Mathematical Model of Simultaneous Organic Oxidation, Nitrification, and Denitrification in Rotating Biological Contactors

1985 ◽  
Vol 17 (2-3) ◽  
pp. 385-397 ◽  
Author(s):  
Yoshimasa Watanabe ◽  
Sumio Masuda ◽  
Kiyoshi Nishidome ◽  
Chalermraj Wantawin
Keyword(s):  
Mathematical Model ◽  
Computer Simulation ◽  
Oxygen Uptake Rate ◽  
Aerobic Bacteria ◽  
Empirical Equations ◽  
Fixed Temperature ◽  
Nitrification And Denitrification ◽  
Rotating Biological Contactors ◽  
The Mathematical Model ◽  
Organic Oxidation

Simultaneous organic oxidation and nitrification rates in the RBC are given using a mathematical equation. The equation was derived from a hypothesis stating that intrinsic oxygen uptake rate of the biofilm has a constant value at a fixed temperature , independent of the composition of the aerobic bacteria. Based on this hypothesis, empirical equations are proposed to describe the profile of intrinsic organic oxidation and nitrification rates. Computer simulation of the simultaneous organic oxidation and nitrification was carried out to confirm the empirical equations. The mathematical model of the simultaneous nitrification and denitrification is discussed and was tested by computer simulation.

Development of a Mathematical Model for Performance Prediction of Planing Catamaran in Calm Water

2019 ◽  
Vol 161 (A2) ◽  
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Performance Prediction ◽  
Data Evaluation ◽  
Empirical Equations ◽  
Calm Water ◽  
Semi Empirical ◽  
The Mathematical Model ◽  
Comparison With Experimental Data

In this paper, an attempt has been made to predict the performance of a planing catamaran using a mathematical model. Catamarans subjected to a common hydrodynamic lift, have an extra lift between the two asymmetric half bodies. In order to develop a mathematical model for performance prediction of planing catamarans, existing formulas for hydrodynamic lift calculation must be modified. Existing empirical and semi-empirical equations in the literature have been implemented and compared against available experimental data. Evaluation of lift in comparison with experimental data has been documented. Parameters influencing the interaction between demi-hulls and separation effects have been analyzed. The mathematical model for planing catamarans has been developed based on Savitsky’s method and results have been compared against experimental data. Finally, the effects of variation in hull geometry such as deadrise angle and distance between two half bodies on equilibrium trim angle, resistance and wetted surface have been examined.

Statistical Analysis of the Roundness Error Data

2012 ◽  
Vol 472-475 ◽  
pp. 869-874 ◽  
Author(s):  
Zhao Peng Dong ◽  
Li Ling Huang ◽  
Hai Ting Xie ◽  
Fu Gui Huang
Keyword(s):  
Mathematical Model ◽  
Computer Simulation ◽  
Statistical Analysis ◽  
Normal Distribution ◽  
Mathematical Knowledge ◽  
Measurement Data ◽  
Roundness Error ◽  
Main Emphasis ◽  
The Mathematical Model ◽  
Roundness Measurement

In order to simulate the actual roundness measurement accurately, must find the mathematical model of the actual roundness data, the paper’s main emphasis is doing statistical analysis by plenty of measurement data of roundness, using mathematical knowledge to prove that the actual characteristics of roundness parameters obey the normal distribution, and providing the basis for subsequent computer simulation in the future

scholarly journals THERMOELECTRICAL PROCESSES SIMULATION IN RESISTIVE SUPERCONDUCTING FAULT CURRENT LIMITER

2014 ◽  
pp. 100-106
Author(s):  
Dmytro Fedasyuk ◽  
Pavlo Serdyuk
Keyword(s):  
Mathematical Model ◽  
Computer Simulation ◽  
Fault Current ◽  
Fault Current Limiter ◽  
Electrical Behaviour ◽  
Superconducting Fault Current Limiter ◽  
Current Limiter ◽  
Simulation Results ◽  
The Mathematical Model

Simulations of superconducting fault current limiter (SFCL) include modelling of thermal and electrical behaviour of the limiter. In this paper the mathematical model for the analysis of thermoelectrical processes in resistive superconducting fault current limiter for microelectronics devices protection is presented. An effective and fast halfanalytical computer simulation of the model is presented. Simulation results are presented.

Dynamic Study on Vehicle Hydro-Pneumatic Suspension

2010 ◽  
Vol 139-141 ◽  
pp. 2653-2657
Author(s):  
Ling Xin Geng ◽  
Li Juan Zhang ◽  
Ren Zhi Wu
Keyword(s):  
Mathematical Model ◽  
Computer Simulation ◽  
Mathematical Models ◽  
Physical Model ◽  
Dynamic Load ◽  
Special Program ◽  
Vehicle Dynamic ◽  
Pneumatic Suspension ◽  
Working Principle ◽  
The Mathematical Model

The performance of HPS directly influences the comfort of vehicle, dynamic load of wheels and travel distance of suspension. In order to describe and evaluate the performance of HPS, the structure and working principle of main parts of the HPS are introduced and analyzed in this paper firstly. Then the physical model is founded by analyzing and simplifying the structure of HPS. According to the physical model, non-linear mathematical models of HPS with dual gas-accumulators are built up and a special program is composed. The results of computer simulation are carried out through the program. Then a testing rig for HPS is designed and manufactured after rebuilding cylinders and abundant experiments are performed on the testing rig. Comparisons are drawn between the results of simulation and testing, which manifest the mathematical model of HPS built in the thesis is feasible.

scholarly journals P44W2-4 The Computer Simulation based upon the mathematical model for Plasmodium vivax malaria and its applications for malaria control

2001 ◽  
Vol 52 (Supplement) ◽  
pp. 88
Author(s):  
Hirofumi ISHIKAWA ◽  
Akira ISHII ◽  
Nobuhiko NAGAI ◽  
Hiroshi OHMAE ◽  
Masakazu HARADA ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Computer Simulation ◽  
Plasmodium Vivax ◽  
Malaria Control ◽  
Vivax Malaria ◽  
Simulation Based ◽  
Plasmodium Vivax Malaria ◽  
The Mathematical Model

Study on Mechanics Properties of Shifting Impact of Overrunning AMT

2012 ◽  
Vol 252 ◽  
pp. 134-139
Author(s):  
Jian Jun Hao ◽  
Shuai Shuai Ge ◽  
Xi Hong Zou ◽  
Xiao Hui Ding
Keyword(s):  
Mathematical Model ◽  
Computer Simulation ◽  
Dynamic Model ◽  
Structural Characteristics ◽  
Transmission System ◽  
Separation Process ◽  
Force Analysis ◽  
Long Time ◽  
Simulation Results ◽  
The Mathematical Model

Aiming at the problem of long time power interruption and clutch master-slave friction plates wore seriously which greatly shorten the life of clutch during shifting process of AMT, a overrunning AMT without separation process of clutch when shifting is designed. This paper has analyzed structural characteristics and shift principle of overrunning AMT. Through force analysis on the jointing process of roller overrunning clutch, the mathematical model and dynamic model of transmission system are established. Finally, the shifting impact of shifting process is analyzed based on computer simulation. The simulation results indicate that vehicle longitudinal degree of jerk meets the requirement of vehicle comfort.

Target Tracking Based on QPSO Algorithm

2013 ◽  
Vol 328 ◽  
pp. 84-88
Author(s):  
Yao Ni ◽  
Wen Bo Xu
Keyword(s):  
Mathematical Model ◽  
Computer Simulation ◽  
Particle Swarm Optimization ◽  
Target Tracking ◽  
Nonlinear Problems ◽  
Swarm Optimization ◽  
Number Of Clusters ◽  
Model And Simulation ◽  
System Data ◽  
The Mathematical Model

This article paper proposes a FCM based QPSO algorithm to establish the mathematical model and simulation including the algorithm introduction, modeling and simulation. In the designed system , data is firstly clustered into classes by c-means algotithm so that each rule defines its own fuzzy sets, the number of fuzzy rules is also determined by the number of clusters..Then Quantum-behaved particle swarm optimization learning algotithm then used for optimising the parameters of the system. We illustrates the algorithm in details with computer simulation to solve nonlinear problems and compare the rusults between basic PSO and our algorithm.

Analysis of the Steering Mechanism Based on Spatial Linkages of an Underground Vehicle

2012 ◽  
Vol 479-481 ◽  
pp. 894-898
Author(s):  
Lei Dong ◽  
Bu Kang Wang ◽  
Rui Min Shi
Keyword(s):  
Mathematical Model ◽  
Computer Simulation ◽  
Simulation Software ◽  
Nonlinear Mathematical Model ◽  
Experiment Data ◽  
Initial Design ◽  
Steering Mechanism ◽  
Spatial Linkages ◽  
The Mathematical Model ◽  
Real Vehicle

To achieve the goal of the 4WS (four-wheel steering), the spatial linkages were applied to the steering mechanism of the underground vehicle. The operation principle of the steering mechanism was firstly obtained. Then a nonlinear mathematical model of spatial linkages mechanism was deduced and the deviation from the Ackermann theory is about 7%. The results were acquired by solving the equations numerically in computer simulation software and compared with the real vehicle experiment data. It is demonstrated in the paper that the mathematical model is accurate and the error is within 6.5%. It is thought that this information may be useful in the initial design of the steering mechanism of the underground vehicle.

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