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The models are compared to several experimental data and different mathematical aspects of the problem are tested, too. The results show that it is possible to reproduce the experimental data. It is further shown that a nonlinear pressure drop, often arising in cake filtration, can be explained by the model without considering compression of ...

F. Bouchelaghem, L. Vulliet, Mathematical and numerical filtration–advection–dispersion model of miscible grout propagation in saturated porous media, International Journal for Numerical and Analytical Methods in Geomechanics, 10.1002/nag.173, 25, 12, (1195-1227), (2001).

Jun 01, 2021 Here, we present a systematic experimental study of limestone replacement in the model system calcite-fluorite varyingmore By combining X-ray ((U)SAXS) and neutron (ultra) small-angle scattering ((U)SANS) we quantified changes in the porosity as a …

In contrast with the specific mathematical models discussed above, simulation with commercial software provides a user-friendly, yet rigorous, approach for designing and optimizing process units for different process conditions. This work aims at simulating two processes –wet limestone and wet CKD– for capturing sulfur dioxide in

Figure 1 shows a scheme of the wet limestone process. Flue gas desulfurization occurs in the absorption tower, where a calcium carbonate mixture removes SO 2 by chemical absorption. The precipitated gypsum contained in the liquid outlet stream is removed by filtration. Only one filter is needed for solid separation since gypsum

A one-dimensional mathematical model was developed for the simulation of limestone calcination in rotary kilns. The model is comprised of ordinary differential equations derived from mass and energy conservation principles. The system of equations is solved by a fourth-order Runge-Kutta method. The model predicts, in the axial direction, temperature profiles for the bed of particles, the gas ...

Sep 05, 2021 The Thomas and Yoon–Nelson models provided a better correlation for both limestone (r 2 = 0.933) and anthracite coal (r 2 = 0.88) compared with that of the Adam Bohart model. The adsorption of Fe onto both filter media influenced by the interphase mass transfer and chemical reaction kinetics.

Double porosity models for the liquid filtration in a naturally fractured reservoir is derived from the homogenization theory. The governing equations on the microscopic level consist of the stationary Stokes system for an incompressible viscous fluid, occupying a crack-pore space (liquid domain), and stationary Lame equations for an incompressible elastic solid skeleton, coupled with the ...

the specific filtration materials. For this purpose previously developed mathematical models for the process of air filtration should be applied. This article presents a probabilistic model of air filtration process elaborated for fflter papers made of glass fibre. The applied method of modelling allowed to select the most important

Jun 01, 2021 Using the visual cortex as a model in the human brain, the research group led by ERC-award-winner Thomas Pock has developed new mathematical models and algorithms as the basis for faster and more intelligent image processing programs.

This mathematical model was then used to predict and correlate the rate of filtration flux decay with respect to filtration time during crossflow filtration. The model provided acceptable accuracy and is an improvement on existing empirical models for the flux decay period. ... The filtration of limestone slurries with three different tubular ...

The fate of pathogens was quantified by a mathematical model describing colloid transport in a set of three-dimensional, parallel fractures with ... filtration theory [Yao et al. , 1971]. Viruses are at the lower ... limestone and dolomite deposits. As illustrated in Figure 2, Miocene deposits ...

Apr 24, 2020 A mathematical model is a description of a system using mathematical language. Mathematical models are used not only in the natural sciences and engineering disciplines but they are also used in biology, economics and sociology. Mathematical models can range from simple to complex. Keep reading to learn how to build a mathematical model.

ADVERTISEMENTS: After reading this article you will learn about:- 1. Types of Mathematical Models 2. Structure of Mathematical Models 3. Characteristics 4. Advantages 5. Disadvantages. Types of Mathematical Models: Models may be classified as: (1) Iconic (Sale) Model: ADVERTISEMENTS: An iconic model is a physical replica of a system usually based on a different scale […]

Jan 18, 2021 The World Health Organization (WHO) officially declared COVID-19 a pandemic in March of 2020 (ref. 1).Eight months later, over 52 million people have tested positive for the virus resulting in ...

Such geomorphological patterns are ubiquitous in nature and similar patterns appear in limestone rocks, on river beds, meteorites and glaciers. ... We are developing mathematical models of the flow through a ceramic filtration membrane, which are used to provide understanding of the physical system and consequently the model results advise the ...

It combines aeration, limestone stabilization and filtration in one tank (Mackintosh, De Souza and De Villiers, 2003). The raw groundwater is first aerated to ... MATHEMATICAL MODEL OF LIMESTONE DISSOLUTION As CaCO3 dissolves from the limestone contactor media, ... used Equation 12 and 13 to model the limestone dissolution process in a ...

A model for steady and unsteady state particle size distribution (PSD) of limestone including the effects of PSD of the feed, attrition, fly ash, and bottom ash removal is presented. By incorporating models for sulfation, a new model for distribution of Ca-containing compounds CaCO 3, CaO, and CaSO 4 in different particle sizes during sulfation ...

Jan 01, 2015 Mathematical model implies a basic differential equation of groundwater flow (Boussinesq's equation), the initial and boundary conditions. In this paper, a computer program Comet was used. Comet is multifunctional CCM software written in ANSI standard C and ANSI FORTRAN 77, the Linux operating system, to solving problems of continuum mechanics ...

What does mathematical-model mean? An abstract mathematical representation of a process, device or concept; it uses a number of variables to represent inpu...

When a filter is clogged, the filtration process must be halted while the filter is cleaned or sometimes replaced. This is expensive and time-consuming, and so clogging is undesirable. Our aim is to derive models of filtration that provide simple, fast, and non-destructive ways of understanding how to increase the amount of fluid that can be ...

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