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pro vyhledávání: '"Morrow, Liam C."'
When a viscous fluid partially fills a Hele--Shaw channel, and is pushed by a pressure difference, the fluid interface is unstable due to the Saffman--Taylor instability. We consider the evolution of a fluid region of finite extent, bounded between t
Externí odkaz:
http://arxiv.org/abs/2308.08846
The displacement of a viscous liquid by a gas within a Hele-Shaw cell is a classical problem. The gas-liquid interface is hydrodynamically unstable, forming striking finger-like patterns that have been the subject of intense focus. Generally, both th
Externí odkaz:
http://arxiv.org/abs/2302.14730
Traditional mathematical models of Hele--Shaw flow consider the injection (or withdrawal) of an air bubble into (or from) an infinite body of viscous fluid. The most commonly studied feature of such a model is how the Saffman-Taylor instability drive
Externí odkaz:
http://arxiv.org/abs/2206.12602
Publikováno v:
Journal of the Mechanics and Physics of Solids, 164:104892, 2022
Various biological and chemical processes lead to the nucleation and growth of non-wetting fluid bubbles within the pore space of a granular medium, such as the formation of gas bubbles in liquid-saturated lake-bed sediments. In sufficiently soft por
Externí odkaz:
http://arxiv.org/abs/2112.09864
The classical model for studying one-phase Hele-Shaw flows is based on a highly nonlinear moving boundary problem with the fluid velocity related to pressure gradients via a Darcy-type law. In a standard configuration with the Hele-Shaw cell made up
Externí odkaz:
http://arxiv.org/abs/2101.07447
Publikováno v:
Phys. Rev. E 100, 053109 (2019)
We study a model for the evolution of an axially symmetric bubble of inviscid fluid in a homogeneous porous medium otherwise saturated with a viscous fluid. The model is a moving boundary problem that is a higher-dimensional analogue of Hele-Shaw flo
Externí odkaz:
http://arxiv.org/abs/1907.09066
The problem of melting a crystal dendrite is modelled as a quasi-steady Stefan problem. By employing the Baiocchi transform, asymptotic results are derived in the limit that the crystal melts completely, extending previous results that hold for a spe
Externí odkaz:
http://arxiv.org/abs/1901.01247
Viscous fingering experiments in Hele-Shaw cells lead to striking pattern formations which have been the subject of intense focus among the physics and applied mathematics community for many years. In recent times, much attention has been devoted to
Externí odkaz:
http://arxiv.org/abs/1901.00288
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Publikováno v:
In Journal of the Mechanics and Physics of Solids July 2022 164