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Diffusion of dual diffusive chemically reactive Casson nanofluid under Darcy–Forchheimer porosity and Robin conditions from a vertical convective surface: a comparative analysis using HAM and collocation procedures

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Abstract

This investigation reports Casson liquid stretching flow persuaded by convectively heated permeable surface. Porous medium effects under Darcy–Forchheimer relation are scrutinized. Nonlinear version of thermo-solutal buoyant forces (i.e., nonlinear mixed convection) is introduced. Nanoliquid model features thermophoresis and Brownian diffusions. Characteristics of heat transfer are elaborated considering heat absorption, thermal radiation, Robin conditions and heat generation. Mass transfer effects are addressed considering chemical reaction. Similarity approach assists to simplify governing expressions (partial differential equations) into the ordinary ones, and these ordinary differential expressions are tackled analytically (via homotopy analysis scheme) and numerically (via bvp4c scheme). The obtained results via homotopy and bvp4c methods are also validated. Besides, the consequence of multiple emerging parameters on dimensionless profiles is investigated via graphs and tables. It is scrutinized that velocity is strongly enhanced with increasing nonlinear mixed convection parameter while it diminishes with increasing Casson fluid parameter, inertia coefficient parameter and porosity parameter.

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Acknowledgement

The authors would like to thank the Deanship of Scientific Research at Umm Al-Qura University for supporting this work by Grant Code: (23UQU4331317DSR123).

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Authors and Affiliations

  1. Faculty of Informatics and Computing, University Sultan Zainal Abidin, Besut Campus, 22200, Besut, Terengganu, Malaysia

    Muhammad Nasir & Nurnadiah Zamri

  2. NUTECH School of Applied Science and Humanities, National University of Technology, Islamabad, 44000, Pakistan

    Muhammad Waqas

  3. Department of Mechanical Engineering, Lebanese American University, Beirut, Lebanon

    Muhammad Waqas

  4. Department of Mechanical Engineering, College of Engineering, University of Ha’il, Ha’il, 81451, Saudi Arabia

    Nidhal Ben Khedher

  5. Laboratory of Thermal and Energy Systems Studies, National School of Engineering of Monastir, University of Monastir, 5000, Monastir, Tunisia

    Nidhal Ben Khedher

  6. Mechanical Engineering Department, College of Engineering and Islamic Architecture, Umm Al-Qura University, P.O. Box 5555, Makkah, 21955, Saudi Arabia

    Kamel Guedri

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Correspondence to Muhammad Waqas.

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Nasir, M., Waqas, M., Zamri, N. et al. Diffusion of dual diffusive chemically reactive Casson nanofluid under Darcy–Forchheimer porosity and Robin conditions from a vertical convective surface: a comparative analysis using HAM and collocation procedures. Comp. Part. Mech. 10, 1267–1279 (2023). https://doi.org/10.1007/s40571-022-00547-w

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