caa a22 4500 47707751X CHVBK 20180405111442.0 cr unu---uuuuu 170330e19960901xx s 000 0 eng 10.1007/BF00036614 doi (NATIONALLICENCE)springer-10.1007/BF00036614 On the travelling wave instability caused by moving planar heat sources: the rigid problem [Elektronische Daten] [M. Weinstein, T. Miloh] This analysis deals with the convective travelling wave instability appearing in a fluid medium at rest and contained between two horizontal rigid plates, subjected to the same sinusoidal temperature distribution, moving at a uniform speed and in the same direction. The temperature distribution is caused by travelling planar heat sources with a time harmonic output. A three-dimensional coordinate system is used and the small parameter ε in this problem represents the ratio between the buoyancy and inertial forces. For a finite, yet small ε, asymptotic expansions are assumed for the velocity, pressure, temperature and the Reynolds number. The mean motion generated by the Reynolds stresses is calculated separately. By keeping the Prandtl number fixed and by using long length and time scales, successive linearized perturbation equations are considered. Two successive amplitude equations are analyzed and their solution yields the mathematical form of these travelling waves, their group velocity and the elevation above the critical Reynolds number. Kluwer Academic Publishers, 1996 Weinstein M. Ministry of Defense, P.O. Box 2250, 31021, Haifa, Israel aut Miloh T. School of Engineering, University of Tel Aviv, 69978, Ramat Aviv, Israel aut Journal of Engineering Mathematics Kluwer Academic Publishers; http://www.wkap.nl 30/5(1996-09-01), 501-513 0022-0833 30:5<501 1996 30 10665 https://doi.org/10.1007/BF00036614 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00036614 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Weinstein M. Ministry of Defense, P.O. Box 2250, 31021, Haifa, Israel aut NATIONALLICENCE 700 1- Miloh T. School of Engineering, University of Tel Aviv, 69978, Ramat Aviv, Israel aut NATIONALLICENCE 773 0- Journal of Engineering Mathematics Kluwer Academic Publishers; http://www.wkap.nl 30/5(1996-09-01), 501-513 0022-0833 30:5<501 1996 30 10665 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer