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Radiative and magnetohydrodynamic micropolar hybrid nanofluid flow over a shrinking sheet with Joule heating and viscous dissipation effects

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Abstract

This study examines the radiative and magnetohydrodynamic micropolar fluid flow over a stretching/shrinking sheet consisting of Al2O3 and Cu nanoparticles. Besides, the effects of the Joule heating and viscous dissipation are taken into consideration. The similarity variables are employed to convert the governing equations into similarity equations. Then, the bvp4c in MATLAB is utilized to obtain the numerical results. The accuracy of the current formulation and method has been done by comparing the present results with those previously published data. Findings discovered that two solutions are obtained for the limited range of \(S\) and \(K\), and these solutions are terminated at \(S = S_{c}\) and \(K = K_{c}\). The influence of \({\text{Ec}}\) and \(R\) is to reduce the local Nusselt number of \({\text{Re}}_{x}^{ - 1/2} {\text{Nu}}_{x}\). Meanwhile, the values of \({\text{Re}}_{x}^{ - 1/2} {\text{Nu}}_{x}\) increase with the increase in \(\varphi_{{{\text{hnf}}}}\) when larger values of \(R\) are considered. The rise of \(M\) contributes to the increment in the values of \({\text{Re}}_{x}^{1/2} C_{f}\), \({\text{Re}}_{x} M_{w}\), and \({\text{Re}}_{x}^{ - 1/2} {\text{Nu}}_{x}\), but the effect of \(K\) lowers the values of these physical quantities. Lastly, it was discovered that the first solution is physically reliable and in a stable mode.

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Acknowledgements

The financial supports received from the Universiti Kebangsaan Malaysia (Project Code: DIP-2020-001) and the Universiti Teknikal Malaysia Melaka are gratefully acknowledged.

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Authors and Affiliations

  1. Fakulti Teknologi Kejuruteraan Mekanikal Dan Pembuatan, Universiti Teknikal Malaysia Melaka, Hang Tuah Jaya, 76100, Durian Tunggal, Melaka, Malaysia

    Iskandar Waini

  2. Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600, UKM Bangi, Selangor, Malaysia

    Iskandar Waini & Anuar Ishak

  3. Department of Mathematics, Babeş-Bolyai University, 400084, Cluj-Napoca, Romania

    Ioan Pop

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  1. Iskandar Waini
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  2. Anuar Ishak
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Correspondence to Anuar Ishak.

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Waini, I., Ishak, A. & Pop, I. Radiative and magnetohydrodynamic micropolar hybrid nanofluid flow over a shrinking sheet with Joule heating and viscous dissipation effects. Neural Comput & Applic 34, 3783–3794 (2022). https://doi.org/10.1007/s00521-021-06640-0

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