Modelling permeation passive sampling: intra-particle resistance to mass transfer and comprehensive sensitivity analysis

2019 ◽  
Vol 21 (3) ◽  
pp. 469-484 ◽  
Author(s):  
Faten Salim ◽  
Marios Ioannidis ◽  
Alexander Penlidis ◽  
Tadeusz Górecki
Keyword(s):  
Mathematical Model ◽  
Mass Transfer ◽  
Sensitivity Analysis ◽  
Passive Sampling ◽  
Passive Samplers ◽  
Porous Particles ◽  
Sampling Process ◽  
Porous Adsorbents

A mathematical model developed previously to describe the sampling process in permeation passive samplers with non-porous adsorbents and evaluated using the Waterloo Membrane Sampler (WMS) is here extended to include adsorbents with porous particles.

Effect of the orientation and fluid flow on the accumulation of organotin compounds to Chemcatcher passive samplers

2015 ◽  
Vol 17 (4) ◽  
pp. 813-824 ◽  
Author(s):  
H. Ahkola ◽  
J. Juntunen ◽  
M. Laitinen ◽  
K. Krogerus ◽  
T. Huttula ◽  
...  
Keyword(s):  
Fluid Flow ◽  
Environmental Conditions ◽  
Passive Sampling ◽  
Passive Samplers ◽  
Organotin Compounds ◽  
Environmental Legislation ◽  
Sampling Process

The effect of environmental conditions on the passive sampling process should be understood to estimate the concentration of chemical required by environmental legislation.

Experimentally validated mathematical model of analyte uptake by permeation passive samplers

2017 ◽  
Vol 19 (11) ◽  
pp. 1363-1373 ◽  
Author(s):  
F. Salim ◽  
M. Ioannidis ◽  
T. Górecki
Keyword(s):  
Mathematical Model ◽  
Passive Sampler ◽  
Passive Samplers ◽  
Sampling Process

A mathematical model describing the sampling process in a permeation-based passive sampler was developed and evaluated numerically.

Modeling of aerated upflow fixed bed reactors for nitrification

1999 ◽  
Vol 39 (4) ◽  
pp. 85-92 ◽  
Author(s):  
J. Behrendt
Keyword(s):  
Mathematical Model ◽  
Mass Transfer ◽  
Liquid Phase ◽  
Gas Phase ◽  
Fixed Bed ◽  
Fixed Bed Reactor ◽  
Bulk Liquid ◽  
Initial Value ◽  
Fixed Bed Reactors ◽  
Number Of Cells

A mathematical model for nitrification in an aerated fixed bed reactor has been developed. This model is based on material balances in the bulk liquid, gas phase and in the biofilm area. The fixed bed is divided into a number of cells according to the reduced remixing behaviour. A fixed bed cell consists of 4 compartments: the support, the gas phase, the bulk liquid phase and the stagnant volume containing the biofilm. In the stagnant volume the biological transmutation of the ammonia is located. The transport phenomena are modelled with mass transfer formulations so that the balances could be formulated as an initial value problem. The results of the simulation and experiments are compared.

A mathematical model of turbulent heat and mass transfer in stably stratified shear flow

1993 ◽  
Vol 253 (-1) ◽  
pp. 341 ◽  
Author(s):  
G. I. Barenblatt ◽  
M. Bertsch ◽  
R. Dal Passo ◽  
V. M. Prostokishin ◽  
M. Ughi
Keyword(s):  
Mathematical Model ◽  
Mass Transfer ◽  
Shear Flow ◽  
Heat And Mass Transfer ◽  
Turbulent Heat ◽  
Stratified Shear Flow ◽  
Stably Stratified Shear Flow

RESEARCH OF CYCLONE CHARACTERISTICS FOR DRY CLEANING OF GASES FROM DUST

2020 ◽  
Vol 5 (3) ◽  
pp. 49-61
Author(s):  
Andrii Cheilytko ◽  
◽  
Sergii Ilin
Keyword(s):  
Mathematical Model ◽  
Mass Transfer ◽  
Working Conditions ◽  
Ecological Condition ◽  
Air Purification ◽  
Dust Collection ◽  
Dry Cleaning ◽  
Harmful Emissions ◽  
Reduce Emissions ◽  
The Mathematical Model

The development and application of new, more efficient dust collection units that will help reduce emissions and conserve some very valuable resources for production is an important area of research. With the growth of innovation in technological enterprises, the number of harmful emissions into the atmosphere is growing. Thus, the ecological condition of the environment deteriorates. The basic analytical dependences which are necessary for construction of a technique of carrying out experiments and calculations of dust catching for concrete working conditions are developed. Methods of calculating cyclones as vortex devices and research of cyclone operation for air purification from dust were investigated. On the basis of the used basic theoretical positions of heat and mass transfer and thermodynamics at carrying out analytical researches the mathematical model was offered. Calculations of new designs of modern cyclones to obtain their geometric dimensions, resistance and dust capture efficiency were presented. Modern cyclones are designed to more effectively remove dust from the air during various types of work.

SENSITIVITY ANALYSIS AND IDENTIFIABILITY OF A MATHEMATICAL MODEL OF A CHEMICAL REACTION

2021 ◽  
pp. 14-18
Author(s):  
Л.Ф. Сафиуллина
Keyword(s):  
Mathematical Model ◽  
Inverse Problem ◽  
Sensitivity Analysis ◽  
Chemical Reaction ◽  
Reaction Model ◽  
Numerical Calculations ◽  
Specific Reaction ◽  
Uniqueness Of The Solution ◽  
The Mathematical Model ◽  
Kinetics Of

В статье рассмотрен вопрос идентифицируемости математической модели кинетики химической реакции. В процессе решения обратной задачи по оценке параметров модели, характеризующих процесс, нередко возникает вопрос неединственности решения. На примере конкретной реакции продемонстрирована необходимость проводить анализ идентифицируемости модели перед проведением численных расчетов по определению параметров модели химической реакции. The identifiability of the mathematical model of the kinetics of a chemical reaction is investigated in the article. In the process of solving the inverse problem of estimating the parameters of the model, the question arises of the non-uniqueness of the solution. On the example of a specific reaction, the need to analyze the identifiability of the model before carrying out numerical calculations to determine the parameters of the reaction model was demonstrated.

MATHEMATICAL MODELING OF CONCRETE STRUCTURE CORROSION IN BIOLOGICALLY AGGRESSIVE ENVIRONMENTS

2021 ◽  
Vol 3 (102) ◽  
pp. 55-67
Author(s):  
VARVARA E. RUMYANTSEVA ◽  
SVETLANA A. LOGINOVA ◽  
NATALIA E. KARTSEVA
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Mass Transfer ◽  
Parabolic Type ◽  
Cement Concrete ◽  
Mass Conductivity ◽  
Kinetics And Dynamics ◽  
Biological Corrosion ◽  
First Time ◽  
Fourth Kind

In the aquatic environment, biocorrosion is an important factor affecting the reliability and durability of concrete structures. The destruction of cement concretes during biological corrosion is determined by the processes of mass transfer. The article presents the development of a calculated mathematical model of liquid corrosion in cement concrete, taking into account the biogenic factor. For the first time, a model of mass transfer in an unbounded two-layer plate is considered in the form of differential equations of parabolic type in partial derivatives with boundary conditions of the second kind at the interface between concrete and liquid and of the fourth kind at the interface between concrete and biofilm. The results of a numerical experiment are presented to study the influence of the coefficients of mass conductivity and mass transfer on the kinetics and dynamics of the process.

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