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Numerical study for unsteady Casson fluid flow with heat flux using a spectral collocation method

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Abstract

There is a crucial necessity for enhancing the efficiency of the solution of problem describing the non-Newtonian fluid flow over a stretching sheet to improve proficient the mechanism of heat transfer in numerous practical applications. For this aim, an efficient spectral collocation method is implemented in this paper to present the numerical solution for the flow and heat transfer of a non-Newtonian Casson model together with the presence of viscous dissipation and variable heat flux, with reference herein to the slip velocity and the heat generation or absorption condition. The absence of the magnetic field phenomenon in some studies is an essential restriction in the processes of development for the energy-efficient heat transfer mechanism that is desired in numerous industrial applications. So, the magnetic field is implemented here for this Casson model. Industrially, this type of fluid can describe the flow of blood in an industrial artery, which can be polished by a material governing the blood flow. The spectral collocation method based on Chebyshev polynomials of the third kind is employed to solve the resulting system of ODEs which describes the problem. This scientific study encompasses many parameters such as unsteadiness parameter, slip velocity parameter, Casson parameter, local Eckert number, heat generation parameter, and the Prandtl number. From this study, it has been consummated that the Casson model is superior to others that are much used as the industrial fluid. Finally, the given results show that the spectral collocation method is an easy and efficient tool to investigate the solution for such models.

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Acknowledgements

The author thanks the Deanship of Academic Research, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, KSA, for the financial support of the project number (18-11-12-005).

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Authors and Affiliations

  1. Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia

    M. M. Khader

  2. Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt

    M. M. Khader

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Correspondence to M. M. Khader.

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Khader, M.M. Numerical study for unsteady Casson fluid flow with heat flux using a spectral collocation method. Indian J Phys 96, 777–786 (2022). https://doi.org/10.1007/s12648-021-02025-0

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