https://doi.org/10.1140/epjp/s13360-024-05241-9
Regular Article
Generalized aspects of Fourier’s and Fick’s laws through Cattaneo–Christov model on nanofluid flow with multiple convective conditions and chemical reaction: a statistical approach
1
Department of Mathematics, SRM Institute of Science and Technology, 603203, Kattankulathur, Tamil Nadu, India
2
Department of Basic Science and Humanities, Techno International Newtown, 700156, Newtown, Kolkata, West Bengal, India
3
Department of Mathematics, Jadavpur University, 700032, Kolkata, West Bengal, India
a tanmoyc@srmist.edu.in, tanmoyc88@gmail.com
Received:
10
September
2022
Accepted:
6
May
2024
Published online:
5
June
2024
A methodical exploration of thermal and solutal transportation phenomena of a nanofluid drift over a nonlinear permeable expanded sheet with multiple convective conditions is framed here. The leading momentum, energy and nanoparticles concentration equations are designed with the effects of magnetic flux, nonlinear thermal radiation and chemical reaction. Conventional Fourier’s and Fick’s law-based energy and concentration equations are generalized through Cattaneo–Christov model. The proper similarity transformation is employed to turn the leading systems from PDEs to ODEs. The transformed two-point BVP is tackled with sixth-order Runge–Kutta method assisted with Nachtsheim–Swigert shooting iteration practice. A new statistical observation is also made to reveal the correlation factors between the pertinent parameters and the reduced Nusselt number 
and the reduced Sherwood number 
. The outcomes are vividly illustrated with graphs and discussed in details. Results reveal that the temperature distribution decays with thermal relaxation parameter 
whereas opposite impact is observed for nanoparticles concentration profile. Also, the thermal and concentration boundary layers are significantly amplified by the generative chemical reaction rate parameter 
. It is also visible that as the thermal Biot number 
ranges from 1.0 to 3.0, the rate of heat transportation is inclined by 27.36% (approximately) and for the same range of solutal Biot number 
the rate of mass transportation is amplified by 32.12% (approximately).
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
