Transition of steady air flow into an anharmonic acoustic pulsed flow in a prototype reactor column: Experimental results and mathematical modeling

2014 ◽  
Vol 136 (4) ◽  
pp. 2208-2208
Author(s):  
Hasson M. Tavossi
Keyword(s):  
Mathematical Modeling ◽  
Air Flow ◽  
Experimental Results ◽  
Pulsed Flow

Feeding Mathematical Modeling of Superalloy Vacuum-Electromagnetic Casting and its Application

2012 ◽  
Vol 629 ◽  
pp. 171-175
Author(s):  
Wen Zhong Jin ◽  
Su Fang Li ◽  
Wei Zhang
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
New Technology ◽  
Experimental Results ◽  
Electromagnetic Stirring ◽  
Shrinkage Cavity ◽  
Vacuum Casting ◽  
Electromagnetic Casting ◽  
Wide Range

The new technology of superalloy vacuum-electromagnetic casting was developed and the feeding mathematical model melt in vacuum-electromagnetic casting was established. The availability of mathematical model was approved by the experiments of the IN100 superalloy. The experimental results indicate that the feeding capacity of melt in vacuum casting can be greatly increased by imposing the 50Hz, 60A rotating electromagnetic stirring, which can decrease the central shrinkage cavity in superalloy ingots, so the quality of the superalloy ingots can be wide-range improved.

Mathematical Modeling of Electrochemical Deburring

2010 ◽  
Vol 126-128 ◽  
pp. 545-550 ◽  
Author(s):  
Wen Ji Xu ◽  
W. Wang ◽  
Xu Yue Wang ◽  
Gui Bing Pang
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Influencing Factors ◽  
Applied Voltage ◽  
Experimental Results ◽  
Electrode Gap ◽  
Workpiece Material ◽  
Burr Height ◽  
Object A ◽  
The Mathematical Model

The drilling burr is taken as the research object. A mathematical model of electrochemical deburring (ECD) is established and the effects of main influencing factors, such as inter-electrode gap, applied voltage and deburring time, on burr height have been analyzed. The results show that the deburring time increases with the increase of initial burr height, inter-electrode gap, with the decrease of volume of electrochemical equivalent of the workpiece material, conductivity of electrolyte and applied voltage. The deburring time for various burr heights can be predicted by the mathematical model. The calculated results obtained from the mathematical model are approximately consistent with the experimental results. The results show that initial burr height h0=0.722mm is removed, and the fillet radius R=0.211mm is obtained.

scholarly journals A Study on Double Concentric Jets : 1st Report, Experimental Results of Air-Air Flow

1972 ◽  
Vol 38 (311) ◽  
pp. 1753-1762
Author(s):  
Ryuichi MATSUMOTO ◽  
Kyoji KIMOTO ◽  
Nobutaka TSUCHIMOTO
Keyword(s):  
Air Flow ◽  
Experimental Results

Modeling and Optimization on Yard Allocation Planning for Container Terminals

2010 ◽  
Vol 156-157 ◽  
pp. 540-546
Author(s):  
Lei Lin Yu ◽  
Zhi Qiang Lu ◽  
Li Feng Xi ◽  
Zhan Wan ◽  
Lin Li
Keyword(s):  
Mathematical Modeling ◽  
Heuristic Algorithms ◽  
Operational Efficiency ◽  
Experimental Results ◽  
Container Terminals ◽  
Modeling And Optimization ◽  
Container Logistics ◽  
Promising Tool ◽  
Container Shipment ◽  
Allocation Planning

The increase of container shipment causes higher demand on the seaport container terminals, container logistics and management. How to rationally allocate the limited space resources and how to improve operational efficiency, is an important subject for container terminals. In this paper, the mathematical modeling and optimization on yard allocation planning based on the mixed storage is proposed with an objective to balance the workload among different blocks and to minimize the delay of container ships. Two corresponding heuristic algorithms are developed to solve this problem. The experimental results show that the proposed algorithms are the promising tool for allocating blocks’ workload.

scholarly journals MATHEMATICAL MODELING OF PROCESSES OF SEPARATION OF COMPONENTS OF GRAIN MATERIAL IN THE COMBINED VIBRATION-AIR SEPARATOR

2020 ◽  
pp. 51-59
Author(s):  
Sergey Stepanenko ◽  
Borys Kotov
Keyword(s):  
Mathematical Modeling ◽  
Equations Of Motion ◽  
Air Flow ◽  
Flow Speed ◽  
Material Point ◽  
Experiment Planning ◽  
Theoretical Studies ◽  
Fluidized Layer ◽  
Aerodynamic Properties ◽  
Air Separator

Development of a mathematical model and calculated analytical dependencies for determining the trajectories and parameters of grain movement in a vibro-fluidized layer of grain material components under the action of a pulsating air flow. They are based on the methods of deterministic mathematical modeling and theoretical mechanics based on the equations of motion of a material point at a variable air flow speed and the action of a pulsating air flow. Theoretical studies were carried out using the methods of mathematical analysis and modeling. The research results were processed using elements of the theory of probability and mathematical statistics using software packages; to determine the rational parameters of the process, the method of statistical experiment planning was used. A mathematical description of the motion of the grain material particles in a combined vibration-air separator under the action of a pulsating air flow of variable speed is given. The trajectories of motion of particles with different sizes are obtained. The obtained equation of motion of a particle under the influence of a pulsating air flow makes it possible to determine the dependence of the speed of movement of the material in a vibro-fluidized layer of grain material on a number of factors: the geometric parameters of the sieve-free sieve, the feed angle of the material, the initial kinematic mode of the material, the index of the kinematic mode of the sieve-free sieve, as well as the coefficient of windage of the grain. On the basis of theoretical studies, the possibility of separating particles of grain material into fractions according to aerodynamic properties with vibropneumatic loading of grain into the channel has been determined. The use of a pulsating air flow as a separating carrier, and taking into account the deflecting forces, made it possible to significantly increase the splitting of the trajectories and the criterion for dividing the grain into fractions.

scholarly journals MATHEMATICAL MODELING OF THE AIR FLOW INSIDE THE ATMOSPHERIC BOUNDARY LAYER

2010 ◽  
Vol XIX (IX), 2010/3 (3) ◽  
Author(s):  
DEGERATU Mircea ◽  
Liviu HAÅžEGAN ◽  
Nicolae Ioan ALBOIU ◽  
Georgeta BANDOC
Keyword(s):  
Mathematical Modeling ◽  
Boundary Layer ◽  
Atmospheric Boundary Layer ◽  
Air Flow

scholarly journals Mathematical modeling of ferrous sulfate oxidation in presence of air

2018 ◽  
Vol 210 ◽  
pp. 04043
Author(s):  
Juan Carlos Beltrán-Prieto ◽  
Karel Kolomazník
Keyword(s):  
Mathematical Modeling ◽  
Differential Equations ◽  
Ammonium Sulfate ◽  
Rate Constants ◽  
Ferrous Sulfate ◽  
Sulfate Solution ◽  
Experimental Results ◽  
Sulfate Salt ◽  
Ferric Ammonium ◽  
Gas Washing

In the present paper we studied the oxidation of ferrous sulfate salt with oxygen. ferric ammonium sulfate and ferrous sulfate were used to prepare standard solutions of Fe(III) and Fe(II) solutions. Oxidation experiments were carried out by mixing FeSO4·7 H2O in H2O. Air was supplied using a gas washing bottle in which air entered the bottle through the center tube, and exited into the bottom of the bottle. Samples were taken periodically and analyzed in the UV-Vis spectrophotometer. We consider that basic Fe(III) sulfate was one of the main compounds produced during the reaction and proposed a model to describe the process. We found solution to the differential equations that described the profile of FeSO4 and FwOHSO4 concentration in time and observed agreement between the experimental results and data predicted by the model. Moreover, we determined values of rate constants using the model and confirmed the determined values by means of experiments. This suggests that basic ferric sulfate was generated after aeration of ferrous sulfate solution.

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