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The fact that moisture propagates in soils at a finite speed is confirmed by natural everyday experience as well as by controlled laboratory tests. In this text, we rigorously derive analytical upper bounds for the speed of moisture front…

Analysis of PDEs · Mathematics 2026-01-21 Bettina Detmann , Chiara Gavioli , Pavel Krejčí , Yanyan Zhang

This research is focused on linear analysis of a plane-parallel flow stability in a transverse magnetic field (Hartmann flow) within a convective approximation. We derive and solve equations describing the perturbation growth. Perturbation…

Fluid Dynamics · Physics 2015-02-27 I. Yu. Kalashnikov

In this study, we employ a cloud-resolving model (CRM) to investigate how gravity influences convection and clouds in a small-domain (96 km by 96 km) radiative-convective equilibrium (RCE). Our experiments are performed with a horizontal…

Earth and Planetary Astrophysics · Physics 2023-02-22 Jiachen Liu , Jun Yang , Yixiao Zhang , Zhihong Tan

A disordered quasi-liquid layer of water is thought to cover the ice surface, but many issues, such as its onset temperature, its thickness, or its actual relation to bulk liquid water have been a matter of unsettled controversy for more…

Soft Condensed Matter · Physics 2026-01-22 Luis G. MacDowell

Liquid drops slide more slowly over soft, deformable substrates than over rigid solids. This phenomenon can be attributed to the viscoelastic dissipation induced by the moving wetting ridge, which inhibits a rapid motion, and is called…

Soil moisture-precipitation (SM-PPT) feedbacks at the mesoscale represent a major challenge for numerical weather prediction, especially for subtropical regions that exhibit large variability in surface SM. How does surface heterogeneity,…

Atmospheric and Oceanic Physics · Physics 2023-04-11 Divyansh Chug , Francina Dominguez , Christopher M Taylor , Cornelia Klein , Stephen W Nesbitt

In this paper the motion of two-phase, incompressible, viscous fluids with surface tension is investigated. Three cases are considered: (1) the case of heat-conducting fluids, (2) the case of isothermal fluids, and (3) the case of Stokes…

Analysis of PDEs · Mathematics 2016-12-19 Gieri Simonett , Mathias Wilke

Rain affects the buoyancy of the upper ocean in two ways: The freshwater flux in rain makes the water fresher and lighter, stabilizing the ocean (a negative buoyancy flux). The convective systems that produce rain are often accompanied by…

Atmospheric and Oceanic Physics · Physics 2025-06-02 Dipanjan Chaudhuri , Eric D'Asaro

We study condensation and evaporation of particles which repel each other, using a simple set of rules on a square lattice. Different results are obtained for a mobile and an immobile surface layer.A two point limit cycle is observed for…

Soft Condensed Matter · Physics 2009-11-10 T Dutta , N I Lebovka , S Tarafdar

We examine the evaporation-induced coalescence of two droplets undergoing freezing by conducting numerical simulations employing the lubrication approximation. When two sessile drops undergo freezing in close vicinity over a substrate, they…

Surface patterns on ablating materials are observed in high-speed ground and flight tests, but the mechanisms behind their formation are not known. In this paper, the origin of surface patterns is investigated via a local linear stability…

Fluid Dynamics · Physics 2026-01-14 Blaine Vollmer , Alberto Padovan , Daniel J. Bodony

Wavy pattern of ice with a specific wavelength occurs during ice growth from a thin layer of undercooled water flowing down the surface of icicles or inclined plane. In the preceding paper [K. Ueno, Phys. Rev. E {\bf 68}, 021603 (2003)], we…

Materials Science · Physics 2009-11-10 K. Ueno

In an earlier study, we reported on the excitation of large-scale vortices in Cartesian hydrodynamical convection models subject to rapid enough rotation. In that study, the conditions of the onset of the instability were investigated in…

Solar and Stellar Astrophysics · Physics 2015-05-30 Maarit J. Mantere , Petri J. Käpylä , Thomas Hackman

Evaporating suspensions of colloidal particles lead to the formation of a variety of patterns, ranging from a left-over ring of a dried coffee drop to uniformly distributed solid pigments left behind wet paint. To characterize the…

Soft Condensed Matter · Physics 2014-11-19 C. Nadir Kaplan , L. Mahadevan

Rough surfaces submerged in a liquid can remain almost dry if the liquid does not fully wet the roughness and gases are sustained in roughness grooves. Such partially dry surfaces can help reduce drag or enhance boiling. Gases sustained in…

Soft Condensed Matter · Physics 2016-06-20 Neelesh A. Patankar

Stably stratified layers are thought to develop at the top of the liquid metallic cores of many terrestrial planets. We consider the case where the thermal gradient is stable but the compositional gradient is unstable, a situation…

Fluid Dynamics · Physics 2025-11-17 Martin Gray , Celine Guervilly , Graeme Sarson

It is well-known that evaporation can lead to cooling. However, little is known that evaporation can actually create a refrigeration effect, i.e., the vapor phase temperature can drop below the temperature of the cooling wall. This…

Statistical Mechanics · Physics 2025-09-30 Peiyi Chen , Qin Li , Gang Chen

Starch-water slurries are commonly used to study fracture dynamics. Drying starch-cakes benefit from being simple, economical, and reproducible systems, and have been used to model desiccation fracture in soils, thin film fracture in paint,…

Soft Condensed Matter · Physics 2013-05-29 Lucas Goehring

In an incompressible flow, fluid density remains invariant along fluid element trajectories. This implies that the spatial distribution of non-interacting noninertial particles in such flows cannot develop density inhomogeneities beyond…

Fluid Dynamics · Physics 2019-01-30 Gábor Drótos , Pedro Monroy , Emilio Hernández-García , Cristóbal López

Ice-templating produces materials with aligned, elongated pores via directional solidification of particle suspensions, sublimation of the solidified fluid, and sintering of the particle walls. Most ice-templating studies utilize upward…

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