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Effects of spatially varying gravity, temperature and concentration fields on the stability of a chemically reacting fluid layer

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Abstract

In the present study, the effects of different types of basic temperature and concentration gradients on a layer of reactive fluid under variable gravity field are analyzed using linear and non-linear analysis. Energy method is applied to obtain the non-linear energy threshold below which the solution is globally stable. It is found that the linear and non-linear analysis are not in agreement for the considered models of temperature and concentration gradients. The obtained results of non-linear analysis for different values of reaction terms and variable gravity coefficients in each given model of temperature and concentration gradients are compared with the linear instability results. The Chebyshev pseudospectral method is used to obtain the numerical and graphical results of subsequent analysis.

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Acknowledgements

One of the authors, Vinit Kumar Tripathi, gratefully acknowledges the financial assistance received from NIT Delhi.

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  1. Department of Applied Sciences, National Institute of Technology Delhi, Delhi, 110040, India

    Amit Mahajan & Vinit Kumar Tripathi

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  1. Amit Mahajan
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  2. Vinit Kumar Tripathi
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Correspondence to Amit Mahajan.

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Mahajan, A., Tripathi, V.K. Effects of spatially varying gravity, temperature and concentration fields on the stability of a chemically reacting fluid layer. J Eng Math 125, 23–45 (2020). https://doi.org/10.1007/s10665-020-10068-1

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  • DOI: https://doi.org/10.1007/s10665-020-10068-1

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