Double diffusive magneto-convection in viscoelastic fluids

We investigate the effect of an external magnetic field on the heat and mass transport in double diffusive convection in a viscoelastic fluid layer. The Oldroyd-B constitutive equation is used to model viscoelasticity. Nonlinear stability analysis is carried out using a minimal representation of a F...

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Bibliographic Details
Published in:International journal of heat and mass transfer 2013-12, Vol.67, p.194-201
Main Authors: Narayana, M., Gaikwad, S.N., Sibanda, P., Malge, R.B.
Format: Article
Language:English
Subjects:
Chandrasekhar number
Constitutive relationships
Diffusion
Double diffusive convection
Fourier series
Heat and mass transport
Magnetic fields
Mathematical models
Stability analysis
Transport
Viscoelastic fluid
Viscoelastic fluids
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Summary:We investigate the effect of an external magnetic field on the heat and mass transport in double diffusive convection in a viscoelastic fluid layer. The Oldroyd-B constitutive equation is used to model viscoelasticity. Nonlinear stability analysis is carried out using a minimal representation of a Fourier series consisting of two terms. A novel transformation due to Siddheshwar et al. [25] is used in the momentum equation in deriving the non-autonomous generalized Lorenz model. The generalized Lorenz system has been solved numerically using the Runge–Kutta–Fehlberg (RKF45) method to quantify the heat and mass transport. It is established that the applied magnetic field has a stabilizing effect, hence reducing heat and mass transport.
ISSN:0017-9310
1879-2189
DOI:10.1016/j.ijheatmasstransfer.2013.08.027