scholarly journals Defining the Mathematical Dependencies of NOx and CO Emission Generation after Biomass Combustion in Low-Power Boiler

2019 ◽  
Vol 29 (3) ◽  
pp. 153-163 ◽  
Author(s):  
Ladislav Lukáč ◽  
Ján Kizek ◽  
Gustáv Jablonský ◽  
Yevgeniy Karakash
Keyword(s):  
Mathematical Model ◽  
Regression Analysis ◽  
Low Power ◽  
Measured Data ◽  
Wood Chips ◽  
Biomass Combustion ◽  
Regression Equations ◽  
The Mathematical Model ◽  
Power Boiler ◽  
Co Emission

Abstract The paper deals with the study of the influence of various factors, which have an impact on emissions such as NOx, CO, which have been verified by measurements. Biomass in the form of wood chips as fuel of different moisture content from 9% to 25% has been tested at various boiler outputs. The presented work also defines the mathematical dependencies of NOx and CO emission generation by using regression analysis from measured data after biomass combustion in low-power boilers. The paper also describes a mathematical model of biomass combustion. The mathematical model was created to verify the measured data and prediction of emission generation in the process of biomass combustion. This model consists of combustion of stoichiometry, calculation of combustion temperatures, obtained regression equations of NOx and CO. At the end of this paper, the obtained results are compared with the calculated models as well as the results of the defined dependencies from the regression analysis.

Development of a Mathematical Model for a Workpiece Heating and Cooling in a Protective Medium while Treatment under Pressure

2021 ◽  
Vol 410 ◽  
pp. 115-122
Author(s):  
Victoria V. Devyatiarova ◽  
Eugenia E. Balakhnina ◽  
Lilya M. Valeeva
Keyword(s):  
Mathematical Model ◽  
Cross Section ◽  
Arbitrary Shape ◽  
Thermal Conductivity Coefficient ◽  
Regression Equations ◽  
Heating And Cooling ◽  
Temperature Problem ◽  
Protective Medium ◽  
Computer Calculations ◽  
The Mathematical Model

The paper reviews and develops the mathematical model of plastic flow during the hot-forming processes. A flat non-stationary temperature problem for a cross-section of a long solid (rolled product) of arbitrary shape with different heat transfer conditions along the perimeter of the cross-section was considered. Equations for calculation of the thermal conductivity coefficient and heat capacity of tungsten billets were obtained in the temperature range of 700 - 1500°C, based on the literature data. Analytical dependences in form of regression equations were obtained, allowing for computer calculations of physical specifications of 11x11 mm VA grade tungsten billets in form of temperature functions with accuracy sufficient for practical calculations.

Accounting for Finite Flash Duration in Diffusivity Experiments

2009 ◽  
Author(s):  
Robert L. McMasters ◽  
Ralph B. Dinwiddie
Keyword(s):  
Mathematical Model ◽  
Thermal Diffusivity ◽  
Nonlinear Regression ◽  
Laser Flash ◽  
Measured Data ◽  
Flash Method ◽  
Flash Intensity ◽  
Flash Duration ◽  
Three Samples ◽  
The Mathematical Model

The laser flash method, as a means of measuring thermal diffusivity, is well established, and several manufacturers produce equipment for performing these types of experiments. Most analysis methods used for interpreting the data from these experiments assume one-dimensional transient conduction, with insulated surfaces during the time subsequent to the flash. More recently, models of greater sophistication employing nonlinear regression have been applied to flash diffusivity experiments. These models assume an instantaneous flash and are highly accurate for most samples of moderate diffusivity and sample thickness. As samples become thinner and more highly conductive, the duration of the experiments becomes very short. Since the duration of the flash is typically on the order of several milliseconds, the assumption that this period of time is instantaneous becomes less valid for very short experiments. A model accounting for the duration of the flash is applied to three samples of stainless steel of varying thicknesses and analyzed with two different mathematical models. One model accounts for the finite duration of the flash and the other does not. The model accounting for the flash duration generates results that are much more consistent between samples than the model assuming an instantaneous flash. Moreover, the conformance of the mathematical model accounting for flash duration is much closer to the measured data than the model which assumes an instantaneous flash. As part of the finite flash duration model, the length of the flash is estimated by nonlinear regression, optimizing the conformance of the model to the measured data. Additionally, the starting time of the flash is treated as a parameter and is determined simultaneously with flash duration, thermal diffusivity and flash intensity. Statistical methods are also used for showing the validity of the added level of sophistication of the more advanced mathematical model.

scholarly journals Nonlinear Digital Simulation and Minimum Fuel Control of a Jet Type Gas Turbine Power Generating Unit

1978 ◽  
Author(s):  
D. Weiner ◽  
F. S. Aschner ◽  
J. Dayan
Keyword(s):  
Mathematical Model ◽  
Mathematical Programming ◽  
Gas Turbine ◽  
Digital Simulation ◽  
Measured Data ◽  
Gas Generator ◽  
Nonlinear Simulation ◽  
Power Generating Unit ◽  
Simulation Results ◽  
The Mathematical Model

This paper discusses the digital nonlinear simulation of a twin-spool gas generator-free turbine power generating unit. The mathematical model derived is flexible and can be easily converted to suit any other gas turbine. Simulation results were verified by comparison to measured data. The model was applied to optimize a fuel control schedule by methods of Mathematical Programming, taking into account the constraints imposed by the protective control of the system.

A New Method of Data Pre-Processing to Two-Way Satellite Time and Frequency Transfer Experiments

2013 ◽  
Vol 718-720 ◽  
pp. 1316-1323
Author(s):  
Chang He Wang ◽  
Wei Chao Li ◽  
Ji Kun Ou ◽  
Xu Hai Yang
Keyword(s):  
Mathematical Model ◽  
Simulated Data ◽  
Measured Data ◽  
Basic Theory ◽  
New Method ◽  
Accurate Detection ◽  
Frequency Transfer ◽  
The Mathematical Model

Based on the basic theory of two-way satellite time and frequency transfer (TWSTFT), the mathematical model on real errors of observations is established in this paper. However, the model is rank-deficient. In order to solve this problem effectively, the paper introduces the algorithm of combining parameters, and applies Quasi-Accurate Detection of Gross Errors (QUAD) proposed in reference [ to data pre-processing. The method programs opportune algorithms and resolves the problem of detecting gross errors. In the end, the method has been verified to be successful by calculating and analysing simulated data and practical measured data.

scholarly journals MODELLING OF INTERNAL COMBUSTION ENGINES’ EMISSION THROUGH THE USE OF TRAFFIC FLOW MATHEMATICAL MODELS

Transport ◽  
2011 ◽  
Vol 26 (3) ◽  
pp. 271-278 ◽  
Author(s):  
Raimundas Junevičius ◽  
Marijonas Bogdevičius ◽  
Ádám Török
Keyword(s):  
Mathematical Model ◽  
Traffic Flow ◽  
Internal Combustion Engines ◽  
Internal Combustion ◽  
Flow Speed ◽  
Model Description ◽  
Regression Equations ◽  
Combustion Engines ◽  
Traffic Flows ◽  
The Mathematical Model

Road traffic flows on a straight road segment are modelled in this article. The mathematical model of traffic flows has been constructed by using the method of lumped parameters. CO2, CO, CH, NOx, PM regression equations of internal combustion engines’ (ICE) emission has been developed. The accuracy of regression equations is 0.98÷0.99. The article presents assumptions for constructing the mathematical model, description of the mathematical model and gives simulation results. Traffic flow parameters, such as traffic flow concentration and traffic flow speed are presented as modelling results. ICE emission depending on the concentration and traffic flow speed are presented as well.

The Econometric Analysis on the Agricultural Input and Yield of Shandong Province

2011 ◽  
Vol 403-408 ◽  
pp. 4528-4532
Author(s):  
Qian Wang ◽  
Li Zhang ◽  
Li Xia Pan
Keyword(s):  
Mathematical Model ◽  
Regression Analysis ◽  
Econometric Analysis ◽  
Shandong Province ◽  
Agricultural Economy ◽  
Agricultural Input ◽  
The Mathematical Model

Shandong is a big agricultural province. Embarking from the reality of the development of agricultural economy in Shandong Province, according to the principles of quantity economy, this paper establishes the mathematical model to the major economic target of the Shandong agriculture investment and the yield, carries on the regression analysis, researches the numerical relationship, and puts forward the related proposals.

scholarly journals Experimental verification of the properties of pneumatic elements

2018 ◽  
Vol 180 ◽  
pp. 02027
Author(s):  
K. Fojtášek ◽  
L. Dvořák ◽  
Š. Chmura
Keyword(s):  
Mathematical Model ◽  
Experimental Verification ◽  
Theoretical Data ◽  
Measured Data ◽  
Measuring System ◽  
The Subject ◽  
Potential Impact ◽  
The Mathematical Model

The subject of this article is experimental verification of properties of pneumatic elements. These elements have been a part of equipment for measuring of rotary air motors parameters. When comparing the measured data with the mathematical model, there were slight variations. The main objective is to verify the correct functioning of these pneumatic elements, comparing the measured results with theoretical data from the catalogs of manufacturers and determine their potential impact on the entire measuring system.

Study of Factors Effecting Surface Roughness and Tool Tip Temperature in Step Turning Using Factorial Technique

2015 ◽  
Vol 15 (4) ◽  
pp. 319-326
Author(s):  
Kondapalli Siva Prasad
Keyword(s):  
Mathematical Model ◽  
Surface Roughness ◽  
Regression Analysis ◽  
Process Parameters ◽  
Depth Of Cut ◽  
Turning Process ◽  
Nose Radius ◽  
Five Factors ◽  
The Mathematical Model ◽  
Anova Technique

AbstractThe paper focuses on the effect of various process parameters like spindle speed, feed, depth of cut, nose radius and machining condition on the Tool tip temperature and surface roughness in step turning process is investigated by using Factorial Technique. Five factors- Two levels are used and total 32 experiments are performed. The coefficients are calculated by using regression analysis and the model is constructed. The adequacy of the developed model is checked using Analysis of Variance (ANOVA) technique. By using the mathematical model the main and interaction effect of various process parameters on tool tip temperature and surface roughness are studied.

Sign in / Sign up

Export Citation Format

Share Document