scholarly journals On One Mathematical Model of the Extraction Process of Polydisperse Porous Material

2016 ◽  
Vol 9 (2) ◽  
pp. 5-15
Author(s):  
N.E. Erzhanov ◽  
◽  
I. Orazov ◽  
Keyword(s):  
Mathematical Model ◽  
Porous Material ◽  
Extraction Process

scholarly journals OPTIMIZATION OF THE PROCESS OF HEAT TREATMENT OF POROUS THERMAL INSULATING MATERIAL IN A VORTEX APPARATUS BY MECHANICAL PROPERTIES

2021 ◽  
Vol 2 (37) ◽  
pp. 55-58
Author(s):  
I. Sokolovska ◽  
K. Chumak
Keyword(s):  
Mechanical Properties ◽  
Heat Treatment ◽  
Mathematical Model ◽  
Porous Material ◽  
Thermal Processing ◽  
Thermal Exposure ◽  
Thermal Mode ◽  
Insulating Materials ◽  
The Given ◽  
External Loads

The paper provides experimental data, on the basis of which the influence of various factors on the strength characteristics of porous heat-insulating materials was studied. A mathematical model of the process of heat treatment of a porous material was also proposed, with the help of which its properties can be predicted. The field of application of heat-insulating materials directly depends on the thermophysical and mechanical properties of the material itself, which are also interconnected. Mechanical properties determine the behavior of a material under deformation and destruction from external loads and under thermal stress. To reveal the influence of the characteristics of thermal processing modes on the mechanical properties of the processed material, a mathematical model of the process of thermal processing of a porous material was built in the given work. The elastic modulus and strength of the material were taken as process indicators characterizing the behavior of the material during deformation and destruction due to external loads, and the temperature of the thermal process, the time of thermal exposure, the moisture content of the material and the porosity of the material were taken as factors characterizing the thermal processing mode. The point forecast of indicators according to the received models for the given thermal mode of processing of porous material made: value of the modulus of elasticity is equal to 0,413, value of durability of material on compression is equal to 0,056. The work revealed that the main factor that determines the strength of the heat-insulating porous material is the duration of thermal exposure. It is obvious that it is this factor that determines the intensity of heat and mass transfer processes in the material, which is interconnected with the main technological indicator – the temperature of the external coolant. It was also noted that the thermodynamic parameters of steam are determined by the temperature and duration of thermal contact with the coolant. Thus, using the data obtained, it is possible to predict the properties of the porous material.

scholarly journals Mathematical model of the process of drying fine dispersed materials under the influence of alternating electric current

2021 ◽  
pp. 51-56
Author(s):  
O.V Zamytskyi ◽  
N.O Holiver ◽  
N.V Bondar ◽  
S.O Kradozhon
Keyword(s):  
Mathematical Model ◽  
Moisture Content ◽  
Porous Material ◽  
Electric Current ◽  
Diffusion Processes ◽  
Direct Influence ◽  
Alternating Electric Current ◽  
Equations Of Mathematical Physics ◽  
Spatial Coordinates ◽  
First Time

Purpose. Establishing the dependences and determining rational parameters of the process of drying fine materials by direct influence of an electric current. Methodology. In the work, theoretical, analytical, empirical, and experimental methods as well as methods of mathematical statistics are used. Mathematical modeling of the process occurring during drying of finely dispersed materials by direct influence of alternating current is carried out. Findings. As a result of the research on the basis of physical representations of the process of drying capillary-porous material, a mathematical model is designed connecting temperature and moisture content in a plate from capillary-porous material by means of equations of mathematical physics. Originality. For the first time dependence has been obtained on the temperature and moisture content of the time and spatial coordinates of drying by passing an electric current through the layer of moist capillary-porous material, a feature which is both simultaneous accounting of thermal and diffusion processes in the material that can increase the accuracy of calculations and establish rational parameters of drying. Practical value. The obtained dependences are used when developing calculation methods and designing an industrial drying plant.

scholarly journals STUDY ON MATHEMATICAL MODEL IN SIMULATING CYMBOPOGON WINTERIANUS ESSENTIAL OIL EXTRACTION BY STEAM DISTILLATION

1970 ◽  
Vol 3 (1) ◽  
Author(s):  
Nik ‘Amirah Farhana Nik Ahmad Lutfi ◽  
Mohd Farid Atan ◽  
Nazeri Abdul Rahman ◽  
Shanti Faridah Salleh ◽  
Noraziah Abdul Wahab
Keyword(s):  
Mathematical Model ◽  
Essential Oil ◽  
Steam Distillation ◽  
Maximum Yield ◽  
Process Variable ◽  
Extraction Process ◽  
Oil Extraction ◽  
Raw Material ◽  
Extraction Time ◽  
Cymbopogon Winterianus

The main objective of this study is to improve the mathematical modelling of Cymbopogon winterianus essential oil extraction by steam distillation proposed by Cassel and Vargas by minimum 5% error reduction. Two process variable of steam distillation which are extraction time and raw material state (dry or natural) has been optimized by using factorial experimental planning to obtain high yields of citronella essential oil from twig and leaves of lemongrass species Cymbopogon winterianus (C.winterianus). The optimal condition for maximum yield (0.942%) were found to be an extraction time, 4 hr, state, natural plant. The study of Cassel and Vargas was subsequently continued with five proposed kinetics model of the extraction process. The modelling of the extraction process is optimized by using one adjustable parameter of the model and the adequacy of the fit of the models to the experimental data are analyzed by using three statistical criteria that are correlation coefficient (r) ,the root mean square error (RMSE) and the mean relative deviation modulus (E). The result has shown that the mathematical model developed by Ana based on mass transfer fundamentals is the optimum mathematical model for the extraction of Cymbopogon winterianus essential oil by steam distillation.

Mathematical Model for Predicting the Dissolution Behaviors of Hemicelluloses During Cold Caustic Extraction Process

AIChE Journal ◽  
2018 ◽  
Vol 65 (1) ◽  
pp. 13-17 ◽  
Author(s):  
Qing-Qing Guan ◽  
Hua-Jing Zhou ◽  
Lin-Cai Peng ◽  
Ke-Li Chen ◽  
Liang He ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Extraction Process ◽  
Cold Caustic Extraction

scholarly journals Extraction Process of Intracellular Substance

2010 ◽  
Vol 4 (2) ◽  
pp. 163-166
Author(s):  
Vasil Dyachok ◽  
Keyword(s):  
Mathematical Model ◽  
Plant Material ◽  
Extraction Process ◽  
Anatomical Structure ◽  
Process Conditions ◽  
Intercellular Spaces ◽  
Process Implementation ◽  
Kinetic Coefficients ◽  
The Mathematical Model ◽  
Kinetics Of

In this study the mathematical model of the extraction process from plant material is developed, taking into account the anatomical structure of plant material, namely the presence of cellular and intercellular spaces. The solution of the model enables to determine its kinetic coefficients Dc, Dt, process conditions, and predict the kinetics of the extraction process implementation in practice.

scholarly journals Motion of liquid Droplets in gas channels in a SO2 Module

2021 ◽  
Author(s):  
Radu Cimpeanu ◽  
Yousef Daneshbod ◽  
Qingxia Li ◽  
Pejman Sanaei ◽  
Pavel Dubovski ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Porous Material ◽  
Thin Liquid Film ◽  
Travelling Wave ◽  
Contact Angles ◽  
Operating Conditions ◽  
Liquid Droplets ◽  
Single Droplet ◽  
Wave Type ◽  
Droplet Dynamics

Understanding of liquid droplets dynamics in gas channels is critical for improvement of performance and durability of the catalysts made of a dense porous material. This report describes a mathematical model for studying how different surface properties and operating conditions affect the dynamics of liquid droplets. We present multiple numerical simulations of a single droplet dynamics for different sizes of droplets and different choices of contact angles. We also study influence of an air flow to a thin liquid film and obtained travelling wave type solutions.

scholarly journals The effective Equations for the Ultrasonic Response of Wet Cortical Bone

2020 ◽  
Author(s):  
Mischa Blaszczyk ◽  
Robert Gilbert ◽  
Klaus Hackl
Keyword(s):  
Mathematical Model ◽  
Free Energy ◽  
Porous Material ◽  
Boundary Value Problems ◽  
Cortical Bone ◽  
Maxwell Equations ◽  
Future Developments ◽  
Energetic Approach ◽  
Time Harmonic ◽  
The Mathematical Model

We outline the mathematical model of the ultrasonic response of wet cortical bone and its time harmonic formulation. We employ an energetic approach based on the Reuss-bound of the free energy of a porous material consisting of a piezo-electric solid and a conducting fluid part. Magnetic effects are taken into consideration. Corresponding boundary value problems are stated and associated theorems established. A conclusion is included concerning future developments of this formulation.} \keywords{wet bone, ultrasonic response, Maxwell equations}

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