Magnetic-induced effects on the fluid flow through a porous tube
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Igor Pažanin
Abstract
In this paper, we will study the steady-state laminar flow of an electrically conducting fluid under the influence of a magnetic field through a tube with permeable walls. The fluid flow is described by a nonlinear system given by the Navier–Stokes equations taking into account magnetic-induced effects. The main goal is to investigate the effects of the porosity of the tube and the magnetic field on the fluid flow. Using asymptotic analysis with respect to the small parameter representing the ratio between the tube’s thickness and its length, we construct an explicit first-order approximation for the axial and radial velocity of the fluid. The first-order asymptotic approximation takes into account the porosity of the tube as well as the effects of the magnetic field on the fluid flow through the presence of the corresponding nondimensional parameters, and we illustrate this by providing numerical examples.
Funding source: Hrvatska Zaklada za Znanost
Award Identifier / Grant number: IP-2022-10-1091
Acknowledgments
The authors have been supported by the Croatian Science Foundation under the project AsyAn (IP-2022-10-1091). The authors would like to thank the referees for their helpful comments and suggestions that helped improve our paper.
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Research ethics: Not applicable.
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Informed consent: Not applicable.
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Author contributions: All authors have accepted responsibility for the entire content of this manuscript and approved its submission.
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Use of Large Language Models, AI and Machine Learning Tools: None declared.
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Conflict of interest: The authors state no conflict of interest.
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Research funding: The authors have been supported by the Croatian Science Foundation under the project AsyAn (IP-2022-10-1091).
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Data availability: Not applicable.
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