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On the theory of heat-conducting micropolar fluids with microtemperatures

Zur Theorie wärmeleitender mikropolarer Flüssigkeiten mit Mikrotemperaturen

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Summary

Microthermopolar fluids are introduced as a subclass of microthermofluids. In this subclass micromotion consists of rigid rotation only. The local balance laws and the linear constitutive equations are extracted from the theory of microthermofluids. Restriction regarding the material coefficients appearing in the constitutive equations are deduced by thermodynamical considerations. The problem of Poiseuille flow between two parallel plates is solved.

Zusammenfassung

Als Untergruppe der Mikrothermoflüssigkeiten werden die mikrothermopolaren Flüssigkeiten eingeführt, in denen die Mikrobewegung lediglich aus starren Rotationen besteht. Die lokalen Bilanzgleichungen und die linearen Zustandsgleichungen werden aus der Theorie der Mikrothermoflüssigkeiten gewonnen. Beschränkungen für die in den Zustandsgleichungen auftretenden Materialkoeffizienten ergeben sich aus thermodynamischen Überlegungen. Analysiert wird die Poiseuille-Strömung zwischen zwei planparallelen Platten.

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Authors and Affiliations

  1. Institute of Hydrodynamics, Czechoslovak Academy of Sciences, Podbabská 13, 166 12, Prague, Czechoslovakia

    P. Říha

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  1. P. Říha
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Říha, P. On the theory of heat-conducting micropolar fluids with microtemperatures. Acta Mechanica 23, 1–8 (1975). https://doi.org/10.1007/BF01177664

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  • DOI: https://doi.org/10.1007/BF01177664

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