TY - JOUR

T1 - Mesoscopic dynamics of solid-liquid interfaces. a general mathematical model

AU - Meirmanov, A.

AU - Omarov, N.

AU - Tcheverda, V.

AU - Zhumaly, A.

PY - 2015/12/3

Y1 - 2015/12/3

N2 - A number of chemical and physical processes occur at interfaces where solids meet liquids. Among them is heap and in-situ leaching, an important technological process to extract uranium, precious metals, nickel, copper and other compound. To understand the main peculiarities of these processes a general mathematical approach is developed and applied. Its key point is new conditions at the free (unknown) boundary between liquid and solid phases (pore space-solid skeleton). The developed model can be used to analyze the dependence of the dynamics of the free fluid-skeleton interface on the external parameters of the process, like temperature, pressure, reagent concentration and others. Therefore, the overall behavior of the process can be controlled either by the rate of chemical reaction on the free interface via reagent concentration or by the velocity at which dissolved substances are transported to or from the free surface. The special attention is paid to a plausible justification of upscaling from mesoscopic to macroscopic scales and its comparison with approaches usually used at the moment. Several examples illustrate the feasibility of the models.

AB - A number of chemical and physical processes occur at interfaces where solids meet liquids. Among them is heap and in-situ leaching, an important technological process to extract uranium, precious metals, nickel, copper and other compound. To understand the main peculiarities of these processes a general mathematical approach is developed and applied. Its key point is new conditions at the free (unknown) boundary between liquid and solid phases (pore space-solid skeleton). The developed model can be used to analyze the dependence of the dynamics of the free fluid-skeleton interface on the external parameters of the process, like temperature, pressure, reagent concentration and others. Therefore, the overall behavior of the process can be controlled either by the rate of chemical reaction on the free interface via reagent concentration or by the velocity at which dissolved substances are transported to or from the free surface. The special attention is paid to a plausible justification of upscaling from mesoscopic to macroscopic scales and its comparison with approaches usually used at the moment. Several examples illustrate the feasibility of the models.

KW - Fluid flow

KW - Leaching

KW - Solid-liquid interface

UR - http://www.scopus.com/inward/record.url?scp=84995543696&partnerID=8YFLogxK

U2 - 10.17377/semi.2015.12.075

DO - 10.17377/semi.2015.12.075

M3 - Article

AN - SCOPUS:84995543696

VL - 12

SP - 884

EP - 900

JO - Сибирские электронные математические известия

JF - Сибирские электронные математические известия

SN - 1813-3304

IS - SpecialIssue1

ER -