Linear and non-linear magnetoconvection in a porous medium
type: Item
instance of: scholarly article
title: Linear and non-linear magnetoconvection in a porous medium
zbMATH Open document ID: 0592.76132
DOI: 10.1007/BF02840655
author: N. Rudraiah
published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences
publication date: 1984-01-01T00:00:00Z
review text: The author has studied convection in an electrically conducting Boussinesq fluid flowing through a porous medium in the presence of a vertical magnetic field. Boundaries are taken to be flat. The boundary conditions are used to examine two types of bifurcations - simple and Hopf bifurcation. The concept of self adjoint operator is used to find out the conditions under which the critical Rayleigh number for marginal convection is an upper bound for finite Biot number. The finite amplitude analysis is discussed by considering a truncated representation of Fourier series for velocity and magnetic and temperature fields. It is reported that heat transport increases with an increase in Rayleigh number, ratio of thermal diffusivity to magnetic diffusivity and porous parameter but decreases with an increase in Chandrasekhar number. The study is useful in understanding the field behaviour in the extraction of energy in the geothermal regions.
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 76W05
Mathematics Subject Classification ID: 76R99
Mathematics Subject Classification ID: 86A60
zbMATH DE Number: 3952364
zbMATH Keywords: convection in an electrically conducting Boussinesq fluid
zbMATH Keywords: vertical magnetic field
zbMATH Keywords: boundary conditions
zbMATH Keywords: types of bifurcations
zbMATH Keywords: Hopf bifurcation
zbMATH Keywords: critical Rayleigh number for marginal convection
zbMATH Keywords: finite amplitude analysis
zbMATH Keywords: truncated representation of Fourier series
zbMATH Keywords: heat transport
zbMATH Keywords: extraction of energy in the geothermal regions
reviewed by: Y. N. Gaur
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3952364