Journal of Applied Mathematics

Effects of Controller and Nonuniform Temperature Profile on the Onset of Rayleigh-Bénard-Marangoni Electroconvection in a Micropolar Fluid

H. M. Azmi and R. Idris

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Abstract

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.

Article information

Source
J. Appl. Math., Volume 2014 (2014), Article ID 571437, 8 pages.

Dates
First available in Project Euclid: 2 March 2015

Permanent link to this document
https://projecteuclid.org/euclid.jam/1425305833

Digital Object Identifier
doi:10.1155/2014/571437

Citation

Azmi, H. M.; Idris, R. Effects of Controller and Nonuniform Temperature Profile on the Onset of Rayleigh-Bénard-Marangoni Electroconvection in a Micropolar Fluid. J. Appl. Math. 2014 (2014), Article ID 571437, 8 pages. doi:10.1155/2014/571437. https://projecteuclid.org/euclid.jam/1425305833


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