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Properties of boundary-layer flow solutions for non-Newtonian fluids with non-linear terms of first and second-order derivatives

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Abstract

A third-order highly non-linear ODE that arises in applications of non-Newtonian boundary-layer fluid flow, governed by a power-law Ostwald–de Waele rheology, is considered. The model appears in many disciplines related to applied and engineering mathematics, in addition to engineering and industrial applications. The aim is to use a new set of variables, defined via the first and second-order derivatives of the dependent variable, to transform the problem to a bounded domain, where we study properties of solutions, discuss existence and uniqueness of solutions, and investigate some physical parameter values and limitations leading to non-existence of solutions.

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Acknowledgements

The researcher acknowledges the Deanship of Scientific Research at Al Imam Mohammad Ibn Saud Islamic University, Saudi Arabia, for financing this project under the Grant No. (381204).

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  1. Deanship of Scientific Research, Al Imam Mohammad Ibn Saud Islamic University, P.O. Box 90950, Riyadh, 11623, Saudi Arabia

    Samer Al-Ashhab

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  1. Samer Al-Ashhab
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Correspondence to Samer Al-Ashhab.

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Al-Ashhab, S. Properties of boundary-layer flow solutions for non-Newtonian fluids with non-linear terms of first and second-order derivatives. J Eng Math 123, 29–39 (2020). https://doi.org/10.1007/s10665-020-10053-8

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  • DOI: https://doi.org/10.1007/s10665-020-10053-8

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