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        "key": "KPKUQAUG",
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        "library": {
            "type": "group",
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        "data": {
            "key": "KPKUQAUG",
            "version": 7,
            "itemType": "bookSection",
            "title": "Non-Newtonian Fluid Heat Transfer in Porous Media",
            "creators": [
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                    "creatorType": "author",
                    "firstName": "A.V.",
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            "abstractNote": "A review of the developments in the field of heat transfer in non-Newtonian fluids flowing through porous media. The chapter focuses on non-Newtonian-fluid heat transfer in porous media and reviews the existing literature, the number of citations in which has rapidly grown reaching a sizable number on the topic. The existing body of information covers most of the relevant Darcy and non-Darcy situations in boundary layer and confined flows. Heat transfer in porous media is of great pragmatic importance in a wide variety of scientific and engineering applications, as can be seen from some of the applications summarized in the chapter. The chapter presents pure Darcy natural-convection boundary-layer problem for flow past an isothermal vertical flat plate, a nonisothermal smooth surface of arbitrary shape, and a nonuniform horizontal flat plate embedded in a porous medium saturated with an Ostwald-de Waele power-law fluid. The problem of pure Darcy natural-convection boundary-layer flow past an isothermal vertical flat plate embedded in a porous medium saturated with a Herschel-Bulkley fluid—namely, a pseudoplastic fluid with yield stress is discussed. The problem of pure Darcy natural-convection boundary-layer flow past an isothermal vertical flat plate embedded in a porous medium saturated with an elastic Boger fluid with constant viscosity is discussed. The chapter presents pure Darcy mixed-convection boundary-layer problem for flow past an isothermal vertical flat plate and a nonisothermal smooth surface of arbitrary shape embedded in a porous medium saturated with an Ostwald-de Waele power-law fluid. The problem of pure Darcy mixed-convection boundary-layer flow past an isothermal vertical flat plate embedded in a porous medium saturated with an elastic Boger fluid with constant viscosity is presented. The chapter presents some more additional topics on steady-state convection. Nonsteady state convections based on pure Darcy regime are discussed.",
            "bookTitle": "Advances in Heat Transfer",
            "series": "",
            "seriesNumber": "",
            "volume": "24",
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            "edition": "",
            "date": "1994",
            "publisher": "Elsevier",
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            "pages": "101-190",
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            "tags": [
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                    "tag": "Combined convection"
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                {
                    "tag": "Natural Convection"
                },
                {
                    "tag": "forced convection"
                },
                {
                    "tag": "free convection"
                },
                {
                    "tag": "heat transfer"
                },
                {
                    "tag": "mixed convection"
                },
                {
                    "tag": "non-Newtonian fluids"
                },
                {
                    "tag": "porous medium"
                },
                {
                    "tag": "power-law fluids"
                },
                {
                    "tag": "transport in porous media"
                }
            ],
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        "data": {
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            "itemType": "journalArticle",
            "title": "Non-darcy forced convective heat transfer in a channel embedded in a non-newtonian inelastic fluid-saturated porous medium",
            "creators": [
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                    "creatorType": "author",
                    "firstName": "A.",
                    "lastName": "Nakayama"
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                    "creatorType": "author",
                    "firstName": "A. V.",
                    "lastName": "Shenoy"
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            "abstractNote": "The present analysis investigates non-Darcy forced convective heat transfer in a channel confined by two parallel walls subjected to uniform heat flux in a highly porous medium saturated with a non-Newtonian power-law fluid. Extensive numerical integrations have been carried out utilizing the Brinkman-Forchheimer extension of the Darcy model in order to study the effects of pseudoplasticity, and Brinkman and Forchheimer terms on the heat transfer characteristics.On étudie dans la présente anaiyse le transfert de chaleur par convection forcée (ne correspondant pas au régime de Darcy) dans un canal comportant deux parois parallèles soumis à un flux de chaleur uniforme dans un milieu haute- ment poreux avec un fluide non newtonien de type loi de puisance. On a effectué des intégrations numériques extensives en utilisant l'extension du modèle de Darcy de Brinkman-Forchheimer afin d'étudier les effets de la pseudoplasticité, ainsi que les termes de Brinkman et Forchheimer sur les caractéristiques du transfert de chaleur.",
            "publicationTitle": "The Canadian Journal of Chemical Engineering",
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            "place": "",
            "date": "02/1993",
            "volume": "71",
            "issue": "1",
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            "pages": "168-173",
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            "DOI": "10.1002/cjce.5450710122",
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            "tags": [
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                    "tag": "Brinkman-Forchheimer"
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                {
                    "tag": "forced convection"
                },
                {
                    "tag": "heat transfer"
                },
                {
                    "tag": "inelastic fluids"
                },
                {
                    "tag": "non-Darcy"
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                {
                    "tag": "non-Newtonian fluids"
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                    "tag": "porous medium"
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        "data": {
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            "itemType": "journalArticle",
            "title": "Forced convection heat transfer to an elastic fluid of constant viscosity flowing through a channel filled with a Brinkman-Darcy porous medium",
            "creators": [
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                    "creatorType": "author",
                    "firstName": "A. V.",
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            "abstractNote": "An analysis is presented of fully developed flow and heat transfer in a channel confined by two parallel walls subjected to uniform heat flux in a highly porous medium saturated with an elastic fluid of constant viscosity. The Brinkman-extended Darcy model is used for studying the effect of the boundary viscous frictional drag on the heat transfer characteristics. The approximate integral method is employed to obtain a solution.Die Untersuchung bezieht sich auf die voll ausgebildete Strmung und den Wrmebergang in einem von zwei parallelen Wnden begrenzten Kanal bei konstantem Wrmeflu am Rande. Der Kanalraum wird von einem hochporsem Medium ausgefllt, das mit einem elastischen Fluid konstanter Zhigkeit getrnkt ist. Der Einflu des Reibungswiderstandes an den Kanalgrenzen auf das Wrmebertragungsverhalten wird mit Hilfe des von Brinkman erweiterten Darcy-Transportgesetzes ermittelt. Die Lsung erfolgte unter Anwendung eines nherungsweisen gltigen Integralverfahrens",
            "publicationTitle": "W�rme- und Stoff�bertragung",
            "publisher": "",
            "place": "",
            "date": "5/1993",
            "volume": "28",
            "issue": "5",
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            "partNumber": "",
            "partTitle": "",
            "pages": "295-297",
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            "tags": [
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                    "tag": "constant viscosity"
                },
                {
                    "tag": "elastic fluid"
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                {
                    "tag": "forced convection"
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                {
                    "tag": "friction drag"
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                {
                    "tag": "heat transfer"
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                    "tag": "porous medium"
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            "itemType": "journalArticle",
            "title": "Darcy natural, forced and mixed convection heat transfer from an isothermal vertical flat plate embedded in a porous medium saturated with an elastic fluid of constant viscosity",
            "creators": [
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                    "creatorType": "author",
                    "firstName": "A.V.",
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            "abstractNote": "The governing equation for Darcy flow of elastic fluids with constant viscosity has been derived from first principles and presented for the first time in the literature. The problem of Darcy natural, forced and mixed convection from an isothermal vertical flat plate within a porous medium saturated with an elastic fluid of constant viscosity has been solved using the approximate integral method and similarity solutions have been obtained. The results have been compared for the limiting cases with exact solutions existing in the literature and found to agree within a maximum error bound.",
            "publicationTitle": "International Journal of Engineering Science",
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            "place": "",
            "date": "4/1992",
            "volume": "30",
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            "pages": "455-467",
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            "journalAbbreviation": "",
            "DOI": "10.1016/0020-7225(92)90037-H",
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            "url": "http://linkinghub.elsevier.com/retrieve/pii/002072259290037H",
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            "tags": [
                {
                    "tag": "Darcy forced convection"
                },
                {
                    "tag": "Darcy mixed convection"
                },
                {
                    "tag": "Darcy natural convection"
                },
                {
                    "tag": "Natural Convection"
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                    "tag": "constant viscosity"
                },
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                    "tag": "elastic fluid"
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                    "tag": "porous medium"
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            "title": "Darcy-Forchheimer natural, forced and mixed convection heat transfer in non-Newtonian power-law fluid-saturated porous media",
            "creators": [
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                    "firstName": "A. V.",
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            "abstractNote": "The governing equation for Darcy-Forchheimer flow of non-Newtonian inelastic power-law fluid through porous media has been derived from first principles. Using this equation, the problem of Darcy-Forchheimer natural, forced, and mixed convection within the porous media saturated with a power-law fluid has been solved using the approximate integral method. It is observed that a similarity solution exists specifically for only the case of an isothermal vertical flat plate embedded in the porous media. The results based on the approximate method, when compared with existing exact solutions show an agreement of within a maximum error bound of 2.5%.",
            "publicationTitle": "Transport in Porous Media",
            "publisher": "",
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            "date": "6/1993",
            "volume": "11",
            "issue": "3",
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            "pages": "219-241",
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            "DOI": "10.1007/BF00614813",
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            "tags": [
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                    "tag": "Darcy-Forchheimer"
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                    "tag": "Natural Convection"
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                    "tag": "forced convection"
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                {
                    "tag": "heat transfer"
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                    "tag": "mixed convection"
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            "title": "Combined forced and free convection heat transfer in power-law fluid-saturated porous media",
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                    "firstName": "A.",
                    "lastName": "Nakayama"
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            "abstractNote": "The problem of combined forced and free convection heat transfer in power-law fluid-saturated porous media has been solved using the boundary layer approximations. A modified Peclet number based on the slip velocity at the wall has been introduced in order to uniquely transform the governing equations for all convection regimes, namely, the pure forced convection regime, mixed convection regime and pure free convection regime. Possible similarity solutions are presented for vertical flat plates, cones, horizontal cylinders and spheres. It is found that the velocity close to the wall is comparatively higher for pseudoplastic fluids than for the Newtonian and dilatant fluids at the same external velocity, thus leading to a substantial heat transfer enhancement in the mixed convection regime.",
            "publicationTitle": "Applied Scientific Research",
            "publisher": "",
            "place": "",
            "date": "1/1992",
            "volume": "50",
            "issue": "1",
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            "pages": "83-95",
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            "DOI": "10.1007/BF01086454",
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            "tags": [
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            "itemType": "journalArticle",
            "title": "A unified similarity transformation for Darcy and non-Darcy forced-, free- and mixed-convection heat transfer in non-newtonian inelastic fluid-saturated porous media",
            "creators": [
                {
                    "creatorType": "author",
                    "firstName": "A.",
                    "lastName": "Nakayama"
                },
                {
                    "creatorType": "author",
                    "firstName": "A.V.",
                    "lastName": "Shenoy"
                }
            ],
            "abstractNote": "A unified similarity transformation has been proposed which can deduce a class of possible similarity solutions during forced-, free- and mixed-convection flow of non-newtonian inelastic fluids through porous media under Darcy and non-Darcy conditions. The velocity scale using the slip velocity at the wall under mixed-convection flow has been utilized for generating a modified Peclet number which correctly transforms to the appropriate Peclet and Rayleigh numbers under limiting conditions. The unified approach is seen to reveal the existence of three limiting regimes lined by forced convection, Darcy free convection and Forchheimer free convection together with three intermediate regimes of Darcy mixed convection, Darcy-Forchheimer free convection and Forchheimer mixed convection. Exact solutions have been found for each of the regimes and the effects of non-newtonian character on the heat transfer characteristics have been deciphered.",
            "publicationTitle": "The Chemical Engineering Journal",
            "publisher": "",
            "place": "",
            "date": "10/1992",
            "volume": "50",
            "issue": "1",
            "section": "",
            "partNumber": "",
            "partTitle": "",
            "pages": "33-45",
            "series": "",
            "seriesTitle": "",
            "seriesText": "",
            "journalAbbreviation": "",
            "DOI": "10.1016/0300-9467(92)80004-T",
            "citationKey": "",
            "url": "http://linkinghub.elsevier.com/retrieve/pii/030094679280004T",
            "accessDate": "2014-10-17T15:34:01Z",
            "PMID": "",
            "PMCID": "",
            "ISSN": "03009467",
            "archive": "",
            "archiveLocation": "",
            "shortTitle": "",
            "language": "en",
            "libraryCatalog": "CrossRef",
            "callNumber": "",
            "rights": "",
            "extra": "",
            "tags": [
                {
                    "tag": "Darcy flow"
                },
                {
                    "tag": "Natural Convection"
                },
                {
                    "tag": "forced convection"
                },
                {
                    "tag": "free convection"
                },
                {
                    "tag": "inelastic fluids"
                },
                {
                    "tag": "mixed convection"
                },
                {
                    "tag": "non-Darcy flow"
                },
                {
                    "tag": "non-Newtonian fluids"
                },
                {
                    "tag": "similarity transformation"
                },
                {
                    "tag": "transport in porous media"
                },
                {
                    "tag": "unification"
                }
            ],
            "collections": [],
            "relations": {},
            "dateAdded": "2014-11-03T23:52:00Z",
            "dateModified": "2014-11-03T23:52:00Z"
        }
    }
]