The study of secondary settler modelling, which aims to establish the main model (one-dimensional-1D model), which is involved in some fundamental processes of the hydrodynamic behaviour of this liquid/solid separatio...
The study of secondary settler modelling, which aims to establish the main model (one-dimensional-1D model), which is involved in some fundamental processes of the hydrodynamic behaviour of this liquid/solid separation unit and to engender variations of the sludge blanket height as a function of the operating parameters and maintaining of the municipal wastewater treatment plant of Setif. The objective of this research is focused on solid/liquid separation in the secondary settler by attempting a mathematical model that allows us to evaluate the sedimentation velocity as a function of the sludge settleability parameters.
In the 21 st century, numerical analysis is a proven tool for research and development of manufacturing processes. mathematicalmodelling provides information about the behaviour of various materials during forming pr...
In the 21 st century, numerical analysis is a proven tool for research and development of manufacturing processes. mathematicalmodelling provides information about the behaviour of various materials during forming processes, for instance. The real-world process is therefore represented by an abstract mathematical model, on which calculations are performed. Three-roll skew rolling can be used for various grades of steel. This paper presents the results of a theoretical analysis of skew rolling of bars with an initial diameter of 30 mm for three different carbon steels, S235JRC, C45 and C60, and austenitic stainless steel AISI 321. The final diameter of the rolled bars was 22 mm and was achieved in a single pass. Several different rolling speeds were used for the stainless steel. The simulations were carried out using DEFORM 2D/3D software. The behaviour of the materials during rolling was analysed, including the values of effective strain and stress.
In this paper we analyse the kinematics and dynamics of the human upper limb to determine the position and the orientation of the shoulder and elbow joints in accordance with the forward and reverse kinematic mathemat...
In this paper we analyse the kinematics and dynamics of the human upper limb to determine the position and the orientation of the shoulder and elbow joints in accordance with the forward and reverse kinematic mathematical model and the Jacobian forward and reverse kinematic mathematical model. We also developed a 3D human arm model in a computer aided-design software based on the result determined from mathematical models and in accordance with five degrees of freedom offered by anatomical position of human arm revolute joints associated to the shoulder and elbow. We simulated the entire dynamics of human arm in Matlab-Simulink in order to control the movement according to different predefined trajectories.
The article represents the results of mathematicalmodelling of behaviour of the granular medium on an oscillating rough surface. Granular medium under the action of vibration is considered as a non-Newtonian (dilatan...
The article represents the results of mathematicalmodelling of behaviour of the granular medium on an oscillating rough surface. Granular medium under the action of vibration is considered as a non-Newtonian (dilatant) fluid. The system of differential equations of continuum mechanics is solved using the modified large particles method. An algorithm for solving the problem for granular media with different properties under external influences is proposed.
Consideration of uncertainties in bridge structural engineering is a growing topic because it provides valuable information on the reliability of bridges in time while addressing life-cycle aspects. Utilization of non...
Consideration of uncertainties in bridge structural engineering is a growing topic because it provides valuable information on the reliability of bridges in time while addressing life-cycle aspects. Utilization of nonlinear finite element method (NLFEM) and Monte Carlo (MC) type simulation is essential for modelling of the concrete bridge random behaviour and its reliability assessments. Generally, a physical problem can be represented by a mathematical model, which depends on input parameters (material characteristics, geometry, etc.). The aim of the stochastic analysis is to propagate uncertainties through a mathematical model to gain statistical information from the output as well as information about the sensitivity of the mathematical model to uncertainties in input variables. However, in bridge engineering, the mathematical model can be quite complex and uncertainty propagation solved by classical MC approach is very difficult to perform as MC type simulation involves large number of numerical evaluations of structural response. Therefore, advanced statistical and reliability techniques, including meta-modelling, have to be applied. The paper describes methodology of such integrated approach for a routine complex assessment utilizing developed software tools and practical application of the approach for selected case studies of concrete bridges from Czech Republic.
Many researches has been done on the lateral collapse of tube. However, the previous researches only focus on cylindrical and square tubes. Then a research has been done discovering the collapse behaviour of hexagonal...
Many researches has been done on the lateral collapse of tube. However, the previous researches only focus on cylindrical and square tubes. Then a research has been done discovering the collapse behaviour of hexagonal tube and the mathematic model of the deformation behaviour had been developed [8]. The purpose of this research is to study the lateral collapse behaviour of symmetric octagonal tubes and hence to develop a mathematical model of the collapse behaviour of these tubes. For that, a predictive mathematical model was developed and a finite element analysis procedure was conducted for the lateral collapse behaviour of symmetric octagonal tubes. Lastly, the mathematical model was verified by using the finite element analysis simulation results. It was discovered that these tubes performed different deformation behaviour than the cylindrical tube. Symmetric octagonal tubes perform 2 phases of elastic - plastic deformation behaviour patterns. The mathematical model had managed to show the fundamental of the deformation behaviour of octagonal tubes. However, further studies need to be conducted in order to further improve on the proposed mathematical model.
This paper describes review of the relevant literature about two phase analysis of air and particle flow through human airways. An emphasis of the review is placed on elaborating the steps involved in two phase analys...
This paper describes review of the relevant literature about two phase analysis of air and particle flow through human airways. An emphasis of the review is placed on elaborating the steps involved in two phase analysis, which are Geometric modelling methods and mathematical models. The first two parts describes various approaches that are followed for constructing an Airway model upon which analysis are conducted. Broad two categories of geometric modelling viz. Simplified modelling and Accurate modelling using medical scans are discussed briefly. Ease and limitations of simplified models, then examples of CT based models are discussed. In later part of the review different mathematical models implemented by researchers for analysis are briefed. mathematical models used for Air and Particle phases are elaborated separately.
Mankind has been witnessing the invasion of pandemic COVID-19 since December 2019. This is not the first time that the world population is suffering from such a deadly infectious disease. In earlier times also the wel...
Mankind has been witnessing the invasion of pandemic COVID-19 since December 2019. This is not the first time that the world population is suffering from such a deadly infectious disease. In earlier times also the well-being of human beings was disturbed by the diseases like AIDS, SARS, MARS, Polio Plague, Bubonic Plague. During the outbreak of COVID-19, almost all the major sectors-Schools, colleges, railways, air traffic, road traffic, and industrial units remains closed for a long time. It is well known that modelling in mathematical sciences has also played its role in combating and reducing the impacts of infectious diseases. Therefore, the purpose of this paper is made to analyse and explain the dynamical behaviour of pandemics through mathematicalmodelling. The models like SIR, SEIR, SEIRD, SEAIHCRD, SAUQAR may be seen in the epidemiological literature. The present study has analysed the COVID like pandemic with the help of the Lyapunov Method and Routh Hurwitz stability criteria along with the Jacobian method. mathematical software MATLAB has been used to check the stability/instability of the growth of the pandemic. The mathematical Model SVIER in the present study takes the parametric value from natural birth rate, rate of vaccination for susceptible population, the rate at which vaccinated population again enters into the susceptible population, the natural death rate, rate of vaccination, rate of infection to infected class, the rate of recovery and the rate at which vaccinated class is directly recovered without getting infected and determines the stability of growth of pandemic. In this study, attempt has been made to destabilize the growth of pandemics and formulate a tool to control, contain and eradicate the long-term effects of pandemics. In our findings, it has been observed that Pandemic growth can be controlled through containment of parameters like vaccination, quarantine or hospitalization.
Analytical modeling of the flow of manufacturing process of the cement is difficult because of their complexity and has not resulted in sufficiently precise mathematical models. In this paper, based on a statistical m...
Analytical modeling of the flow of manufacturing process of the cement is difficult because of their complexity and has not resulted in sufficiently precise mathematical models. In this paper, based on a statistical model of the process and using the knowledge of human experts, was designed a fuzzy system for automatic control of clinkering process.
The world is still struggling with a substantial loss of human life as a outcome caused by COVID-19. For futuristic purpose of wellbeingness of human life it’s important to study such type of pathogen in an authentic...
The world is still struggling with a substantial loss of human life as a outcome caused by COVID-19. For futuristic purpose of wellbeingness of human life it’s important to study such type of pathogen in an authentic manner using mathematicalmodelling. In this study some mathematical prediction models based on data from nations, including China, Italy, France, India, Iran and Turkey are reviewed. It was observed that researchers presented a model in number of ways for projecting COVID findings. It was also observed that result from trained data correlate to a great extent albeit not fully to the test data. Finally, several potential futuristic techniques for improving model efficacy are proposed.
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