Iceberg meltwater is a critical freshwater flux from the cryosphere to oceans. Global climate simulations therefore require simple and accurate parameterisations of iceberg melting. shape an important but often neglected aspect Icebergs have enormous range shapes sizes, distinct processes dominate basal side We show how different ratios relative ambient water velocities affect melting using combined experimental numerical study. The results significant variations in between faces, as well...

The classical Rayleigh-B\'enard convection problem where the melting temperature of material is comprised between two imposed temperatures revisited. equilibrium interface phases can be flat in purely diffusive regime or corrugated when thermal liquid phase kicks in. Close to transition, bistability solutions observed.

We report an idealized numerical study of a melting and freezing solid adjacent to turbulent, buoyancy-affected shear flow, in order improve our understanding topography generation by phase changes the environment. use phase-field method dynamically couple heat equation for with Navier-Stokes equations fluid. investigate evolution initially-flat horizontal boundary overlying pressure-driven turbulent flow. assume linear state fluid change sign thermal expansion coefficient, such that...

Liquid–liquid phase separation is key to understanding aqueous two-phase systems (ATPS) arising throughout cell biology, medical science, and the pharmaceutical industry. Controlling detailed morphology of phase-separating compound droplets leads new technologies for efficient single-cell analysis, targeted drug delivery, effective scaffolds wound healing. We present a computational model liquid–liquid relevant recent laboratory experiments with gelatin–polyethylene glycol mixtures. include...

Abstract Antarctic ice shelves are losing mass at increasing rates, yet the ice‐ocean interactions that cause significant loss not well understood. A new approach of high‐resolution phase‐change simulations is used to model vertical melting into a stratified ocean. The ocean dynamics show complicated interplay between turbulent buoyant meltwater plume and double‐diffusive layers, while actively melts changes topography. At room temperatures, layer thickness closely linked scalloping. lower,...

We develop and analyse the first second-order phase-field model to combine melting dissolution in multi-component flows. This provides a simple accurate way simulate challenging phase-change problems existing codes. Phase-field models simplify computation by describing separate regions using smoothed phase field. The field eliminates need for complicated discretizations that track moving boundary. However, standard are only first-order accurate. They often incur an error proportional...

In this study, we analyse ‘magneto-Stokes’ flow, a fundamental magnetohydrodynamic (MHD) flow that shares the cylindrical-annular geometry of Taylor–Couette cell but uses applied electromagnetic forces to circulate free-surface layer electrolyte at low Reynolds numbers. The first complete, analytical solution for time-dependent magneto-Stokes is presented and validated with coupled laboratory numerical experiments. Three regimes are distinguished (shallow-layer, transitional deep-layer...

<p>In this talk I will present preliminary results of direct numerical simulations ice melting in a turbulent stratified shear flow. The model solves the evolution fluid phase and diffusive solid phase, due to freezing, fully coupled way. This is done by combining Direct Numerical Simulation (DNS) code with novel formulation equations for liquid phases water based on phase-field method. DNS enables motions be simulated without approximation, i.e. solving Navier Stokes...

We provide an elementary derivation of orthogonal coordinate system for boundary layers around evolving smooth surfaces and curves based on the signed-distance function. go beyond previous works function collate useful vector calculus identities these coordinates. These results provided code enable consistent accounting geometric effects in layer asymptotics a wide range physical systems.

We provide an elementary derivation of orthogonal coordinate system for boundary layers around evolving smooth surfaces and curves based on the signed-distance function. go beyond previous works function collate useful vector calculus identities these coordinates. These results provided code enable consistent accounting geometric effects to arbitrary order layer asymptotics in a wide range physical systems.

Liquid-liquid phase separation is key to understanding aqueous two-phase systems (ATPS) arising throughout cell biology, medical science, and the pharmaceutical industry. Controlling detailed morphology of phase-separating compound droplets leads new technologies for efficient single-cell analysis, targeted drug delivery, effective scaffolds wound healing. We present a computational model liquid-liquid relevant recent laboratory experiments with gelatin-polyethylene glycol mixtures. include...

We analyse a magnetohydrodynamic flow inspired by the kinematic reversibility of viscous Taylor-Couette flows. The system considered here shares cylindrical-annular geometry cell, but uses applied electromagnetic forces to drive "magneto-Stokes" in shallow, free-surface layer electrolyte. An analytical solution is presented and validated with coupled laboratory numerical experiments. dominant balance Lorentz forcing basal drag reproduces observed G.I. Taylor precise control. Induced fluid...