Separation by Electrosorption of Organic Compounds in a Flow‐Through Porous Electrode: I . Mathematical Model for One‐Dimensional Geometry

1983 ◽  
Vol 130 (1) ◽  
pp. 85-93 ◽  
Author(s):  
Richard C. Alkire ◽  
Ronald S. Eisinger
Keyword(s):  
Mathematical Model ◽  
Organic Compounds ◽  
Porous Electrode ◽  
One Dimensional ◽  
Flow Through

A sensor for the secondary clarifier based on image analysis

1996 ◽  
Vol 33 (1) ◽  
pp. 61-70 ◽  
Author(s):  
K. Grijspeerdt ◽  
W. Verstraete
Keyword(s):  
Mathematical Model ◽  
Image Analysis ◽  
Concentration Profile ◽  
Image Analysis System ◽  
One Dimensional ◽  
Sludge Flocs ◽  
Secondary Clarifier ◽  
Flow Through ◽  
Analysis System ◽  
Suitable Process

The outline of a novel sensor for the secondary clarifier based on the combination of in-line sensor principles and image analysis is presented. The sensor consists of a model secondary clarifier of 10 litres from which samples can be taken at different heights, running parallel with the full-scale plant. These samples are examined in an image analysis system, incorporating a flow through cell, a microscope and specific hardware. The measurements that can be obtained with this apparatus are multifarious: a one-dimensional concentration profile (and a fortiori the sludge blanket height) and the morphology and size distribution of the sludge flocs. Results show that it is possible to characterize the settling properties of the sludge automatically. Furthermore, the information is extended by using a mathematical model to describe the concentration profile. Lab-scale tests demonstrate that the information obtained could be uses to optimize the operation of the plant through suitable process control.

scholarly journals ASYMPTOTICS OF THE FILTRATION PROBLEM WITH ALMOST CONSTANT COEFFICIENTS

2021 ◽  
Vol 17 (2) ◽  
pp. 43-49
Author(s):  
Ludmila Kuzmina ◽  
Yuri Osipov
Keyword(s):  
Mathematical Model ◽  
Underground Structures ◽  
Porous Rock ◽  
Filtration Problem ◽  
One Dimensional ◽  
Constant Coefficients ◽  
Homogeneous Porous Medium ◽  
Flow Through ◽  
The Mathematical Model ◽  
Particles And Colloids

During the construction of hydraulic and underground structures, a grout solution is pumped into the ground to create waterproof partitions. The liquid grout is filtered in the porous rock and clogs the pores when hardened. The mathematical model of deep bed filtration describes the transfer of suspension particles and colloids by a fluid flow through the pores of a rock. For a one-dimensional filtration problem in a homogeneous porous medium with almost constant coefficients, an asymptotic solution is constructed. The asymptotics is compared with the numerical solution.

Certain Problems with the Application of Stochastic Diffusion Processes for the Description of Chemical Engineering Phenomena. Stochastic Model of Non-Isothermal Flow Chemical Reactor

1996 ◽  
Vol 61 (2) ◽  
pp. 242-258 ◽  
Author(s):  
Vladimír Kudrna ◽  
Libor Vejmola ◽  
Pavel Hasal
Keyword(s):  
Stochastic Model ◽  
Chemical Engineering ◽  
Diffusion Processes ◽  
Dispersion Model ◽  
Chemical Reactor ◽  
Segregation Index ◽  
One Dimensional ◽  
A Value ◽  
Isothermal Case ◽  
Flow Through

Recently developed stochastic model of a one-dimensional flow-through chemical reactor is extended in this paper also to the non-isothermal case. The model enables the evaluation of concentration and temperature profiles along the reactor. The results are compared with the commonly used one-dimensional dispersion model with Danckwerts' boundary conditions. The stochastic model also enables to evaluate a value of the segregation index.

scholarly journals Analysis of Performance of the Wind-Driven Pulverizing Aerator Based on Average Wind Speeds in the Conditions of Góreckie Lake

Energies ◽  
2021 ◽  
Vol 14 (10) ◽  
pp. 2796
Author(s):  
Andrzej Osuch ◽  
Ewa Osuch ◽  
Stanisław Podsiadłowski ◽  
Piotr Rybacki
Keyword(s):  
Mathematical Model ◽  
Wind Speed ◽  
Water Pump ◽  
Average Wind Speed ◽  
Flow Rates ◽  
Wind Speeds ◽  
Average Wind ◽  
Flow Through ◽  
Analysis Of Performance ◽  
Research Period

In the introduction to this paper, the characteristics of Góreckie lake and the construction and operation of the wind-driven pulverizing aerator are presented. The purpose of this manuscript is to determine the efficiency of the pulverizing aerator unit in the windy conditions of Góreckie Lake. The efficiency of the pulverization aerator depends on the wind conditions at the lake. It was necessary to conduct thorough research to determine the efficiency of water flow through the pulverization segment (water pump). It was necessary to determine the rotational speed of the paddle wheel, which depended on the average wind speed. Throughout the research period, measurements of hourly average wind speed were carried out. It was possible to determine the efficiency of the machine by developing a dedicated mathematical model. The latest method was used in the research, consisting of determining the theoretical volumetric flow rates of water in the pulverizing aerator unit, based on average hourly wind speeds. Pulverization efficiency under the conditions of Góreckie Lake was determined based on 6600 average wind speeds for spring, summer and autumn, 2018. Based on the model, the theoretical efficiency of the machine was calculated, which, under the conditions of Góreckie Lake, amounted to 75,000 m3 per year.

Using Tolerance-Maps to Generate Frequency Distributions of Clearance and Allocate Tolerances for Pin-Hole Assemblies

2007 ◽  
Vol 7 (4) ◽  
pp. 347-359 ◽  
Author(s):  
Gaurav Ameta ◽  
Joseph K. Davidson ◽  
Jami J. Shah
Keyword(s):  
Mathematical Model ◽  
Statistical Method ◽  
Frequency Distribution ◽  
Probabilistic Representation ◽  
Worst Case ◽  
Frequency Distributions ◽  
One Dimensional ◽  
Material Condition ◽  
Geometric Tolerances ◽  
Case Basis

A new mathematical model for representing the geometric variations of lines is extended to include probabilistic representations of one-dimensional (1D) clearance, which arise from positional variations of the axis of a hole, the size of the hole, and a pin-hole assembly. The model is compatible with the ASME/ ANSI/ISO Standards for geometric tolerances. Central to the new model is a Tolerance-Map (T-Map) (Patent No. 69638242), a hypothetical volume of points that models the 3D variations in location and orientation for a segment of a line (the axis), which can arise from tolerances on size, position, orientation, and form. Here, it is extended to model the increases in yield that occur when maximum material condition (MMC) is specified and when tolerances are assigned statistically rather than on a worst-case basis; the statistical method includes the specification of both size and position tolerances on a feature. The frequency distribution of 1D clearance is decomposed into manufacturing bias, i.e., toward certain regions of a Tolerance-Map, and into a geometric bias that can be computed from the geometry of multidimensional T-Maps. Although the probabilistic representation in this paper is built from geometric bias, and it is presumed that manufacturing bias is uniform, the method is robust enough to include manufacturing bias in the future. Geometric bias alone shows a greater likelihood of small clearances than large clearances between an assembled pin and hole. A comparison is made between the effects of choosing the optional material condition MMC and not choosing it with the tolerances that determine the allowable variations in position.

Infiltration in Unsaturated Frozen Soil

1984 ◽  
Vol 15 (4-5) ◽  
pp. 243-252 ◽  
Author(s):  
Helén Engelmark
Keyword(s):  
Mathematical Model ◽  
Simulated Data ◽  
Frozen Soil ◽  
Thermal Parameters ◽  
Field Observations ◽  
Snow Melt ◽  
One Dimensional ◽  
Run Off ◽  
Melt Infiltration

A one-dimensional mathematical model is used to simulate the process of snow-melt infiltration in unsaturated frozen silt. Hydraulic and thermal parameters are mainly based on data given in the literature. Field observations in a watershed (of area 1.8 km2) are compared with simulated data and consequences on snow melt run-off are discussed.

scholarly journals Development of One-Dimensional Mathematical Model for Validation of Pulse Diagnosis

2008 ◽  
Vol 74 (737) ◽  
pp. 142-148 ◽  
Author(s):  
Kentaro NARUMI ◽  
Tsutomu NAKANISHI ◽  
Atsushi SHIRAI ◽  
Toshiyuki HAYASE
Keyword(s):  
Mathematical Model ◽  
Pulse Diagnosis ◽  
One Dimensional
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