HYDROMAGNETIC CONVECTIVE INSTABILITY IN A ROTATING VISCOELASTIC LAYER HEATED FROM BELOW.

I. A. Eltayeb

HYDROMAGNETIC CONVECTIVE INSTABILITY IN A ROTATING VISCOELASTIC LAYER HEATED FROM BELOW.

I. A. Eltayeb^*

^*Corresponding author for this work

Mathematics & Statistics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

1 Citation (Scopus)

Abstract

The linear stability of a highly rotating viscoelastic fluid layer heated from below and lying in a uniform magnetic field is studied in the Boussinesq approximation. A singular perturbation method is successfully employed to identify the preferred mode of convection for all magnitudes and directions of the magnetic field for a variety of surface conditions. The analysis shows that the magnetic field inhibits the dynamic influence of the boundaries on the critical mode of convection but introduces the dependence of the marginal state on the electrical and magnetic properties of the boundaries.

Original language	English
Title of host publication	Z Angew Math Mech
Pages	229-237
Number of pages	9
Volume	57
Edition	4
Publication status	Published - Apr 1977

ASJC Scopus subject areas

Engineering(all)

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title = "HYDROMAGNETIC CONVECTIVE INSTABILITY IN A ROTATING VISCOELASTIC LAYER HEATED FROM BELOW.",

abstract = "The linear stability of a highly rotating viscoelastic fluid layer heated from below and lying in a uniform magnetic field is studied in the Boussinesq approximation. A singular perturbation method is successfully employed to identify the preferred mode of convection for all magnitudes and directions of the magnetic field for a variety of surface conditions. The analysis shows that the magnetic field inhibits the dynamic influence of the boundaries on the critical mode of convection but introduces the dependence of the marginal state on the electrical and magnetic properties of the boundaries.",

author = "Eltayeb, {I. A.}",

year = "1977",

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N2 - The linear stability of a highly rotating viscoelastic fluid layer heated from below and lying in a uniform magnetic field is studied in the Boussinesq approximation. A singular perturbation method is successfully employed to identify the preferred mode of convection for all magnitudes and directions of the magnetic field for a variety of surface conditions. The analysis shows that the magnetic field inhibits the dynamic influence of the boundaries on the critical mode of convection but introduces the dependence of the marginal state on the electrical and magnetic properties of the boundaries.

AB - The linear stability of a highly rotating viscoelastic fluid layer heated from below and lying in a uniform magnetic field is studied in the Boussinesq approximation. A singular perturbation method is successfully employed to identify the preferred mode of convection for all magnitudes and directions of the magnetic field for a variety of surface conditions. The analysis shows that the magnetic field inhibits the dynamic influence of the boundaries on the critical mode of convection but introduces the dependence of the marginal state on the electrical and magnetic properties of the boundaries.

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