Unsteady Mixed Convective Flow of Casson Nanofluid in a Darcy-Forchheimer Medium with Slip and Temperature Jump Condition


Authors : O.A. Ajala; S.D. Ogundiran; S.O. Salawu

Volume/Issue : Volume 9 - 2024, Issue 1 - January

Google Scholar : http://tinyurl.com/dyxb384n

Scribd : http://tinyurl.com/3mzwru7a

DOI : https://doi.org/10.5281/zenodo.10598742

Abstract : Sequel to the need to improve output, there is a growing demand to optimize the thermal conductivity and proficiency of industrial-based fluids. Consequently, viscous non-Newtonian fluids carrying nanoparticles may be utilized as a material to satisfy engineering and industrial demands for increased productivity. This may be applicable to electronic devices, technological devices, biomedical sciences, and other fields. As a result, this work examined unsteady mixed convective flow of Casson nanofluid in a non-Darcy channel with slip and temperature jump constraints. Shooting approach and fourth-order Runge-Kutta method were used to provide the solution to the dimensionless formulated model. Examined are the effects of the ingrained relevant dynamical terms on the flow characteristics, and graphs and tabular presentations of the calculated outcomes are used to elucidate the findings. The study's findings showed that the diffusion of small particles into a fluid boosted thermal conductivity. In addition, the flow rate decreased as the Hartmann number and Forchheimer dynamical term increased. The findings of this study have applications in manufacturing, engineering, and other fields of sciences and technologies.

Keywords : Casson Nanofluid; Darcy-Forchheimer Medium; Mixed Convection; Temperature Jump; Unsteady; Velocity Slip.

Sequel to the need to improve output, there is a growing demand to optimize the thermal conductivity and proficiency of industrial-based fluids. Consequently, viscous non-Newtonian fluids carrying nanoparticles may be utilized as a material to satisfy engineering and industrial demands for increased productivity. This may be applicable to electronic devices, technological devices, biomedical sciences, and other fields. As a result, this work examined unsteady mixed convective flow of Casson nanofluid in a non-Darcy channel with slip and temperature jump constraints. Shooting approach and fourth-order Runge-Kutta method were used to provide the solution to the dimensionless formulated model. Examined are the effects of the ingrained relevant dynamical terms on the flow characteristics, and graphs and tabular presentations of the calculated outcomes are used to elucidate the findings. The study's findings showed that the diffusion of small particles into a fluid boosted thermal conductivity. In addition, the flow rate decreased as the Hartmann number and Forchheimer dynamical term increased. The findings of this study have applications in manufacturing, engineering, and other fields of sciences and technologies.

Keywords : Casson Nanofluid; Darcy-Forchheimer Medium; Mixed Convection; Temperature Jump; Unsteady; Velocity Slip.

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