Development of a mathematical model and computer simulation of web transportation systems

2019 ◽  
Author(s):  
E. N. Gusak ◽  
S. N. Litunov
2019 ◽  
Vol 140 ◽  
pp. 04012
Author(s):  
Alexander Korzhev ◽  
Olga Bolshunova ◽  
Irina Voytyuk ◽  
Anna Vatlina

To develop new control algorithms for controlling slurry pumps, it is necessary to have a reliable mathematical model of their operation, convenient for computer simulation implementation. Therefore, the paper discloses a mathematical model of the joint operation of a centrifugal pump with a controlled asynchronous motor drive and a slurry pipeline. The results of transient modes computer simulation, carried out via the xcos application of the scilab software, are presented. This software is a freeware one and, therefore, available free of charge to most researchers. The paper provides an example of verification of the adequacy and performance of the proposed computer model, with the use of characteristics of the centrifugal slurry pump GrAT-225-67-3-2-2. The said model of a centrifugal pump is efficient and can be used during the study of dynamic processes in pipeline transportation systems, as well as in the synthesis of control algorithms for electric drives of pumping units.


2003 ◽  
Vol 8 (1) ◽  
pp. 3-18 ◽  
Author(s):  
R. Baronas ◽  
F. Ivanauskas ◽  
J. Kulys

A mathematical model of amperometric biosensors has been developed to simulate the biosensor response in stirred as well as non stirred solution. The model involves three regions: the enzyme layer where enzyme reaction as well as mass transport by diffusion takes place, a diffusion limiting region where only the diffusion takes place, and a convective region, where the analyte concentration is maintained constant. Using computer simulation the influence of the thickness of the enzyme layer as well the diffusion one on the biosensor response was investigated. The computer simulation was carried out using the finite difference technique.


1995 ◽  
Vol 38 (2) ◽  
pp. 199-205 ◽  
Author(s):  
Mitsuhiro Fukuta ◽  
Tadashi Yanagisawa ◽  
Takashi Shimizu ◽  
Yasuhiro Suzuki

2019 ◽  
Vol 12 (4-5) ◽  
pp. 1167-1178
Author(s):  
Fang Qin ◽  
◽  
Ying Jiang ◽  
Ping Gu ◽  
◽  
...  

1987 ◽  
Vol 11 (2) ◽  
pp. 65-70 ◽  
Author(s):  
P. G. Van De Veen ◽  
W. Van Der Tempel ◽  
J. De Vreiss

A mathematical model was used to investigate the dynamic behaviour of an above-knee (AK) prosthesis in the swing phase and to analyse the influence of mass and mass distribution on the maximal stump load and the required energy. The model consists of a bondgraph model of the prosthesis and a “walking” model which predicts the walking velocity, step length and the femoral trajectory. Equipment was developed to measure the inertial properties of the components of the prosthesis. Through computer simulation, stickdiagrams of the swing phase and graphs of the variation with time of the hip and stump forces were obtained. It was found that for a normal AK prosthesis with a knee-lock mechanism the axial stump load is greatest at the beginning and at the end of the swing phase. At a walking velocity of 5 km/hr the maximum axial stump load amounts to 2.1 times the static weight of the prosthesis. The maximum axial stump force appeared to be almost directly proportional to the total mass of the prosthesis but independent of the mass distribution. The required energy also increased with the mass of the prosthesis but is' dependent on mass distribution. Because of their comparable weights the influence of the shoe is almost equal to the influence of the prosthetic foot. Thus lightweight shoes should be used with lightweight prosthetic feet in order to add to their advantages.


2019 ◽  
Vol 2019 ◽  
pp. 1-6 ◽  
Author(s):  
Andrii Safonyk ◽  
Olena Prysiazhniuk

The paper suggests an approach to modeling the electrocoagulation process that is based on the generalization of the equations of incompressible fluid flow in nonisothermal conditions. In the model was taking into account the ratio between the values of the parameters which characterize the domination of convective and mass-exchange components of the process over diffusion. An asymptotic approximation of solutions of corresponding boundary value problems is constructed. Based on the received solutions, we conducted a computer simulation of the process of distribution of iron concentration inside the reactor that allows predicting various hydrodynamic phenomena such as internal recirculation and dead zones that affect the formation of a coagulant. The influence of current strength on the concentration of the target component at the exit from the reactor was investigated using the developed mathematical model. In addition, our findings also show the effect of the rate of heat formation from the electrodes on the efficiency of obtaining of coagulant.


1996 ◽  
Vol 42 (7) ◽  
pp. 1074-1078 ◽  
Author(s):  
J E Vaks

Abstract Linearity, interference evaluations of the performance of clinical chemistry systems, mathematical model selection for nonlinear calibration, and other assessments often involve several human sample pools with equally spaced analyte concentrations. Sequential mixing of equal volumes, first of the low and high pools to produce the middle pool, then of the low and middle pools to produce the mid-low pool, and of the high and middle pools to produce the mid-high pool, is recommended in the NCCLS EP7-P guideline for interference studies. Proportional mixing of the low and high pools to produce all of the required pool concentrations is recommended in the NCCLS EP6-P guideline for linearity studies. Mathematical analysis and computer simulation show that the sequential mixing is much more accurate and precise than the proportional mixing. Therefore, we recommend sequential mixing for clinical chemistry application.


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