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Magnetic effect on instability and nonlinear stability of double-diffusive convection in a reacting fluid

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Abstract

We study the problem of double-diffusive convection in a reacting fluid with a concentration and magnetic field effect–based internal heat source. A linear instability analysis and nonlinear stability analysis are performed, and using the finite element method of p order, we get the numerical results of each case. The numerical results are presented for fixed–fixed and free–free boundary conditions.

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  1. Department of Mathematical Sciences, University of Durham, Durham, DH1 3LE, UK

    A. J. Harfash

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Communicated by Andreas Öchsner.

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Harfash, A.J. Magnetic effect on instability and nonlinear stability of double-diffusive convection in a reacting fluid. Continuum Mech. Thermodyn. 25, 89–106 (2013). https://doi.org/10.1007/s00161-012-0248-7

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