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Convective Instability in a Composite Nanofluid Layer Under Local Thermal Non-equilibrium

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Frontiers in Industrial and Applied Mathematics (FIAM 2021)

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Abstract

Linear, as well as weakly non-linear, analyses have been done to understand the onset of convection and heat and mass transport in a composite nanofluid horizontal layer heated from below under LTNE (local thermal non-equilibrium) effect. Two different types of nanoparticles are assumed to be suspended in the base fluid. Both the nanoparticles and the base fluid are taken to be at different temperature, and therefore, three temperature model is used for LTNE. Thermal Rayleigh number is evaluated analytically using Galerkin’s approach while non-linear analysis is done numerically. The effect of both top-heavy and bottom-heavy configurations of nanoparticles over convective instability is examined. It is found that the system is more stable in case of bottom-heavy configuration when compared to that of top-heavy case. Moreover, the effect of LTNE depends upon the concentration of nanoparticles significantly. A comparison between streamlines, isotherms and isohalines for both LTE (local thermal equilibrium) and LTNE cases is also presented.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Babasaheb Bhimrao Ambedkar University, Lucknow, 226025, India

    Anurag Srivastava & B. S. Bhadauria

Authors
  1. Anurag Srivastava
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  2. B. S. Bhadauria
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Corresponding author

Correspondence to Anurag Srivastava .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Institute of Technology, Nirma University, Ahmedabad, India

    Rajesh Kumar Sharma

  2. Dipartimento Di Matematica, University of Ferrara, Ferrara, Italy

    Lorenzo Pareschi

  3. Institute for Groundwater Studies, University of the Free State, Bloemfontein, South Africa

    Abdon Atangana

  4. Department of Mathematics, National Institute of Technology Rourkela, Rourkela, Odisha, India

    Bikash Sahoo

  5. Department of Mathematics, Sant Longowal Institute of Engineering and Technology, Longowal, India

    Vijay Kumar Kukreja

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Srivastava, A., Bhadauria, B.S. (2023). Convective Instability in a Composite Nanofluid Layer Under Local Thermal Non-equilibrium. In: Sharma, R.K., Pareschi, L., Atangana, A., Sahoo, B., Kukreja, V.K. (eds) Frontiers in Industrial and Applied Mathematics. FIAM 2021. Springer Proceedings in Mathematics & Statistics, vol 410. Springer, Singapore. https://doi.org/10.1007/978-981-19-7272-0_9

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