Melting and dissolving of a vertical solid surface with laminar compositional convection

2011 ◽  
Vol 687 ◽  
pp. 118-140 ◽  
Author(s):  
Andrew J. Wells ◽  
M. Grae Worster

AbstractWe consider laminar compositional convection of buoyant melt released by ablation of a vertical solid surface into a two-component fluid. Asymptotic solutions are used to describe separate cases: the ablation rate is either controlled by thermal transport, corresponding to melting, or by solutal transport, corresponding to dissolution. Melting is faster and generates a stronger flow than dissolving. We determine the temperature and solute concentration conditions leading to either melting or dissolving and find that these conditions do not vary with the strength of the buoyancy that drives convective flow.

2010 ◽  
Vol 66 (5-6) ◽  
pp. 742-747 ◽  
Author(s):  
V.R. Dushin ◽  
V.F. Nikitin ◽  
Yu.G. Phylippov ◽  
J.C. Legros

2000 ◽  
Vol 22 (1) ◽  
pp. 29-38
Author(s):  
H. D. Lien ◽  
I. S. Antonov

In ventilation devices to get rid of harmful substances out of workingplaces, we use sucking devices. The local sources of pollution are evacuated by them. Abasic element when creating the model of sucking device is: the source of harmful substancesis discussed as a rising convective flow, which is ejected out of sucking spectrum,created by a sucking apparatus. In the present work, the flow is a whole one with variablequantity of motion and kinetic energy along it's length. The change in those twoparameters is caused by and is in dependent function of the inlet spectrum. There hasbeen discussed a two-component flow of air and gas in ventilation devices. A two-velocityscheme of flow is used to realise the numerical method. An integral method of investigationis used, based on the conditions of conservation of mass contents, quantity of motion andkinetic energy. It's been accepted that quantity of motion and energy change in functionof inlet action. A comparison of numerical results and natural experiment are made fortwo conditions: full suck and not full suck. Conclusion is that the present model is preciseand can be unset for engineering calculations.


Materials ◽  
2019 ◽  
Vol 12 (13) ◽  
pp. 2043 ◽  
Author(s):  
Zhe Kan ◽  
Qinghua Zhu ◽  
Haizhou Ren ◽  
Mengyan Shen

Nanostructured regular patterns on silicon surface are made by using femtosecond laser irradiations. This is a novel method that can modify the surface morphology of any large material in an easy, fast, and low-cost way. We irradiate a solid surface with a 400-nm double frequency beam from an 800-nm femtosecond laser, while the solid surface is submerged in a liquid or exposed in air. From the study of multiple-pulses and single-pulse irradiations on silicon, we find the morphologies of nanospikes and capillary waves to follow the same distribution and periodicity. Thermal transport near the solid surface plays an important role in the formation of patterns; a simulation was done to fully understand the mechanism of the pattern formation in single pulse irradiation. The theoretical models include a femtosecond laser pulse function, a two-temperature model (2-T model), and an estimation of interface thermal coupling. The evolution of lattice temperature over time will be calculated first without liquid cooling and then with liquid cooling, which has not been well considered in previous theoretical papers. The lifetime of the capillary wave is found to be longer than the solidification time of the molten silicon only when water cooling is introduced. This allows the capillary wave to be frozen and leaves interesting concentric rings on the silicon surface. The regular nanospikes generated on the silicon surface result from the overlapping capillary waves.


Nanoscale ◽  
2015 ◽  
Vol 7 (38) ◽  
pp. 15701-15710 ◽  
Author(s):  
Gersh O. Berim ◽  
Eli Ruckenstein

A two-component fluid consisting of a lubricating fluid (LF) that covers a rough solid surface (surface decorated by periodic array of identical pillars) and a test fluid (TF) as a nanodrop over LF is considered.


2015 ◽  
Vol 765 ◽  
pp. 211-228 ◽  
Author(s):  
Ross C. Kerr ◽  
Craig D. McConnochie

AbstractWe examine the dissolution of a vertical solid surface in the case where the heat and mass transfer is driven by turbulent compositional convection. A theoretical model of the turbulent dissolution of a vertical wall is developed, which builds on the scaling analysis presented by Kerr (J. Fluid Mech., vol. 280, 1994, pp. 287–302) for the turbulent dissolution of a horizontal floor or roof. The model has no free parameters and no dependence on height. The analysis is tested by comparing it with laboratory measurements of the ablation of a vertical ice wall in contact with salty water. The model is found to accurately predict the dissolution velocity for water temperatures up to approximately 5–$6\,^{\circ }\text{C}$, where there is a transition from turbulent dissolution to turbulent melting. We quantify the turbulent convective dissolution of vertical ice bodies in the polar oceans, and compare our results with some field observations.


Sign in / Sign up

Export Citation Format

Share Document