caa a22 4500 463162846 CHVBK 20180406164752.0 cr unu---uuuuu 170326e20070901xx s 000 0 eng 10.1007/s11242-006-9091-2 doi (NATIONALLICENCE)springer-10.1007/s11242-006-9091-2 Riahi D. Department of Mathematics, University of Texas-Pan American, 1201W. University Dr., 78541-2999, Edinburg, Texas, USA aut Inertial and coriolis effects on oscillatory flow in a horizontal dendrite layer [Elektronische Daten] [D. Riahi] Flow instability due to oscillatory modes of disturbances in a horizontal dendrite layer during alloy solidification is investigated under an external constraint of rotation. The flow in the dendrite layer, which is modeled as flow in a porous layer and with the inertial effects included, is assumed to rotate about the vertical axis at a constant angular velocity. The investigation is an extension of the work in Riahi (On stationary and oscillatory modes of flow instablity in a rotating porous layer during alloy solidification. J. Porous Media, 6, 177-187, 2003), which was for the case in the absence of the inertial effects. Results of the stability analyses indicate, in particular, that the Coriolis effect can enhance the physical domain for the oscillatory flow, while the inertial effect tends to reduce such domain. Sufficiently strong inertial effect can eliminate presence of the oscillatory mode only for the rotation rate beyond some value. The effect of interaction between the local volume fraction of solid and the flow associated with the Coriolis term was found to be stabilizing. Springer Science+Business Media, Inc., 2007 Rotating convection nationallicence Dendrite layer nationallicence Solidification nationallicence Oscillatory convection nationallicence Oscillatory instability nationallicence Inertial flow nationallicence Mushy layers nationallicence Stability analysis nationallicence Transport in Porous Media Kluwer Academic Publishers 69/3(2007-09-01), 301-312 0169-3913 69:3<301 2007 69 11242 https://doi.org/10.1007/s11242-006-9091-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11242-006-9091-2 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Riahi D. Department of Mathematics, University of Texas-Pan American, 1201W. University Dr., 78541-2999, Edinburg, Texas, USA aut NATIONALLICENCE 773 0- Transport in Porous Media Kluwer Academic Publishers 69/3(2007-09-01), 301-312 0169-3913 69:3<301 2007 69 11242 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer