Convective instabilities in thermoviscoelastic micropolar fluids
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| Format: | Artículo científico |
| Sprache: | en |
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Escuela Regional de Matemáticas
2005
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| _version_ | 1876481247984746496 |
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| author | Victor A. Eremeyev |
| author_facet | Victor A. Eremeyev |
| contents | Convective instabilities in thermoviscoelastic micropolar fluids Victor A. Eremeyev Denis A. Sukhov Física, Astronomía y Matemáticas uid Oberbeck micropolar fl convective instabilities Boussinesq approximation Infinitesimal instabilities in plane horizontal layer of viscoelastic micropolar fluid under uniform heating are investigated. A micropolar fluid is a fluid whose particles have the six degrees of freedom of a rigid body. This model possesses couple stresses and rotational interaction of particles. Hydrodynamics of micropolar fluids has significant applications to a variety of different fields of physics and engineering(magnetohydrodynamics, tribologyetc.). Like a model of liquid crystals of nematic or smectic type, the constitutive equations of viscoelastic fluids have the property of orientation elasticity. The governing equations of viscoelastic micropolar fluid of differential type are considered. The temperature effects are described by using the Oberbeck-Boussinesq approximation. The linearized initial boundary problem is deduced and its solutions are obtained. The neutral lines are presented. The material characteristics influence on the critical values of Rayleigh or Grashof numbers is investigated. It is shown that taking into account the orientation elasticity property of viscoelastic fluid leads to the increasing of critical Rayleigh or Grashof numbers. 2005 artículo científico 0120-6788 https://www.redalyc.org/articulo.oa?id=46800104 en http://www.redalyc.org/revista.oa?id=468 Matemáticas: Enseñanza Universitaria application/pdf Escuela Regional de Matemáticas Matemáticas: Enseñanza Universitaria (Colombia) Num.1 Vol.XIII |
| format | Artículo científico |
| id | redalyc_46800104 |
| institution | Redalyc |
| language | en |
| publishDate | 2005 |
| publisher | Escuela Regional de Matemáticas |
| spellingShingle | Convective instabilities in thermoviscoelastic micropolar fluids Victor A. Eremeyev Física, Astronomía y Matemáticas uid Oberbeck micropolar fl convective instabilities Boussinesq approximation Convective instabilities in thermoviscoelastic micropolar fluids Victor A. Eremeyev Denis A. Sukhov Física, Astronomía y Matemáticas uid Oberbeck micropolar fl convective instabilities Boussinesq approximation Infinitesimal instabilities in plane horizontal layer of viscoelastic micropolar fluid under uniform heating are investigated. A micropolar fluid is a fluid whose particles have the six degrees of freedom of a rigid body. This model possesses couple stresses and rotational interaction of particles. Hydrodynamics of micropolar fluids has significant applications to a variety of different fields of physics and engineering(magnetohydrodynamics, tribologyetc.). Like a model of liquid crystals of nematic or smectic type, the constitutive equations of viscoelastic fluids have the property of orientation elasticity. The governing equations of viscoelastic micropolar fluid of differential type are considered. The temperature effects are described by using the Oberbeck-Boussinesq approximation. The linearized initial boundary problem is deduced and its solutions are obtained. The neutral lines are presented. The material characteristics influence on the critical values of Rayleigh or Grashof numbers is investigated. It is shown that taking into account the orientation elasticity property of viscoelastic fluid leads to the increasing of critical Rayleigh or Grashof numbers. 2005 artículo científico 0120-6788 https://www.redalyc.org/articulo.oa?id=46800104 en http://www.redalyc.org/revista.oa?id=468 Matemáticas: Enseñanza Universitaria application/pdf Escuela Regional de Matemáticas Matemáticas: Enseñanza Universitaria (Colombia) Num.1 Vol.XIII |
| title | Convective instabilities in thermoviscoelastic micropolar fluids |
| topic | Física, Astronomía y Matemáticas uid Oberbeck micropolar fl convective instabilities Boussinesq approximation |
| url | https://www.redalyc.org/articulo.oa?id=46800104 |