caa a22 4500 467945004 CHVBK 20180405193736.0 cr unu---uuuuu 170328e20050301xx s 000 0 eng 10.1007/s10808-005-0032-6 doi (NATIONALLICENCE)springer-10.1007/s10808-005-0032-6 (NATIONALLICENCE)springer-10.1007/PL00021896 Goncharova O. Altai State University, 656099, Barnaul aut Exact solutions of linearized equations of convection of a weakly compressible fluid [Elektronische Daten] [O. Goncharova] A mathematical model of fluid convection under microgravity conditions is considered. The equation of state is used in a form that allows considering the fluid as a weakly compressible medium. Based on the previously proposed mathematical model of convection of a weakly compressible fluid, unsteady convective motion in a vertical band, with a heat flux periodic in time set on the solid boundaries of this band, is considered. This model of convection allows one to study the problem with the boundary thermal model oscillating in an antiphase rather than in-phase mode, while the latter was required for the model of microconvection of an isothermally incompressible fluid. Exact solutions for velocity components and temperature are derived, and the trajectories of fluid particles are constructed. For comparison, the trajectories predicted by the classical Oberbeck-Boussinesq model of convection and by the microconvection model are presented. Springer Science+Business Media, Inc., 2005 convection nationallicence weakly compressible fluid nationallicence periodic heat flux nationallicence Journal of Applied Mechanics and Technical Physics Kluwer Academic Publishers-Consultants Bureau 46/2(2005-03-01), 191-201 0021-8944 46:2<191 2005 46 10808 https://doi.org/10.1007/s10808-005-0032-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10808-005-0032-6 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Goncharova O. Altai State University, 656099, Barnaul aut NATIONALLICENCE 773 0- Journal of Applied Mechanics and Technical Physics Kluwer Academic Publishers-Consultants Bureau 46/2(2005-03-01), 191-201 0021-8944 46:2<191 2005 46 10808 NATIONALLICENCE 856 40 https://doi.org/10.1007/PL00021896 text/html Onlinezugriff via DOI Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE NATIONALLICENCE NL-springer