A Linear Stability Analysis of Thermal Convection in a Fluid Layer with Simultaneous Rotation and Magnetic Field Acting in Different Directions
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-08-06
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
The onset of thermal convection of a Boussinesq fluid located in an unbounded layer heated from below and subject simultaneously to rotation and magnetic field, whose vectors act in different directions, is presented.
To the knowledge of the authors, the convective thermal instability analysis for this complex problem has not been previously reported.
In this paper, we use the Tau Chebyshev spectral method to calculate the value of the critical parameters (wave number and Rayleigh number at the onset of convection) as a function of (i) different kinds of boundaries, (ii) angle between the three vectors, and (iii) different values of the Taylor number T (rate of rotation) and magnetic parameter Q (strength of the magnetic force).
For the classical problems previously reported in the literature, we compare our calculations with Chandrasekhar’s variational method results and show that the present method is applicable.
American Psychological Association (APA)
Avila, Ruben& Cabello, Ares. 2013. A Linear Stability Analysis of Thermal Convection in a Fluid Layer with Simultaneous Rotation and Magnetic Field Acting in Different Directions. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-15.
https://search.emarefa.net/detail/BIM-1008770
Modern Language Association (MLA)
Avila, Ruben& Cabello, Ares. A Linear Stability Analysis of Thermal Convection in a Fluid Layer with Simultaneous Rotation and Magnetic Field Acting in Different Directions. Mathematical Problems in Engineering No. 2013 (2013), pp.1-15.
https://search.emarefa.net/detail/BIM-1008770
American Medical Association (AMA)
Avila, Ruben& Cabello, Ares. A Linear Stability Analysis of Thermal Convection in a Fluid Layer with Simultaneous Rotation and Magnetic Field Acting in Different Directions. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-15.
https://search.emarefa.net/detail/BIM-1008770
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1008770