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Thompson and Troian velocity slip flow of the Casson hybrid nanofluid past a Darcy–Forchheimer porous inclined surface with Ohmic heating, Dufour and Soret effects

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Abstract

A model of magnetohydrodynamic (MHD) flow of non-Newtonian Casson hybrid nanofluid past a Darcy–Forchheimer porous inclined surface has been considered. Consequences of volumetric thermal and mass expansions along with Thompson and Troian velocity slip constraints on flow profiles have been investigated. Heat and mass transfer have been manipulated over heat absorption, Dufour and Soret effects, Ohmic heating (irreversible process in which electrical energy is transformed into thermal energy) and chemical reactions. Suspensions of single-walled carbon nanotube (SWCNT) and multi-walled carbon nanotube (MWCNT) in engine oil (EO) have been accounted to enhance thermal performance. Suitable similarity transformation has been incorporated to reduce the proposed model equations into a dimensionless system of ordinary differential equations. Galerkin finite element method has been employed to numerically solve the system. Comparison of velocity, thermal and concentration profiles of mono and hybrid nanofluids has been studied using graphs and tables. It is concluded that the velocity and thermal profiles of hybrid nanofluid dominate over the nanofluid whereas the opposite behaviour is followed by concentration profile. Velocity and temperature decrease with velocity slip parameter and Soret number whereas mass distribution escalates. Opposite behaviour has been observed for Dufour number. Maximum increment in heat transfer has been observed for the Dufour number which is approximately 31%. Analogy between the results obtained in this study and already published work has been established.

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Acknowledgements

The authors would like to acknowledge the financial funding to this work by the University Grants Commission (UGC), New Delhi under NTA Ref. No. 211610058438.

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  1. Department of Mathematics, Malaviya National Institute of Technology, Jaipur, 302 017, India

    Santosh Chaudhary & Jyoti Deshwal

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  1. Santosh Chaudhary
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Correspondence to Santosh Chaudhary.

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Chaudhary, S., Deshwal, J. Thompson and Troian velocity slip flow of the Casson hybrid nanofluid past a Darcy–Forchheimer porous inclined surface with Ohmic heating, Dufour and Soret effects. Pramana - J Phys 98, 55 (2024). https://doi.org/10.1007/s12043-024-02738-x

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