caa a22 4500 475839781 CHVBK 20180406123858.0 cr unu---uuuuu 170329e20001001xx s 000 0 eng 10.1023/A:1004773300599 doi (NATIONALLICENCE)springer-10.1023/A:1004773300599 Waves of high frequency in suspensions near the critical point of the particulate pressure-density dependence [Elektronische Daten] [P. Vainshtein, M. Shapiro, C. Gutfinger] The paper considers theoretically the propagation of weakly nonlinear high-frequency waves in homogeneous gas-solid suspensions. The governing equations include the equation of particle conservation and the equation of mean motion of the particles. These equations are supplemented by a barotropic dependence of the particulate pressure on the particle volume fraction which has a point of maximum (critical point) separating the regions of increase and decrease of the particulate pressure. Under condition that the particulate gas viscosity is negligible, the conservation laws represent a system of mixed hyperbolic-elliptic type. It is shown that a uniformly fluidized bed operated at the critical concentration is unstable with respect to high-frequency sinusoidal oscillations. Kluwer Academic Publishers, 2000 waves nationallicence high frequency nationallicence suspensions nationallicence particulate pressure nationallicence critical point nationallicence equations of mixed type nationallicence Vainshtein P. Faculty of Mechanical Engineering, Technion -, Israel Institute of Technology, 32000, Haifa, Israel aut Shapiro M. Faculty of Mechanical Engineering, Technion -, Israel Institute of Technology, 32000, Haifa, Israel aut Gutfinger C. Faculty of Mechanical Engineering, Technion -, Israel Institute of Technology, 32000, Haifa, Israel aut Journal of Engineering Mathematics Kluwer Academic Publishers 38/3(2000-10-01), 265-278 0022-0833 38:3<265 2000 38 10665 https://doi.org/10.1023/A:1004773300599 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1004773300599 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Vainshtein P. Faculty of Mechanical Engineering, Technion -, Israel Institute of Technology, 32000, Haifa, Israel aut NATIONALLICENCE 700 1- Shapiro M. Faculty of Mechanical Engineering, Technion -, Israel Institute of Technology, 32000, Haifa, Israel aut NATIONALLICENCE 700 1- Gutfinger C. Faculty of Mechanical Engineering, Technion -, Israel Institute of Technology, 32000, Haifa, Israel aut NATIONALLICENCE 773 0- Journal of Engineering Mathematics Kluwer Academic Publishers 38/3(2000-10-01), 265-278 0022-0833 38:3<265 2000 38 10665 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer