Determination of the mass transfer limiting step of dye adsorption onto commercial adsorbent by using mathematical models

2014 ◽  
Vol 35 (18) ◽  
pp. 2356-2364 ◽  
Author(s):  
Pricila Marin ◽  
Carlos Eduardo Borba ◽  
Aparecido Nivaldo Módenes ◽  
Fernando R. Espinoza-Quiñones ◽  
Silvia Priscila Dias de Oliveira ◽  
...  
Keyword(s):  
Mass Transfer ◽  
Mathematical Models ◽  
Dye Adsorption ◽  
Limiting Step ◽  
Commercial Adsorbent

SFGP 2007 - An Analysis of the Mass Transfer in a Non-Dispersive Solvent Extraction Closed System

2008 ◽  
Vol 6 (1) ◽  
Author(s):  
Zaher Albaraka ◽  
Dominique Trebouet ◽  
Marlene Tuna ◽  
Jose Miguel Loureiro ◽  
Michel Burgard
Keyword(s):  
Mass Transfer ◽  
Transfer Coefficient ◽  
Mass Transfer Coefficient ◽  
Dynamic Models ◽  
Unsteady State ◽  
Reasonable Accuracy ◽  
Linear Distribution ◽  
Limiting Step ◽  
Overall Mass Transfer Coefficient

The experimental study that concerns the extraction of alkali picrates with the bis-crown-6-calix[4]arene in a hollow fibers membrane contactor, validates a dynamic model described in a previous paper [D. Trébouet, Sep. Pur. Tech., 50, 97-106, 2006]. The experimental data confirm the influence of parameters as the aqueous and organic phase flowrates and module capacity factor on the sensitivity of the system. It appears clearly that the closed extraction system operates in an unsteady state until equilibrium is reached and so only dynamic models can represent mass transfer within reasonable accuracy. The overall mass transfer coefficient is determined even in the case where the equilibrium is described by a non-linear distribution isotherm. The determination of an overall mass transfer coefficient shows that the diffusion of the metal complex in the microporous is the main limiting step of mass transfer.

scholarly journals Mass Transfer Studies on Adsorption of Phenol from Wastewater UsingLantana camara, Forest Waste

2016 ◽  
Vol 2016 ◽  
pp. 1-11 ◽  
Author(s):  
C. R. Girish ◽  
V. Ramachandra Murty
Keyword(s):  
Mass Transfer ◽  
Lantana Camara ◽  
Model Parameters ◽  
External Mass Transfer ◽  
Rate Limiting Step ◽  
Limiting Step ◽  
Forest Waste ◽  
Mass Transfer Studies ◽  
Rate Limiting

Adsorption is one of the important treatment methods for the removal of pollutants from wastewater. The determination of rate controlling step in the process is important in the design of the process. Therefore, in the present work, mass transfer studies were done to evaluate the rate-limiting step in the adsorption of phenol from aqueous solution ontoLantana camara. Different mass transfer models were used to find the rate-limiting step and also to find the values of external mass transfer coefficient and diffusion coefficient. The Biot number was found to investigate the importance of external mass transfer to intraparticle diffusion. From the various models studied and the Biot numbers obtained, it was found that the adsorption onLantana camarawas controlled by film diffusion. The sensitivity analysis was performed to study the significance of the model parameters on the adsorption process.

scholarly journals Sustainability of the unit of protective obstacles under the extra load

2021 ◽  
pp. 247-261
Author(s):  
Oleksandr Shapovalov ◽  
Anatolii Kovtun
Keyword(s):  
Mass Transfer ◽  
Mathematical Models ◽  
The State ◽  
Theoretical Studies ◽  
Advantages And Disadvantages ◽  
New Construction ◽  
Border Areas ◽  
The Stability ◽  
External Loads

The article is devoted to the aspects of engineering provision of forces for the state border protection, namely the use of a blocking barrier obstacle to block certain areas of the territory in order to prevent a mass transfer of the state border violators at the border checkpoints or during the cessation of massive disturbances in the border areas. It also deals with the determination of the stability of the blocking barrier obstacle in the process of preparing it for its intended purpose in case of preventing the passage or breakthrough of the crowd on the prohibited areas of the territory. Proceeding from the above presented in the article, the state border guard forces were requested to use a new construction of a barrier, namely: a blocking barrier obstacle to which Ukraine's patents for invention were obtained. The peculiarity of the blocking barrier obstacle is that it consists of hollow connecting elements made of light polymer material. To increase the stability of the blocking barrier in case of external hollow loads, the connecting elements are filled with liquid. Sustainability refers to the ability of the structure to withstand the external loads, capable to shift or overturn them, thus ensuring the increase in the efficiency of the task of preventing passage or breakthrough of violators into the prohibited areas of the territory at the checkpoints. This feature of the blocking barrier obstacle allows construct various design and layout variants, each of which has certain advantages and disadvantages. The article section contains the study of the processes of the external loads influence on the hollow connecting elements of the blocking barrier obstacle on various volumes and ways of filling it with liquid. Mathematical models of the blocking barrier obstacle stability with liquid have been constructed in case of applying external loads. The analysis of theoretical studies results of the external loads influence on the hollow connecting elements of the blocking barrier obstacle has been carried out.

DETERMINATION OF THE JUICE EVAPORATION MATHEMATICAL MODELS EFFICIENCY FOR AUTOMATED PROCESS CONTROL SYSTEMS

2019 ◽  
Vol 9 (1) ◽  
Author(s):  
�. ������� ◽  
◽  
�. ʳ�� ◽  
�. ������� ◽  
�. ������� ◽  
...  
Keyword(s):  
Process Control ◽  
Mathematical Models ◽  
Control Systems ◽  
Process Control Systems ◽  
Automated Process

Determination of Quantitative Sodium Mass Transfer Coefficient During Osmotic Processing of Potatoes

2015 ◽  
Vol 40 (5) ◽  
pp. 963-968 ◽  
Author(s):  
Troy Hinkley ◽  
Janam Pandya ◽  
Amanda J. Kinchla ◽  
Eric A. Decker
Keyword(s):  
Mass Transfer ◽  
Transfer Coefficient ◽  
Mass Transfer Coefficient

scholarly journals Effect of data quality on estimates of farm infectiousness trends in the UK 2001 foot-and-mouth disease epidemic

2006 ◽  
Vol 4 (13) ◽  
pp. 235-241 ◽  
Author(s):  
Nicholas J Savill ◽  
Darren J Shaw ◽  
Rob Deardon ◽  
Michael J Tildesley ◽  
Matthew J Keeling ◽  
...  
Keyword(s):  
Mathematical Models ◽  
Data Quality ◽  
Foot And Mouth Disease ◽  
Mouth Disease ◽  
Inaccurate Data ◽  
Foot And Mouth ◽  
The Uk ◽  
Parameter Values

Most of the mathematical models that were developed to study the UK 2001 foot-and-mouth disease epidemic assumed that the infectiousness of infected premises was constant over their infectious periods. However, there is some controversy over whether this assumption is appropriate. Uncertainty about which farm infected which in 2001 means that the only method to determine if there were trends in farm infectiousness is the fitting of mechanistic mathematical models to the epidemic data. The parameter values that are estimated using this technique, however, may be influenced by missing and inaccurate data. In particular to the UK 2001 epidemic, this includes unreported infectives, inaccurate farm infection dates and unknown farm latent periods. Here, we show that such data degradation prevents successful determination of trends in farm infectiousness.

Sign in / Sign up

Export Citation Format

Share Document