1 Introduction
Granular and powdery products are often treated in contact equipment of various geometrical configurations (tray, paddle, drum, etc.). Heat transfer from the wall of the apparatus to the bed, or vice versa, is essential for this kind of processing and will, therefore, be discussed in the present chapter. Immersed surfaces such as the shaft of stirring devices may be used additionally to the apparatus wall for heating or cooling. Modelling of heat transfer will be presented in Sects. 2–5 on the basis of a model that considers the bed of particles as one continuous phase. This is usually called the penetration model. The heat exchanged between the wall and the bed may be used to just change bed temperature. Alternatively, a part of the supplied heat may be consumed for phase change or chemical reaction in the interior of the bed. These two cases will be distinguished, describing the former as heat transfer to beds without latent sinks (Sect. 2) and the latter as heat...
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9 Bibliography
Wunschmann J (1974) Wärmeübertragung von beheizten Flächen an bewegte Schüttungen bei Normaldruck und im Vakuum. Diss., Univ. Karlsruhe
Schlünder E-U (1984) Heat transfer to packed and stirred beds from the surface of immersed bodies. Chem Eng Process 18:31–53
Schlünder E-U, Mollekopf N (1984) Vacuum contact drying of free flowing mechanically agitated particulate material. Chem Eng Process 18:93–111
Abramowitz M (ed) (1965) Handbook of mathematical functions. Dover Publications, New York
Mollekopf N (1983) Wärmeübergang an mechanisch durchmischtes Schüttgut mit Wärmesenken in Kontaktapparaten. Diss., Univ. Karlsruhe
Tsotsas E, Schlünder E-U (1986) Contact drying of mechanically agitated particulate material in the presence of inert gas. Chem Eng Process 20:277–285
Martin H (1980) Wärme- und Stoffübertragung in der Wirbelschicht. Chem Ing Tech 52:199–209
Krischer O (1956) Die wissenschaftlichen Grundlagen der Trocknungstechnik, 1st edn. Springer, Berlin
Schlünder E-U, Tsotsas E (1988) Wärmeübertragung in Festbetten, durchmischten Schüttgütern und Wirbelschichten, 1st edn. Thieme, Stuttgart
Blumberg W, Schlünder E-U (1995) Thermal conductivity of packed beds consisting of porous particles wetted with binary mixtures. Chem Eng Process 34:339–346
Tsotsas E (2007) Modeling of contact dryers. Drying Technol J 25:1377–1391
Guderian J, Köneke D, Weinsprach P-M (1991) Heat transfer to trickling granular materials. Chem Eng Process 30:157–174
Dittler A, Bamberger T, Gehrmann D, Schlünder E-U (1997) Measurement and simulation of the vacuum contact drying of pastes in a LIST-type kneader dryer. Chem Eng Process 36:301–307
Tsotsas E, Schlünder E-U (1987) Vacuum contact drying of mechanically agitated beds: the influence of hygroscopic behaviour on the drying rate curve. Chem Eng Process 21:199–208
Tsotsas E (1985) Über den Einfluß der Dispersität und der Hygroskopizität auf den Trocknungsverlauf bei der Vakuum- Kontakttrocknung rieselfähiger Trocknungsgüter. Diss., Univ. Karlsruhe.
Michaud A, Peczalski R, Andrieu J (2008) Modeling of vacuum contact drying of crystalline powders packed beds. Chem Eng Process 47:722–730
Michaud A, Peczalski R, Andrieu J (2007) Experimental study and modelling of crystalline powders vacuum contact drying with intermittent stirring. Drying Technol J 25:1163–1173
Kohout M, Collier AP, Stepanek F (2006) Mathematical modelling of solvent drying from a static particle bed. Chem Eng Sci 61:3647–3685
Tsotsas E, Schlünder E-U (1986) Vacuum contact drying of free flowing mechanically agitated multigranular packings. Chem Eng Process 20:339–349
Blumberg W (1995) Selektive Konvektionstrocknung im Drehrohr. Fortschr Ber VDI, Ser. 3, No. 384. VDI-Verlag, Düsseldorf (Diss., Univ. Karlsruhe)
Gevaudan A, Andrieu J (1991) Contact drying modelling of agitated porous media beads. Chem Eng Process 30:31–37
Heimann F (1988) Über die Vakuumkontakttrocknung von mechanisch durchmischtem, rieselfähigem Schüttgut, das mit einem binären Gemisch befeuchtet ist. Fortschr Ber VDI, Ser. 3, No. 152. VDI-Verlag, Düsseldorf (Diss., Univ. Karlsruhe)
Riede T, Schlünder E-U (1990) Selective evaporation of a binary mixture into dry or humidified air. Chem Eng Process 27:83–93
Knebel T, Schlünder E-U (1995) Retention of volatiles in contact drying combined with membrane separation. Chem Eng Process 34:219–227
Barresi AA, Pisano R, Fissore D, Rasetto V, Velardi SA, Vallan A, Parvis M, Galan M (2009) Monitoring of the primary drying of a lyophilization process in vials. Chem Eng Process 48:408–423
Kwapinska M, Saage G, Tsotsas E (2006) Mixing of particles in rotary drums: a comparison of discrete element simulations with experimental results and penetration models for thermal processes. Powder Technol 161:69–78
Kwapinska M, Saage G, Tsotsas E (2008) Continuous versus discrete modelling of heat transfer to agitated beds. Powder Technol 181:331–342
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Tsotsas, E. (2010). M6 Heat Transfer from a Wall to Stagnant and Mechanically Agitated Beds. In: VDI Heat Atlas. VDI-Buch. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77877-6_99
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