A Level Set-Based Solver for Two-Phase Incompressible Flows: Extension to Magnetic Fluids Article Swipe
Paria Makaremi-Esfarjani
,
Andrew Higgins
,
Alireza Najafi-Yazdi
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.1080/10618562.2024.2334073
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.1080/10618562.2024.2334073
Development of a two-phase incompressible solver for magnetic flows in the magnetostatic case is presented. The proposed numerical toolkit couples the Navier-Stokes equations of hydrodynamics with Maxwell's equations of electromagnetism to model the behaviour of magnetic flows in the presence of a magnetic field. To this end, a rigorous implementation of a second-order two-phase solver for incompressible nonmagnetic flows is introduced first. This solver is implemented in the finite-difference framework, where a fifth-order conservative level set method is employed to capture the evolution of the interface, along with an incompressible solver based on the projection scheme to model the fluids. The solver demonstrates excellent performance even with high density ratios across the interface (Atwood number $\approx 1$), while effectively preserving the mass conservation property. Subsequently, the numerical discretization of Maxwell's equations under the magnetostatic assumption is described in detail, utilizing the vector potential formulation. The primary second-order solver for two-phase flows is extended to the case of magnetic flows, by incorporating the Lorentz force into the momentum equation, accounting for high magnetic permeability ratios across the interface. The implemented solver is then utilized for examining the deformation of ferrofluid droplets in both quiescent and shear flow regimes across various susceptibility values of the droplets. The results suggest that increasing the susceptibility value of the ferrofluid droplet can affect its deformation and rotation in low capillary regimes. In higher capillary flows, increasing the magnetic permeability jump across the interface can further lead to droplet breakup as well. The effect of this property is also investigated for the Rayleigh-Taylor instability growth in magnetic fluids.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1080/10618562.2024.2334073
- OA Status
- green
- Cited By
- 3
- References
- 78
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- 10
- OpenAlex ID
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All OpenAlex metadata
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https://openalex.org/W4393982921Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1080/10618562.2024.2334073Digital Object Identifier
- Title
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A Level Set-Based Solver for Two-Phase Incompressible Flows: Extension to Magnetic FluidsWork title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2023Year of publication
- Publication date
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2023-08-09Full publication date if available
- Authors
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Paria Makaremi-Esfarjani, Andrew Higgins, Alireza Najafi-YazdiList of authors in order
- Landing page
-
https://doi.org/10.1080/10618562.2024.2334073Publisher landing page
- Open access
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YesWhether a free full text is available
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greenOpen access status per OpenAlex
- OA URL
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https://arxiv.org/pdf/2406.00836Direct OA link when available
- Concepts
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Extension (predicate logic), Solver, Compressibility, Set (abstract data type), Incompressible flow, Mechanics, Applied mathematics, Physics, Mathematics, Computer science, Mathematical optimization, Programming languageTop concepts (fields/topics) attached by OpenAlex
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3Total citation count in OpenAlex
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2025: 1, 2024: 2Per-year citation counts (last 5 years)
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78Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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| referenced_works | https://openalex.org/W1968412476, https://openalex.org/W2110143653, https://openalex.org/W2134406579, https://openalex.org/W2005383732, https://openalex.org/W2035400625, https://openalex.org/W1569090332, https://openalex.org/W3108060166, https://openalex.org/W3033416392, https://openalex.org/W3167501504, https://openalex.org/W2080922987, https://openalex.org/W2043554066, https://openalex.org/W4319773312, https://openalex.org/W2033160387, https://openalex.org/W3088750258, https://openalex.org/W2907937723, https://openalex.org/W936481127, https://openalex.org/W2127384957, https://openalex.org/W2008267485, https://openalex.org/W2078388274, https://openalex.org/W1964885918, https://openalex.org/W2115946533, https://openalex.org/W2060003021, https://openalex.org/W2045618004, https://openalex.org/W4313201664, https://openalex.org/W2901767019, https://openalex.org/W2025881348, https://openalex.org/W2763699499, https://openalex.org/W1969647398, https://openalex.org/W1989203959, https://openalex.org/W2084511214, https://openalex.org/W2034175611, https://openalex.org/W2995277983, https://openalex.org/W2891023635, https://openalex.org/W2054286780, https://openalex.org/W4231666203, https://openalex.org/W2922173494, https://openalex.org/W2995151790, https://openalex.org/W2146249148, https://openalex.org/W2911908920, https://openalex.org/W2039150507, https://openalex.org/W1991105160, https://openalex.org/W2035700168, https://openalex.org/W2002335991, https://openalex.org/W4386421624, https://openalex.org/W4206785172, https://openalex.org/W3099105722, https://openalex.org/W2045849310, https://openalex.org/W3206281061, https://openalex.org/W4224092407, https://openalex.org/W2062956086, https://openalex.org/W4281726960, https://openalex.org/W4311139332, https://openalex.org/W2036895361, https://openalex.org/W2003091152, https://openalex.org/W2116723694, https://openalex.org/W4237205460, https://openalex.org/W1647640579, https://openalex.org/W2617276396, https://openalex.org/W2015186073, https://openalex.org/W1587335451, https://openalex.org/W3153587648, https://openalex.org/W2152694125, https://openalex.org/W1238092070, https://openalex.org/W2807790647, https://openalex.org/W2032073910, https://openalex.org/W2045545335, https://openalex.org/W2023096107, https://openalex.org/W2115472437, https://openalex.org/W2121424091, https://openalex.org/W1984159978, https://openalex.org/W2012063891, https://openalex.org/W1994234801, https://openalex.org/W2281629398, https://openalex.org/W2005670795, https://openalex.org/W2054778983, https://openalex.org/W2966020116, https://openalex.org/W2964536009, https://openalex.org/W2312489179 |
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