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Thermal Instability of Rivlin-Ericksen Elastico-Viscous Nanofluid Saturated by a Porous Medium with Rotation

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Advances in Mathematical Modelling, Applied Analysis and Computation (ICMMAAC 2022)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 666))

Abstract

The current article examines the thermal instability of a rotating porous layer saturated by a Rivlin-Ericksen elastico-viscous nanofluid using both nonlinear and linear ways. Nonlinear stability analysis is carried out using the truncated Fourier series method while normal mode methodology is utilized to perform to evaluation of linear stability analytically. The outcomes are all displayed graphically. The findings show that the concentration Rayleigh number, Lewis number, and modified diffusivity ratio promote the commencement of convective motion within the system. On the other hand, porosity, Darcy number, and rotation stabilize the system. The variation of the kinematic viscoelasticity parameter is found to have a substantial effect on the heat/mass transfer when Nusselt numbers are evaluated as a function of time. It has been determined that for stationary convection, the Rivlin-Ericksen elastico-viscous nanofluid fluid conducts just like a typical Newtonian nanofluid. The Taylor number affects the behaviour of heat/mass transfer, as increase the value of Taylor number mass and heat transfer decrease in the system, and found that Rivlin-Ericksen elastico-viscous nanofluid delays the commencement of convection.

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Authors and Affiliations

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

    Ismail & B. S. Bhadauria

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  1. Ismail
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  2. B. S. Bhadauria
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Editors and Affiliations

  1. Department of Mathematics, JECRC University, Jaipur, Rajasthan, India

    Jagdev Singh

  2. Department of Mathematics, University of Memphis, Memphis, TN, USA

    George A. Anastassiou

  3. Department of Mathematics, Cankaya University, Institute of space sciences, Bucharest, Ankara, Türkiye

    Dumitru Baleanu

  4. Department of Mathematics, University of Rajasthan, Jaipur, India

    Devendra Kumar

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Ismail, Bhadauria, B.S. (2023). Thermal Instability of Rivlin-Ericksen Elastico-Viscous Nanofluid Saturated by a Porous Medium with Rotation. In: Singh, J., Anastassiou, G.A., Baleanu, D., Kumar, D. (eds) Advances in Mathematical Modelling, Applied Analysis and Computation . ICMMAAC 2022. Lecture Notes in Networks and Systems, vol 666. Springer, Cham. https://doi.org/10.1007/978-3-031-29959-9_28

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  • DOI: https://doi.org/10.1007/978-3-031-29959-9_28

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  • Online ISBN: 978-3-031-29959-9

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