Convection of a micropolar fluid with stretch
As a model for the Bénard convection in the asthenosphere<br />the problem of the hydrodynamic stability of an infinite horizontal<br />layer is calculated. The layer consists of a micropolar fluid with streich.<br />The field equations for the velocity vect...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Istituto Nazionale di Geofisica e Vulcanologia (INGV)
1976-06-01
|
| Series: | Annals of Geophysics |
| Online Access: | http://www.annalsofgeophysics.eu/index.php/annals/article/view/4803 |
| _version_ | 1828473628075753472 |
|---|---|
| author | U. Walzer |
| author_facet | U. Walzer |
| author_sort | U. Walzer |
| collection | DOAJ |
| description | As a model for the Bénard convection in the asthenosphere<br />the problem of the hydrodynamic stability of an infinite horizontal<br />layer is calculated. The layer consists of a micropolar fluid with streich.<br />The field equations for the velocity vector, microrotation vector, microstretch,<br />microinertia, density, temperature, and pressure form a system<br />of eleven partial differential equations for the determination of eleven unknown<br />scalar functions. We succeed in decoupling the system and reducing<br />the problem to an ordinary differential equation. The analytical solution<br />can be given for the special case of a micropolar Boussinesq fluid. |
| first_indexed | 2024-12-11T05:47:15Z |
| format | Article |
| id | doaj.art-fe1cb7e67a124a7a817db1cd19573de6 |
| institution | Directory Open Access Journal |
| issn | 1593-5213 2037-416X |
| language | English |
| last_indexed | 2024-12-11T05:47:15Z |
| publishDate | 1976-06-01 |
| publisher | Istituto Nazionale di Geofisica e Vulcanologia (INGV) |
| record_format | Article |
| series | Annals of Geophysics |
| spelling | doaj.art-fe1cb7e67a124a7a817db1cd19573de62022-12-22T01:18:56ZengIstituto Nazionale di Geofisica e Vulcanologia (INGV)Annals of Geophysics1593-52132037-416X1976-06-0129418119810.4401/ag-4803Convection of a micropolar fluid with stretchU. WalzerAs a model for the Bénard convection in the asthenosphere<br />the problem of the hydrodynamic stability of an infinite horizontal<br />layer is calculated. The layer consists of a micropolar fluid with streich.<br />The field equations for the velocity vector, microrotation vector, microstretch,<br />microinertia, density, temperature, and pressure form a system<br />of eleven partial differential equations for the determination of eleven unknown<br />scalar functions. We succeed in decoupling the system and reducing<br />the problem to an ordinary differential equation. The analytical solution<br />can be given for the special case of a micropolar Boussinesq fluid.http://www.annalsofgeophysics.eu/index.php/annals/article/view/4803 |
| spellingShingle | U. Walzer Convection of a micropolar fluid with stretch Annals of Geophysics |
| title | Convection of a micropolar fluid with stretch |
| title_full | Convection of a micropolar fluid with stretch |
| title_fullStr | Convection of a micropolar fluid with stretch |
| title_full_unstemmed | Convection of a micropolar fluid with stretch |
| title_short | Convection of a micropolar fluid with stretch |
| title_sort | convection of a micropolar fluid with stretch |
| url | http://www.annalsofgeophysics.eu/index.php/annals/article/view/4803 |
| work_keys_str_mv | AT uwalzer convectionofamicropolarfluidwithstretch |