- -

Codimension-three bifurcations in a Bénard-Marangoni problem

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Compartir/Enviar a

Citas

Estadísticas

  • Estadisticas de Uso

Codimension-three bifurcations in a Bénard-Marangoni problem

Mostrar el registro sencillo del ítem

Ficheros en el ítem

dc.contributor.author Hoyas, S es_ES
dc.contributor.author Gil, A. es_ES
dc.contributor.author Fajardo, Pablo es_ES
dc.contributor.author Pérez Quiles, María Jezabel es_ES
dc.date.accessioned 2014-10-03T10:08:15Z
dc.date.available 2014-10-03T10:08:15Z
dc.date.issued 2013-07-22
dc.identifier.issn 1539-3755
dc.identifier.uri http://hdl.handle.net/10251/40615
dc.description.abstract [EN] This Brief Report studies the linear stability of a thermoconvective problem in an annular domain for relatively low (∼1) Prandtl (viscosity effects) and Biot (heat transfer) numbers. The four possible patterns for the instabilities, namely, hydrothermal waves of first and second class, longitudinal rolls, and corotating rolls, are present in a small region of the Biot-Prandtl plane. This region can be split in four zones, depending on the sort of instability found. The boundary of these four zones is composed of codimension-two points. Authors have also found two codimension-three points, where some of the former curves intersect. Results shown in this Brief Report clarify some reported experiments, predict new instabilities, and, by giving a deeper insight into how physical parameters affect bifurcations, open a gateway to control those instabilities. es_ES
dc.language Español es_ES
dc.publisher American Physical Society es_ES
dc.relation.ispartof Physical Review E es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Annular domain es_ES
dc.subject Codimension-two es_ES
dc.subject Corotating rolls es_ES
dc.subject Hydrothermal waves es_ES
dc.subject Linear Stability es_ES
dc.subject Physical parameters es_ES
dc.subject Second class es_ES
dc.subject Viscosity effects es_ES
dc.subject.classification INGENIERIA AEROESPACIAL es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Codimension-three bifurcations in a Bénard-Marangoni problem es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1103/PhysRevE.88.015001
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Máquinas y Motores Térmicos - Departament de Màquines i Motors Tèrmics es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Hoyas, S.; Gil, A.; Fajardo, P.; Pérez Quiles, MJ. (2013). Codimension-three bifurcations in a Bénard-Marangoni problem. Physical Review E. 88(015001). doi:10.1103/PhysRevE.88.015001 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1103/PhysRevE.88.015001 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 88 es_ES
dc.description.issue 015001 es_ES
dc.relation.senia 248912
dc.description.references Smith, M. K., & Davis, S. H. (1983). Instabilities of dynamic thermocapillary liquid layers. Part 1. Convective instabilities. Journal of Fluid Mechanics, 132, 119-144. doi:10.1017/s0022112083001512 es_ES
dc.description.references Herrero, H., & Mancho, A. M. (1998). Influence of aspect ratio in convection due to nonuniform heating. Physical Review E, 57(6), 7336-7339. doi:10.1103/physreve.57.7336 es_ES
dc.description.references RILEY, R. J., & NEITZEL, G. P. (1998). Instability of thermocapillary–buoyancy convection in shallow layers. Part 1. Characterization of steady and oscillatory instabilities. Journal of Fluid Mechanics, 359, 143-164. doi:10.1017/s0022112097008343 es_ES
dc.description.references Hoyas, S., Herrero, H., & Mancho, A. M. (2002). Thermal convection in a cylindrical annulus heated laterally. Journal of Physics A: Mathematical and General, 35(18), 4067-4083. doi:10.1088/0305-4470/35/18/306 es_ES
dc.description.references Hoyas, S., Herrero, H., & Mancho, A. M. (2002). Bifurcation diversity of dynamic thermocapillary liquid layers. Physical Review E, 66(5). doi:10.1103/physreve.66.057301 es_ES
dc.description.references Garnier, N., & Chiffaudel, A. (2001). Two dimensional hydrothermal waves in an extended cylindrical vessel. The European Physical Journal B, 19(1), 87-95. doi:10.1007/s100510170352 es_ES
dc.description.references Hoyas, S., Mancho, A. M., Herrero, H., Garnier, N., & Chiffaudel, A. (2005). Bénard–Marangoni convection in a differentially heated cylindrical cavity. Physics of Fluids, 17(5), 054104. doi:10.1063/1.1876892 es_ES
dc.description.references SCHWABE, D., ZEBIB, A., & SIM, B.-C. (2003). Oscillatory thermocapillary convection in open cylindrical annuli. Part 1. Experiments under microgravity. Journal of Fluid Mechanics, 491, 239-258. doi:10.1017/s002211200300541x es_ES
dc.description.references Chandrasekhar, S., & Gillis, J. (1962). Hydrodynamic and Hydromagnetic Stability. Physics Today, 15(3), 58-58. doi:10.1063/1.3058072 es_ES
dc.description.references Torregrosa, A. J., Hoyas, S., Pérez-Quiles, M. J., & Mompó-Laborda, J. M. (2013). Bifurcation Diversity in an Annular Pool Heated from Below: Prandtl and Biot Numbers Effects. Communications in Computational Physics, 13(2), 428-441. doi:10.4208/cicp.090611.170212a es_ES
dc.description.references Orszag, S. A. (1972). Comparison of Pseudospectral and Spectral Approximation. Studies in Applied Mathematics, 51(3), 253-259. doi:10.1002/sapm1972513253 es_ES
dc.description.references JIMÉNEZ, J., & HOYAS, S. (2008). Turbulent fluctuations above the buffer layer of wall-bounded flows. Journal of Fluid Mechanics, 611, 215-236. doi:10.1017/s0022112008002747 es_ES
dc.description.references Theofilis, V. (2011). Global Linear Instability. Annual Review of Fluid Mechanics, 43(1), 319-352. doi:10.1146/annurev-fluid-122109-160705 es_ES
dc.description.references Burguete, J., Mukolobwiez, N., Daviaud, F., Garnier, N., & Chiffaudel, A. (2001). Buoyant-thermocapillary instabilities in extended liquid layers subjected to a horizontal temperature gradient. Physics of Fluids, 13(10), 2773-2787. doi:10.1063/1.1398536 es_ES
dc.description.references Favre, E., Blumenfeld, L., & Daviaud, F. (1997). Instabilities of a liquid layer locally heated on its free surface. Physics of Fluids, 9(5), 1473-1475. doi:10.1063/1.869470 es_ES
dc.description.references BENZ, S., HINTZ, P., RILEY, R. J., & NEITZEL, G. P. (1998). Instability of thermocapillary–buoyancy convection in shallow layers. Part 2. Suppression of hydrothermal waves. Journal of Fluid Mechanics, 359, 165-180. doi:10.1017/s0022112097008355 es_ES


Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro sencillo del ítem