Effects of non-uniform heating on a variable viscosity Rayleigh–Bénard problem
This study presents a natural convection problem with a temperature-dependent viscosity fluid, driven by buoyancy and influenced by horizontal temperature gradients. A numerical linear stability analysis of the stationary solutions is studied. The horizontal temperature gradients tend to localize mo...
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| Published in: | Theoretical and computational fluid dynamics Vol. 25; no. 5; pp. 301 - 313 |
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| Format: | Journal Article |
| Language: | English |
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01-10-2011
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| Abstract | This study presents a natural convection problem with a temperature-dependent viscosity fluid, driven by buoyancy and influenced by horizontal temperature gradients. A numerical linear stability analysis of the stationary solutions is studied. The horizontal temperature gradients tend to localize motion near the warmer zones and favour pattern formation in the direction perpendicular to the gradient. In fact, the problem is almost 2D in the uniform heating case, but becomes totally 3D in the non-uniform heating case. |
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| AbstractList | This study presents a natural convection problem with a temperature-dependent viscosity fluid, driven by buoyancy and influenced by horizontal temperature gradients. A numerical linear stability analysis of the stationary solutions is studied. The horizontal temperature gradients tend to localize motion near the warmer zones and favour pattern formation in the direction perpendicular to the gradient. In fact, the problem is almost 2D in the uniform heating case, but becomes totally 3D in the non-uniform heating case. This study presents a natural convection problem with a temperature-dependent viscosity fluid, driven by buoyancy and influenced by horizontal temperature gradients. A numerical linear stability analysis of the stationary solutions is studied. The horizontal temperature gradients tend to localize motion near the warmer zones and favour pattern formation in the direction perpendicular to the gradient. In fact, the problem is almost 2D in the uniform heating case, but becomes totally 3D in the non-uniform heating case. Keywords Buoyancy driven convection. Variable viscosity Collocation Mantle This study presents a natural convection problem with a temperature-dependent viscosity fluid, driven by buoyancy and influenced by horizontal temperature gradients. A numerical linear stability analysis of the stationary solutions is studied. The horizontal temperature gradients tend to localize motion near the warmer zones and favour pattern formation in the direction perpendicular to the gradient. In fact, the problem is almost 2D in the uniform heating case, but becomes totally 3D in the non-uniform heating case.[PUBLICATION ABSTRACT] |
| Audience | Academic |
| Author | Pla, Francisco Herrero, Henar |
| Author_xml | – sequence: 1 givenname: Francisco surname: Pla fullname: Pla, Francisco organization: Departamento de Matemáticas, Universidad de Castilla-La Mancha – sequence: 2 givenname: Henar surname: Herrero fullname: Herrero, Henar email: Henar.Herrero@uclm.es organization: Departamento de Matemáticas, Universidad de Castilla-La Mancha |
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| CitedBy_id | crossref_primary_10_1144_SP422_10 crossref_primary_10_1016_j_jvolgeores_2015_02_013 |
| Cites_doi | 10.1016/j.pepi.2007.04.015 10.1103/PhysRevE.48.4432 10.1016/S0012-821X(02)01009-9 10.1063/1.1345719 10.1038/379436a0 10.1007/s00162-004-0143-3 10.1088/0305-4470/35/18/306 10.1016/j.pepi.2003.07.031 10.1063/1.868465 10.1088/0034-4885/41/12/003 10.1038/27185 10.1103/PhysRevE.48.4414 10.1063/1.868920 10.1029/JB073i008p02643 10.1017/S0022112076000876 10.1016/j.epsl.2007.05.046 10.1029/JB074i002p00685 10.1038/2161276a0 10.1002/fld.317 10.1063/1.2714295 10.1103/PhysRevE.66.057301 10.1017/S0022112083000713 10.1023/A:1022678124929 10.1063/1.870359 10.1063/1.868852 10.1016/j.physd.2008.12.015 10.1103/PhysRevE.47.1126 10.1038/nature02470 10.1063/1.1398536 10.1007/978-3-642-84108-8 10.1080/14786441608635602 10.1142/3097 |
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| Keywords | Variable viscosity Collocation Mantle Buoyancy driven convection |
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| SubjectTerms | Buoyancy Classical and Continuum Physics Computational fluid dynamics Computational Science and Engineering Convection Earth Engineering Engineering Fluid Dynamics Fluid dynamics Heat Heating Horizontal Mantle Original Article Plate tectonics Stability analysis Tectonics (Geology) Temperature gradient Temperature gradients Three dimensional Viscosity |
| Title | Effects of non-uniform heating on a variable viscosity Rayleigh–Bénard problem |
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