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Dissolution of a cylindrical disk in Hele-Shaw flow: a conformal-mapping approach
Journal of Fluid Mechanics, 2020We apply conformal mapping to find the evolving shapes of a dissolving cylinder in a potential flow. Similar equations can be used to describe melting in a flowing liquid phase. Results are compared with microfluidic experiments and numerical simulations.
A. Ladd, Liang Yu, P. Szymczak
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Conform: a conformal mapping system
Proceedings of the fifth ACM symposium on Symbolic and algebraic computation - SYMSAC '86, 1986Conform consists of a collection of LISP routines that permit the real time manipulation and display of conformal mappings of one complex plane onto another.
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River reconstruction using a conformal mapping method
Environmental Modelling & Software, 2019Accurate river bathymetry is required for applications including hydrodynamic flow modelling and understanding morphological processes. Bathymetric measurements are typically a set of depths at discrete points that must be reconstructed into a continuous
J. Hilton +7 more
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IEEE transactions on energy conversion, 2018
This paper presents an iterative method based on conformal mapping and magnetic equivalent circuits for on-load analysis of saturated surface permanent magnet machines with integer slot and fractional slot windings.
A. Hanic +3 more
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This paper presents an iterative method based on conformal mapping and magnetic equivalent circuits for on-load analysis of saturated surface permanent magnet machines with integer slot and fractional slot windings.
A. Hanic +3 more
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SEMIGROUPS OF CONFORMAL MAPPINGS
Mathematics of the USSR-Sbornik, 1987Let \({\mathfrak L}_{\Gamma}\) denote the set of conformal mappings \(\phi\) of the disc \(E=\{z:| z|
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Conformal and quasi-conformal mappings
2016In this short section we shall introduce a class of mappings in \(\mathbb{C} \;\mathrm{and}\; \mathbb{B}\) named after the German mathematician AUGUST FERDINAND MOBIUS (1790–1868). In \(\it C l(n)\) this is also possible, but it is a bit more difficult, the reader is referred to our book [118].
Klaus Gürlebeck +2 more
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IEEE transactions on energy conversion, 2017
F. Rezaee‐Alam, B. Rezaeealam, J. Faiz
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F. Rezaee‐Alam, B. Rezaeealam, J. Faiz
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Graded infill design within free-form surfaces by conformal mapping
International Journal of Mechanical Sciences, 2022Liang Gao
exaly

