat Transfer Coefficientmentioning

confidence: 65%

“…Despite the existence of the more general mechanistic formula, further studies have reinforced the idea that h w = h w0 + a Re b or sometimes simply h w = a Re b alone (Specchia et al, 1980; Ziolkowski and Legawiec, 1987; Peters et al, 1988; Borkink and Westerterp, 1992; Martin and Nilles, 1993; Bey and Eigenberger, 2001). The formula of Yagi and Kunii (1960) was re‐visited by Tobis and Ziolkowski (1988), but their main interest was in ${\rm Nu}_{{\rm w}}^{*} $ , as they began a line of research in which only the film coefficient $h_{{\rm w}}^{*} $ was retained in the wall boundary condition. Nevertheless, they showed that using Equation (19) with a reasonable range of values of Nu w0 could account for much of the spread in Nu w , as shown in Figure 9.…”

Section: Wall Heat Transfer Coefficientmentioning

confidence: 99%

“…It has been postulated (Yagi and Kunii, 1960; Tobis and Ziolkowski, 1988) that near the wall of a fixed bed there is increased resistance to heat transfer, caused by: an increase in void fraction giving a decrease in bed thermal conductivity; …”

Section: Introductionmentioning

confidence: 99%

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Small angle X‐ray scattering as a complementary tool for high‐throughput structural studies

et al. 2011

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Structural crystallography and Nuclear Magnetic Resonance (NMR) spectroscopy are the predominant techniques for understanding the biological world on a molecular level. Crystallography is constrained by the ability to form a crystal that diffracts well and NMR is constrained to smaller proteins. While powerful techniques they leave many soluble, purified protein samples structurally uncharacterized. Small Angle X-ray Scattering (SAXS) is a solution technique that provides data on the size and multiple conformations of a sample, and can be used to reconstruct a low resolution molecular envelope of a macromolecule. In this study SAXS has been used in a high-throughput manner on a subset of 28 proteins where structural information is available from crystallographic and/or NMR techniques. These crystallographic and NMR structures were used to validate the accuracy of molecular envelopes reconstructed from SAXS data on a statistical level, to compare and highlight complementary structural information that SAXS provides, and to leverage biological information derived by crystallographers and spectroscopists from their structures. All of the ab initio molecular envelopes calculated from the SAXS data agree well with the available structural information. SAXS is a powerful albeit low-resolution technique that can provide additional structural information in a high-throughput and complementary manner to improve the functional interpretation of high-resolution structures.

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Section: Wall Heat Transfer Coefficientmentioning

confidence: 65%

Section: Wall Heat Transfer Coefficientmentioning

confidence: 99%

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Small angle X‐ray scattering as a complementary tool for high‐throughput structural studies

et al. 2011

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“…The observed variation in porosity discussed in section 2.12, along with a prescription of D.J..(x), has been used by Cheng and Rsu (1986a,b), Cheng and Zhu (1987), and . A similar approach is used by Tobis and Ziolkowski (1988).…”

Section: Models Based On Mixing-length Theorymentioning

confidence: 99%

Principles of Heat Transfer in Porous Media

Kaviany

1991

Mechanical Engineering Series

824

752

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except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use of general descriptive names, trade names, trademarks, etc., in this publication, even if the former are not especially identified, is not to be taken as a sign that such names, as understood by the Trade Marks and Merchandise Marks Act, may accordingly be used freely by anyone.Camera-ready copy prepared from the author's LaTeX file. 987654321 To my parents Farideh and Morad Series PrefaceMechanical engineering, an engineering discipline born of the needs of the industrial revolution, is once again asked to do its substantial share in the call for in dust rial renewal. The general call is urgent as we face profound issues of productivity and competitiveness that require engineering solutions, among others. The Mechanical Engineering Series is a new series, featuring graduate texts and research monographs, intended to address the need for information in contemporary areas of mechanical engineering.The series is conceived as a comprehensive one that will cover a broad range of concentrations important to mechanical engineering graduate education and research. We are fortunate to have a distinguished roster of consulting editors, each an expert in one of the areas of concentration. The names of the consulting editors are listed on the first page of the volume. PrefaceThis monograph aims at providing, through integration of available theoretical and empirical treatments, the differential conservation equations and the associated constitutive equations required for the analysis of transport in porous media. Although the empirical treatment of fluid flow and heat transfer in porous media is over a century old, only in the last three decades has the transport in these heterogeneous systems been addressed in sufficient detail. So far, single-phase flow and heat transfer in porous media have been treated or at least formulated satisfactorily. But the subject of two-phase flow and the related he at transfer in porous media is still in its infancy. This monograph identifies the pr in ci pIes of transport in porous media, reviews the available rigorous treatments, and whenever possible compares the available predictions, based on these theoretical treatments of various transport mechanisms, with the existing experimental results. The theoretical treatment is based on the local volume-averaging of the momentum and energy equations with the closure conditions necessary for obtaining solutions. While emphasizing abasie understanding of heat transfer in porous media, the monograph does not ignore the need for the predictive tools. Therefore, whenever a rigorous theoretical treatment of a phenomenon is not available, semiempirical and empirical treatments are given.The monograph is divided into two parts: part 1 deals with single-phase flows and part 2...

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“…The flow state is divided into: Darcy flow: Re <1; Inertial flow: 1<Re<150; Unstable laminar flow: 150 <Re <300; and Turbulent flow: Re> 300 (Jolls & Hanratty 1966;Tobiś & Ziółkowski 1988). For the heat transfer characteristics, Wakao and Funazkri (1978) summarized the convective heat transfer criterion formula inside the packed bed: Nu = 2 + 1.1Pr…”

Section: Halaju Bekalan Udara Adalah Faktor Penting Yang Mempengaruhimentioning

confidence: 99%

Influence of Air Supply Velocity on Temperature Field in the Self Heating Process of Coal

Song¹,

Wang²,

Liang³

et al. 2017

JSM

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Modelling of heat transfer at the wall of a packed-bed apparatus

Cited by 31 publications

References 4 publications

Small angle X‐ray scattering as a complementary tool for high‐throughput structural studies

Small angle X‐ray scattering as a complementary tool for high‐throughput structural studies

Principles of Heat Transfer in Porous Media

Influence of Air Supply Velocity on Temperature Field in the Self Heating Process of Coal

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