Effects of Controller and Nonuniform Temperature Profile on the Onset of Rayleigh-Bénard-Marangoni Electroconvection in a Micropolar Fluid
Linear stability analysis is performed to study the effects of nonuniform basic temperature gradients on the onset of Rayleigh-Bénard-Marangoni electroconvection in a dielectric Eringen’s micropolar fluid by using the Galerkin technique. In the case of Rayleigh-Bénard-Marangoni convection, the eigen...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/571437 |
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| author | H. M. Azmi R. Idris |
| author_facet | H. M. Azmi R. Idris |
| author_sort | H. M. Azmi |
| collection | DOAJ |
| description | Linear stability analysis is performed to study the effects of nonuniform basic temperature gradients on the onset of Rayleigh-Bénard-Marangoni electroconvection in a dielectric Eringen’s micropolar fluid by using the Galerkin technique. In the case of Rayleigh-Bénard-Marangoni convection, the eigenvalues are obtained for an upper free/adiabatic and lower rigid/isothermal boundaries. The influence of various
parameters has been analysed. Three nonuniform basic temperature profiles are considered and their comparative influence on onset of convection is discussed.
Different values of feedback control and electric number are added up to examine whether their presence will enhance or delay the onset of electroconvection. |
| format | Article |
| id | doaj-art-2fceb32114e045f6a1391f7704ae4bd7 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-2fceb32114e045f6a1391f7704ae4bd72025-02-03T06:01:39ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/571437571437Effects of Controller and Nonuniform Temperature Profile on the Onset of Rayleigh-Bénard-Marangoni Electroconvection in a Micropolar FluidH. M. Azmi0R. Idris1School of Informatics and Applied Mathematics, Universiti Malaysia Terengganu, 21030 Kuala Terengganu, Terengganu, MalaysiaSchool of Informatics and Applied Mathematics, Universiti Malaysia Terengganu, 21030 Kuala Terengganu, Terengganu, MalaysiaLinear stability analysis is performed to study the effects of nonuniform basic temperature gradients on the onset of Rayleigh-Bénard-Marangoni electroconvection in a dielectric Eringen’s micropolar fluid by using the Galerkin technique. In the case of Rayleigh-Bénard-Marangoni convection, the eigenvalues are obtained for an upper free/adiabatic and lower rigid/isothermal boundaries. The influence of various parameters has been analysed. Three nonuniform basic temperature profiles are considered and their comparative influence on onset of convection is discussed. Different values of feedback control and electric number are added up to examine whether their presence will enhance or delay the onset of electroconvection.http://dx.doi.org/10.1155/2014/571437 |
| spellingShingle | H. M. Azmi R. Idris Effects of Controller and Nonuniform Temperature Profile on the Onset of Rayleigh-Bénard-Marangoni Electroconvection in a Micropolar Fluid Journal of Applied Mathematics |
| title | Effects of Controller and Nonuniform Temperature Profile on the Onset of Rayleigh-Bénard-Marangoni Electroconvection in a Micropolar Fluid |
| title_full | Effects of Controller and Nonuniform Temperature Profile on the Onset of Rayleigh-Bénard-Marangoni Electroconvection in a Micropolar Fluid |
| title_fullStr | Effects of Controller and Nonuniform Temperature Profile on the Onset of Rayleigh-Bénard-Marangoni Electroconvection in a Micropolar Fluid |
| title_full_unstemmed | Effects of Controller and Nonuniform Temperature Profile on the Onset of Rayleigh-Bénard-Marangoni Electroconvection in a Micropolar Fluid |
| title_short | Effects of Controller and Nonuniform Temperature Profile on the Onset of Rayleigh-Bénard-Marangoni Electroconvection in a Micropolar Fluid |
| title_sort | effects of controller and nonuniform temperature profile on the onset of rayleigh benard marangoni electroconvection in a micropolar fluid |
| url | http://dx.doi.org/10.1155/2014/571437 |
| work_keys_str_mv | AT hmazmi effectsofcontrollerandnonuniformtemperatureprofileontheonsetofrayleighbenardmarangonielectroconvectioninamicropolarfluid AT ridris effectsofcontrollerandnonuniformtemperatureprofileontheonsetofrayleighbenardmarangonielectroconvectioninamicropolarfluid |