A new description for dispersion

Chang, Shih-Hsien; Slattery, John C.

doi:10.1007/bf00138614

Cited by 10 publications

(3 citation statements)

References 23 publications

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“…Then, by applying the boundary eonditions (3.9)-(3.10), the loeal volume-averaged energy equation beeomes 120 3. Conduction Heat Transfer Slattery (1981, p.408 and p.413) and Chang and Slattery (1988) discuss the modeling of the last term using some symmetry arguments and dimensional analyses. Nozad et al (1985) proceed with a set of c/osure constitutive equations given by…”

Section: Aj'mentioning

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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Section: Aj'mentioning

confidence: 99%

Principles of Heat Transfer in Porous Media

Kaviany

1991

Mechanical Engineering Series

824

752

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“…(3.22) Slattery (1981, pp. 408 and 413) and Chang and Slattery (1988) discuss the modeling of the last term using some symmetry arguments and dimensional analyses. Nozad et al (1985) proceed with a set of closure constitutive equations (or tranformations) given by…”

Section: Local Volume Averaging For Periodic Structuresmentioning

confidence: 99%

Conduction Heat Transfer

Kaviany¹

1995

Mechanical Engineering Series

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“…The advantage of this simplified model is that it contains only two empirical parameters, both of which can be determined in one-dimensional experiments. Using the data currently available, Chang and Slattery (1988b) were not able to distinguish between these two models. Chang and Slattery (1988c) have performed a linear stability analysis for downward miscible displacement following the approach of Chang and Slattery (1986).…”

Section: Introductionmentioning

confidence: 99%

The effect of dispersion model on the linear stability of miscible displacement in porous media

Chang

Slattery

1989

Transp Porous Med

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Slattery (1986, 1988b) introduced a simplified model of dispersion that contains only two empirical parameters. The traditional model of dispersion (Nikolaevskii, 1959;Bear, 1961;Scheidegger, 1961;de Josselin de Jong and Bossen, 1961;Peaceman, 1966;Bear, 1972) has three empirical parameters, two of which can be measured in one-dimensional experiments while the third, the transverse dispersivity, must" be measured in experiments in which a two-dimensional concentration profile develops. It is found that nearly the same linear stability behavior results from using either model.

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A new description for dispersion

Cited by 10 publications

References 23 publications

Principles of Heat Transfer in Porous Media

Principles of Heat Transfer in Porous Media

Conduction Heat Transfer

The effect of dispersion model on the linear stability of miscible displacement in porous media

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