https://doi.org/10.1140/epjp/s13360-025-06311-2
Regular Article
Transient fractional dusty fluid flow in a superhydrophobic microchannel
1
Department of Mathematics, Faculty of Physical and Computing Sciences, Usmanu Danfodiyo University, Sokoto, Nigeria
2
Department of Mathematics, Faculty of Science, Kebbi State University of Science and Technology, Aleiro, Nigeria
3
Department of Physics, Faculty of Physical and Computing Sciences, Usmanu Danfodiyo University, Sokoto, Nigeria
4
Department of Mathematics, Faculty of Science, Zamfara State University, Talata Mafara, Nigeria
Received:
12
February
2025
Accepted:
9
April
2025
Published online:
7
May
2025
This study uses fractional derivatives in Caputo–Fabrizio (CF) and Atangana–Baleanu in Caputo sense (ABC) forms to provide a thorough investigation of heat transfer and flow dynamics in superhydrophobic microchannels with dusty fluid under magnetohydrodynamic (MHD) effects. The precision and flexibility of the model to transient thermal systems are improved by the fractional derivatives, which take nonlocal memory effects into account. The governing equations for temperature and velocity profiles are solved under laminar, incompressible flow conditions using the Riemann sum approximation (RSA) for numerical inversion of Laplace transforms. The findings show that while the ABC model provides longer thermal retention, the CF model is more appropriate for situations needing rapid thermal stabilization. The results of the study demonstrate the important role that fractional parameters play in heat transfer and velocity behaviors, allowing for customized solutions for a range of engineering systems. Applications include energy-efficient designs, cooling systems, and thermal insulation in sectors that need accurate fluid and temperature management.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
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.
