**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**49

# mathematical model Related Publications

##### 49 Architecture Performance-Related Design Based on Graphic Parameterization

**Authors:**
Wenzhe Li,
Xiaoyu Ying,
Grace Ding

**Abstract:**

Architecture plane form is an important consideration in the design of green buildings due to its significant impact on energy performance. The most effective method to consider energy performance in the early design stages is parametric modelling. This paper presents a methodology to program plane forms using MATLAB language, generating 16 kinds of plane forms by changing four designed parameters. DesignBuilder (an energy consumption simulation software) was proposed to simulate the energy consumption of the generated planes. A regression mathematical model was established to study the relationship between the plane forms and their energy consumption. The main finding of the study suggested that there was a cubic function relationship between the depth-ratio of U-shaped buildings and energy consumption, and there is also a cubic function relationship between the width-ratio and energy consumption. In the design, the depth-ratio of U-shaped buildings should not be less than 2.5, and the width-ratio should not be less than 2.

**Keywords:**
green building design,
mathematical model,
graphic parameterization,
U-shaped buildings

##### 48 A Recommendation to Oncologists for Cancer Treatment by Immunotherapy: Quantitative and Qualitative Analysis

**Authors:**
Ali Ghaffari,
Mandana Kariminejad

**Abstract:**

**Keywords:**
Tumor,
Immunotherapy,
fuzzy controller,
mathematical model,
genetic
algorithm

##### 47 All-or-None Principle and Weakness of Hodgkin-Huxley Mathematical Model

**Authors:**
S. A. Sadegh Zadeh,
C. Kambhampati

**Abstract:**

Mathematical and computational modellings are the necessary tools for reviewing, analysing, and predicting processes and events in the wide spectrum range of scientific fields. Therefore, in a field as rapidly developing as neuroscience, the combination of these two modellings can have a significant role in helping to guide the direction the field takes. The paper combined mathematical and computational modelling to prove a weakness in a very precious model in neuroscience. This paper is intended to analyse all-or-none principle in Hodgkin-Huxley mathematical model. By implementation the computational model of Hodgkin-Huxley model and applying the concept of all-or-none principle, an investigation on this mathematical model has been performed. The results clearly showed that the mathematical model of Hodgkin-Huxley does not observe this fundamental law in neurophysiology to generating action potentials. This study shows that further mathematical studies on the Hodgkin-Huxley model are needed in order to create a model without this weakness.

**Keywords:**
Computational Modelling,
mathematical model,
action potential,
all-or-none,
transmembrane voltage

##### 46 Mathematical Modelling and Numerical Simulation of Maisotsenko Cycle

**Authors:**
Rasikh Tariq,
Fatima Z. Benarab

**Abstract:**

Evaporative coolers has a minimum potential to reach the wet-bulb temperature of intake air which is not enough to handle a large cooling load; therefore, it is not a feasible option to overcome cooling requirement of a building. The invention of Maisotsenko (M) cycle has led evaporative cooling technology to reach the sub-wet-bulb temperature of the intake air; therefore, it brings an innovation in evaporative cooling techniques. In this work, we developed a mathematical model of the Maisotsenko based air cooler by applying energy and mass balance laws on different air channels. The governing ordinary differential equations are discretized and simulated on MATLAB. The temperature and the humidity plots are shown in the simulation results. A parametric study is conducted by varying working air inlet conditions (temperature and humidity), inlet air velocity, geometric parameters and water temperature. The influence of these aforementioned parameters on the cooling effectiveness of the HMX is reported. Results have shown that the effectiveness of the M-Cycle is increased by increasing the ambient temperature and decreasing absolute humidity. An air velocity of 0.5 m/sec and a channel height of 6-8mm is recommended.

**Keywords:**
Renewable Energy,
Numerical Simulation,
indirect evaporative cooling,
mathematical model,
HMX,
maisotsenko cycle

##### 45 Formulation of Extended-Release Gliclazide Tablet Using a Mathematical Model for Estimation of Hypromellose

**Authors:**
Farzad Khajavi,
Farzaneh Jalilfar,
Faranak Jafari,
Leila Shokrani

**Abstract:**

Formulation of gliclazide in the form of extended-release tablet in 30 and 60 mg dosage forms was performed using hypromellose (HPMC K4M) as a retarding agent. Drug-release profiles were investigated in comparison with references Diamicron MR 30 and 60 mg tablets. The effect of size of powder particles, the amount of hypromellose in formulation, hardness of tablets, and also the effect of halving the tablets were investigated on drug release profile. A mathematical model which describes hypromellose behavior in initial times of drug release was proposed for the estimation of hypromellose content in modified-release gliclazide 60 mg tablet. This model is based on erosion of hypromellose in dissolution media. The model is applicable to describe release profiles of insoluble drugs. Therefore, by using dissolved amount of drug in initial times of dissolution and the model, the amount of hypromellose in formulation can be predictable. The model was used to predict the HPMC K4M content in modified-release gliclazide 30 mg and extended-release quetiapine 200 mg tablets.

**Keywords:**
Drug Release,
mathematical model,
Gliclazide,
hypromellose,
modified-release tablet

##### 44 A Theoretical Analysis for Modeling and Prediction of the Jet Engine Emissions

**Authors:**
Jamal S. Yassin

**Abstract:**

This paper is to formulate a mathematical model to predict the amounts of the emissions produced from the combustion process of the gas turbine unit of the jet engine. These emissions have bad impacts on the environment if they are out of standards, which cause real threats to all type of life on the earth. The amounts of the emissions from the gas turbine engine are functions to many operational and design factors. In landing-takeoff (LTO) these amounts are not the same as in taxi or cruise of the plane using jet engines, because of the difference in the activity period during these operating modes. These emissions can be affected by several physical and chemical variables, such as fuel type, fuel to air ratio or equivalence ratio, flame temperature, combustion pressure, in addition to some inlet conditions such as ambient temperature and air humidity. To study the influence of these variables on the amounts of these emissions during the combustion process in the gas turbine unit, a computer program has been developed by using the visual basic 6 software. Here, the analysis of the combustion process is carried out by considering it as a chemical reaction with shifting equilibrium to find the products of the combustion of the octane fuel, at different equivalence ratios, compressor pressure ratios (CPR) and combustion temperatures. The results obtained have shown that there is noticeable influence of the equivalence ratio, CPR, and the combustion temperature on the amounts of the main emissions which are considered pollutants, such as CO, CO_{2} and NO.

**Keywords:**
Emissions,
equivalence ratio,
mathematical model,
gas turbine unit,
shifting equilibrium

##### 43 Applicability of Linearized Model of Synchronous Generator for Power System Stability Analysis

**Authors:**
J. Ritonja,
B. Grcar

**Abstract:**

For the synchronous generator simulation and analysis and for the power system stabilizer design and synthesis a mathematical model of synchronous generator is needed. The model has to accurately describe dynamics of oscillations, while at the same time has to be transparent enough for an analysis and sufficiently simplified for design of control system. To study the oscillations of the synchronous generator against to the rest of the power system, the model of the synchronous machine connected to an infinite bus through a transmission line having resistance and inductance is needed. In this paper, the linearized reduced order dynamic model of the synchronous generator connected to the infinite bus is presented and analysed in details. This model accurately describes dynamics of the synchronous generator only in a small vicinity of an equilibrium state. With the digression from the selected equilibrium point the accuracy of this model is decreasing considerably. In this paper, the equations’ descriptions and the parameters’ determinations for the linearized reduced order mathematical model of the synchronous generator are explained and summarized and represent the useful origin for works in the areas of synchronous generators’ dynamic behaviour analysis and synchronous generator’s control systems design and synthesis. The main contribution of this paper represents the detailed analysis of the accuracy of the linearized reduced order dynamic model in the entire synchronous generator’s operating range. Borders of the areas where the linearized reduced order mathematical model represents accurate description of the synchronous generator’s dynamics are determined with the systemic numerical analysis. The thorough eigenvalue analysis of the linearized models in the entire operating range is performed. In the paper, the parameters of the linearized reduced order dynamic model of the laboratory salient poles synchronous generator were determined and used for the analysis. The theoretical conclusions were confirmed with the agreement of experimental and simulation results.

**Keywords:**
Power System Stability,
mathematical model,
synchronous generator,
eigenvalue analysis

##### 42 Increase of Energy Efficiency by Means of Application of Active Bearings

**Authors:**
Alexander Babin,
Leonid Savin

**Abstract:**

In the present paper, increasing of energy efficiency of a thrust hybrid bearing with a central feeding chamber is considered. The mathematical model was developed to determine the pressure distribution and the reaction forces, based on the Reynolds equation and static characteristics’ equations. The boundary problem of pressure distribution calculation was solved using the method of finite differences. For various types of lubricants, geometry and operational characteristics, axial gaps can be determined, where the minimal friction coefficient is provided. The next part of the study considers the application of servovalves in order to maintain the desired position of the rotor. The report features the calculation results and the analysis of the influence of the operational and geometric parameters on the energy efficiency of mechatronic fluid-film bearings.

**Keywords:**
Mechatronics,
Energy Efficiency,
mathematical model,
active bearings,
thrust multipad bearing

##### 41 A Sustainable Design Model by Integrated Evaluation of Closed-loop Design and Supply Chain Using a Mathematical Model

**Authors:**
Yuan-Jye Tseng,
Yi-Shiuan Chen

**Abstract:**

**Keywords:**
Supply Chain Management,
Design Evaluation,
mathematical model,
closed-loop design,
closed-loop supply chain,
sustainable design model

##### 40 Evaluation of the Beach Erosion Process in Varadero, Matanzas, Cuba: Effects of Different Hurricane Trajectories

**Authors:**
Jr.,
Ana Gabriela Diaz,
Luis Fermín Córdova,
Roberto Lamazares

**Abstract:**

The island of Cuba, the largest of the Greater Antilles, is located in the tropical North Atlantic. It is annually affected by numerous weather events, which have caused severe damage to our coastal areas. In the same way that many other coastlines around the world, the beautiful beaches of the Hicacos Peninsula also suffer from erosion. This leads to a structural regression of the coastline. If measures are not taken, the hotels will be exposed to the advance of the sea, and it will be a serious problem for the economy. With the aim of studying the intensity of this type of activity, specialists of group of coastal and marine engineering from CIH, in the framework of the research conducted within the project MEGACOSTAS 2, provide their research to simulate extreme events and assess their impact in coastal areas, mainly regarding the definition of flood volumes and morphodynamic changes in sandy beaches. The main objective of this work is the evaluation of the process of Varadero beach erosion (the coastal sector has an important impact in the country's economy) on the Hicacos Peninsula for different paths of hurricanes. The mathematical model XBeach, which was integrated into the Coastal engineering system introduced by the project of MEGACOSTA 2 to determine the area and the more critical profiles for the path of hurricanes under study, was applied. The results of this project have shown that Center area is the greatest dynamic area in the simulation of the three paths of hurricanes under study, showing high erosion volumes and the greatest average length of regression of the coastline, from 15- 22 m.

**Keywords:**
erosion,
mathematical model,
coastal areas,
beach

##### 39 Modelling Phytoremediation Rates of Aquatic Macrophytes in Aquaculture Effluent

**Authors:**
A. O. Ogunlela,
E. A. Kiridi

**Abstract:**

Pollutants from aquacultural practices constitute environmental problems and phytoremediation could offer cheaper environmentally sustainable alternative since equipment using advanced treatment for fish tank effluent is expensive to import, install, operate and maintain, especially in developing countries. The main objective of this research was, therefore, to develop a mathematical model for phytoremediation by aquatic plants in aquaculture wastewater. Other objectives were to evaluate the retention times on phytoremediation rates using the model and to measure the nutrient level of the aquaculture effluent and phytoremediation rates of three aquatic macrophytes, namely; water hyacinth (*Eichornia crassippes*), water lettuce (*Pistial stratoites*) and morning glory (*Ipomea asarifolia*). A completely randomized experimental design was used in the study. Approximately 100 g of each macrophyte were introduced into the hydroponic units and phytoremediation indices monitored at 8 different intervals from the first to the 28^{th} day. The water quality parameters measured were pH and electrical conductivity (EC). Others were concentration of ammonium–nitrogen (NH4^{+} -N), nitrite- nitrogen (NO_{2}^{-} -N), nitrate- nitrogen (NO_{3}^{-} -N), phosphate –phosphorus (PO_{4}^{3-} -P), and biomass value. The biomass produced by water hyacinth was 438.2 g, 600.7 g, 688.2 g and 725.7 g at four 7–day intervals. The corresponding values for water lettuce were 361.2 g, 498.7 g, 561.2 g and 623.7 g and for morning glory were 417.0 g, 567.0 g, 642.0 g and 679.5g. Coefficient of determination was greater than 80% for EC, TDS, NO_{2}^{-} -N, NO_{3}^{-} -N and 70% for NH_{4}^{+} -N using any of the macrophytes and the predicted values were within the 95% confidence interval of measured values. Therefore, the model is valuable in the design and operation of phytoremediation systems for aquaculture effluent.

**Keywords:**
Phytoremediation,
mathematical model,
macrophytes,
aquaculture effluent,
hydroponic unit

##### 38 Assessment of Landfill Pollution Load on Hydroecosystem by Use of Heavy Metal Bioaccumulation Data in Fish

**Authors:**
Gintarė Sauliutė,
Gintaras Svecevičius

**Abstract:**

Landfill leachates contain a number of persistent pollutants, including heavy metals. They have the ability to spread in ecosystems and accumulate in fish which most of them are classified as top-consumers of trophic chains. Fish are freely swimming organisms; but perhaps, due to their species-specific ecological and behavioral properties, they often prefer the most suitable biotopes and therefore, did not avoid harmful substances or environments. That is why it is necessary to evaluate the persistent pollutant dispersion in hydroecosystem using fish tissue metal concentration. In hydroecosystems of hybrid type (e.g. river-pond-river) the distance from the pollution source could be a perfect indicator of such a kind of metal distribution. The studies were carried out in the Kairiai landfill neighboring hybrid-type ecosystem which is located 5 km east of the Šiauliai City. Fish tissue (gills, liver, and muscle) metal concentration measurements were performed on two types of ecologically-different fishes according to their feeding characteristics: benthophagous (Gibel carp, roach) and predatory (Northern pike, perch). A number of mathematical models (linear, non-linear, using log and other transformations) have been applied in order to identify the most satisfactorily description of the interdependence between fish tissue metal concentration and the distance from the pollution source. However, the only one log-multiple regression model revealed the pattern that the distance from the pollution source is closely and positively correlated with metal concentration in all predatory fish tissues studied (gills, liver, and muscle).

**Keywords:**
Heavy Metals,
Landfill Leachate,
mathematical model,
bioaccumulation in fish,
hydroecosystem

##### 37 Correlational Analysis between Brain Dominances and Multiple Intelligences

**Authors:**
Rajeev Sukumaran,
Lakshmi Dhandabani

**Abstract:**

**Keywords:**
Data Analysis,
Dynamic Equilibrium,
mathematical model,
Thinking style assessment,
correlational analysis

##### 36 The Effects of a Thin Liquid Layer on the Hydrodynamic Machine Rotor

**Authors:**
František Pochylý,
Jaroslav Krutil,
Simona Fialová,
Vladimír Habán

**Abstract:**

**Keywords:**
Computational Modeling,
mathematical model,
hydrodynamic gap,
matrices of mass,
stiffness and damping

##### 35 Evaluation of Low-Reducible Sinter in Blast Furnace Technology by Mathematical Model Developed at Centre ENET, VSB – Technical University of Ostrava

**Authors:**
S. Jursová,
P. Pustějovská,
S. Brožová,
J. Bilík

**Abstract:**

The paper deals with possibilities of interpretation of iron ore reducibility tests. It presents a mathematical model developed at Centre ENET, VŠB – Technical University of Ostrava, Czech Republic for an evaluation of metallurgical material of blast furnace feedstock such as iron ore, sinter or pellets. According to the data from the test, the model predicts its usage in blast furnace technology and its effects on production parameters of shaft aggregate. At the beginning, the paper sums up the general concept and experience in mathematical modelling of iron ore reduction. It presents basic equation for the calculation and the main parts of the developed model. In the experimental part, there is an example of usage of the mathematical model. The paper describes the usage of data for some predictive calculation. There are presented material, method of carried test of iron ore reducibility. Then there are graphically interpreted effects of used material on carbon consumption, rate of direct reduction and the whole reduction process.

**Keywords:**
mathematical model,
blast furnace technology,
iron ore reduction,
prediction of iron ore reduction

##### 34 Process Design and Application of Aerobic Hybrid Bioreactor in the Treatment of Municipal Wastewater

**Authors:**
Debabrata Mazumder,
Sushovan Sarkar

**Abstract:**

Hybrid bioreactor having both suspended-growth and attached-growth bacteria is found a novel and excellent bioreactor system for treating the municipal wastewater containing inhibitory substrates too. In this reactor a fraction of substrate is used by suspended biomass and the remaining by attached biomass resulting in the competition between the two growths for the substrate. The combination of suspended and attached growth provides the system with enhanced biomass concentration and sludge age more than those in ASP. Similar to attached growth system, the hybrid bioreactor ensures considerable efficiency for treating toxic and refractory substances in wastewater. For the process design of hybrid bioreactor a suitable mathematical model is required. Although various mathematical models were developed on hybrid bioreactor in due course of time in earlier research works, none of them was found having a specific simplified solution of the corresponding models and without having any drawback. To overcome this drawback authors already developed a simplified mathematical model for process design of a hybrid bioreactor. The present paper briefly highlights on the various aspects of process design of an aerobic hybrid bioreactor for the treatment of municipal wastewater.

**Keywords:**
Application,
Municipal Wastewater,
mathematical model,
Hybrid bioreactor,
process
design

##### 33 Integrated Evaluation of Green Design and Green Manufacturing Processes Using a Mathematical Model

**Authors:**
Yuan-Jye Tseng,
Shin-Han Lin

**Abstract:**

In this research, a mathematical model for integrated evaluation of green design and green manufacturing processes is presented. To design a product, there can be alternative options to design the detailed components to fulfill the same product requirement. In the design alternative cases, the components of the product can be designed with different materials and detailed specifications. If several design alternative cases are proposed, the different materials and specifications can affect the manufacturing processes. In this paper, a new concept for integrating green design and green manufacturing processes is presented. A green design can be determined based the manufacturing processes of the designed product by evaluating the green criteria including energy usage and environmental impact, in addition to the traditional criteria of manufacturing cost. With this concept, a mathematical model is developed to find the green design and the associated green manufacturing processes. In the mathematical model, the cost items include material cost, manufacturing cost, and green related cost. The green related cost items include energy cost and environmental cost. The objective is to find the decisions of green design and green manufacturing processes to achieve the minimized total cost. In practical applications, the decision-making can be made to select a good green design case and its green manufacturing processes. In this presentation, an example product is illustrated. It shows that the model is practical and useful for integrated evaluation of green design and green manufacturing processes.

**Keywords:**
Supply Chain Management,
Green Manufacturing,
Green supply chain,
Green Design,
mathematical model

##### 32 Software Reliability Prediction Model Analysis

**Authors:**
L. Mirtskhulava,
M. Khunjgurua,
N. Lomineishvili,
K. Bakuria

**Abstract:**

Software reliability prediction gives a great opportunity to measure the software failure rate at any point throughout system test. A software reliability prediction model provides with the technique for improving reliability. Software reliability is very important factor for estimating overall system reliability, which depends on the individual component reliabilities. It differs from hardware reliability in that it reflects the design perfection. Main reason of software reliability problems is high complexity of software. Various approaches can be used to improve the reliability of software. We focus on software reliability model in this article, assuming that there is a time redundancy, the value of which (the number of repeated transmission of basic blocks) *can *be an *optimization parameter*. We consider given mathematical model in the assumption that in the system may occur not only irreversible failures, but also a failure that can be taken as self-repairing failures that significantly affect the reliability and accuracy of information transfer. Main task of the given paper is to find a time distribution function (DF) of instructions sequence transmission, which consists of random number of basic blocks. We consider the system software unreliable; the time between adjacent failures has exponential distribution.

**Keywords:**
Software reliability,
exponential distribution,
conditional mean time to failure,
distribution function,
mathematical model

##### 31 A Simple Epidemiological Model for Typhoid with Saturated Incidence Rate and Treatment Effect

**Authors:**
Steady Mushayabasa

**Abstract:**

Typhoid fever is a communicable disease, found only in man and occurs due to systemic infection mainly by Salmonella typhi organism. The disease is endemic in many developing countries and remains a substantial public health problem despite recent progress in water and sanitation coverage. Globally, it is estimated that typhoid causes over 16 million cases of illness each year, resulting in over 600,000 deaths. A mathematical model for assessing the impact of educational campaigns on controlling the transmission dynamics of typhoid in the community, has been formulated and analyzed. The reproductive number has been computed. Stability of the model steady-states has been examined. The impact of educational campaigns on controlling the transmission dynamics of typhoid has been discussed through the basic reproductive number and numerical simulations. At its best the study suggests that targeted education campaigns, which are effective at stopping transmission of typhoid more than 40% of the time, will be highly effective at controlling the disease in the community.

**Keywords:**
treatment,
Typhoid,
Sensitivity Analysis,
mathematical model,
saturated incidence rate,
reproductive number

##### 30 Mathematical Modeling of Elastically Creeping State of Arbitrarily Orientated Cavities in the Transversally Isotropic Massif

**Authors:**
N. Azhikhanov,
T. Turimbetov,
Zh. Masanov,
N. Zhunisov

**Abstract:**

It can be determined in preference between representative mechanical and mathematical model of elasticcreeping deformation of transversally isotropic array with doubly periodic system of tilted slots, and offer of the finite elements calculation scheme, and inspection of the states of two diagonal arbitrary profile cavities of deep inception, and in setting up the tense and dislocation fields distribution nature in computing processes.

**Keywords:**
Tunnel,
Finite elements,
mathematical model,
transversally isotropic

##### 29 The Effects of Biomass Parameters on the Dissolved Organic Carbon Removal in a Sponge Submerged Membrane Bioreactor

**Authors:**
M. F. R. Zuthi,
H. H. Ngo,
W. S. Guo,
T. T. Nguyen

**Abstract:**

**Keywords:**
mathematical model,
acclimatization,
dissolved organic carbon,
Sponge submerged membrane bioreactor

##### 28 Calculation of the Forces Acting on the Knee Joint When Rising from Kneeling Positions (Effects of the Leg Alignment and the Arm Assistance on the Knee Joint Forces)

**Authors:**
S. Hirokawa,
M. Fukunaga,
M. Mawatari

**Abstract:**

**Keywords:**
Biomechanics,
mathematical model,
Knee joint force,
kneeling

##### 27 Mathematical Model for the Transmission of Leptospirosis in Juvennile and Adults Humans

**Authors:**
P. Pongsumpun

**Abstract:**

**Keywords:**
mathematical model,
leptospirosis,
Adult human,
juvenile human

##### 26 Predictability Analysis on HIV/AIDS System using Hurst Exponents

**Authors:**
K. Kamalanand,
P. Mannar Jawahar

**Abstract:**

**Keywords:**
Chaos Theory,
HIV/AIDS,
mathematical model,
Hurst
exponent

##### 25 Numerical Analysis on Rapid Decompression in Conventional Dry Gases using One- Dimensional Mathematical Modeling

**Authors:**
Evgeniy Burlutskiy

**Abstract:**

**Keywords:**
mathematical model,
Rapid Gas Decompression

##### 24 Numerical Analysis of Oil-Water Transport in Horizontal Pipes Using 1D Transient Mathematical Model of Thermal Two-Phase Flows

**Authors:**
Evgeniy Burlutskiy

**Abstract:**

**Keywords:**
mathematical model,
Oil-Water,
Pipe flows

##### 23 Design of a MSF Desalination Plant to be Supplied by a New Specific 42 MW Power Plant Located in Iran

**Authors:**
Rouzbeh Shafaghat,
Hoda Shafaghat,
Fatemeh Ghanbari,
Pouya Sirous Rezaei,
Rohollah Espanani

**Abstract:**

Nowadays, desalination of salt water is considered an important industrial process. In many parts of the world, particularly in the gulf countries, the multi-stage flash (MSF) water desalination has an essential contribution in the production of fresh water. In this study, a simple mathematical model is defined to design a MSF desalination system and the feasibility of using the MSF desalination process in proximity of a 42 MW power plant is investigated. This power plant can just provide 10 ton/h superheated steam from low pressure (LP) section of heat recovery steam generator (HRSG) for thermal desalting system. The designed MSF system with gained output ratio (GOR) of 10.3 has 24 flashing stages and can produce 2480 ton/d of fresh water. The expected performance characteristics of the designed MSF desalination plant are determined. In addition, the effect of motive water pressure on the amount of non-condensable gases removed by water jet vacuum pumps is investigated.

**Keywords:**
Design,
mathematical model,
dual-purpose power plant,
MSF desalination

##### 22 Numerical Analysis of Rapid Gas Decompression in Pure Nitrogen using 1D and 3D Transient Mathematical Models of Gas Flow in Pipes

**Authors:**
Evgeniy Burlutskiy

**Abstract:**

**Keywords:**
mathematical model,
Rapid Gas Decompression

##### 21 Mathematical Modeling of Non-Isothermal Multi-Component Fluid Flow in Pipes Applying to Rapid Gas Decompression in Rich and Base Gases

**Authors:**
Evgeniy Burlutskiy

**Abstract:**

**Keywords:**
mathematical model,
Rapid Gas Decompression,
Multi-Component gas mixture
flow

##### 20 Mathematical Model and Control Strategy on DQ Frame for Shunt Active Power Filters

**Authors:**
K-N. Areerak,
K-L. Areerak,
P. Santiprapan

**Abstract:**

**Keywords:**
mathematical model,
shunt active power filter,
DQ
control strategy,
DQ axis with Fourier,
pulse width modulation
control