Design and Analysis of the Multi-Microchannel Aerostatic Restrictor

2012 ◽  
Vol 472-475 ◽  
pp. 2377-2384
Author(s):  
Yu Bing Zhang ◽  
Wen Zhang ◽  
Dong Sheng Li
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Film Thickness ◽  
Theoretical Calculations ◽  
Measuring Method ◽  
Thickness Measurement ◽  
Error Sources ◽  
Air Film ◽  
Film Thickness Measurement ◽  
The Mathematical Model

Restrictors are one of core parts in aerostatic systems. A special multi-microchannel aerostatic restrictor is designed and developed, and the air film thickness is measured by the capacitive measuring method. The mathematical model of capacitance and air film thickness is carried out, capacitances of specific air film thickness are calculated, air film thickness of the multi-microchannel aerostatic restrictor with the overall diameter is measured, and error sources processed and analyzed. Results illustrate that errors between the theoretical calculations and the experimental data are less than 13%, this proves the correctness of the mathematical model as well as the effectiveness of the capacitive measuring method applying for the air film thickness measurement of the aerostatic systems.

Nanoscale film thickness measurement based on weak measurement

2020 ◽  
Vol 91 (12) ◽  
pp. 123111
Author(s):  
Zirui Qin ◽  
Qinggang Liu ◽  
Chong Yue ◽  
Yaopu Lang ◽  
Xinglin Zhou
Keyword(s):  
Film Thickness ◽  
Thickness Measurement ◽  
Weak Measurement ◽  
Film Thickness Measurement

Application of a Bubble-Induced Turbulence Model to Subcooled Boiling in a Vertical Pipe

1999 ◽  
Author(s):  
Mahmut D. Mat ◽  
Yüksel Kaplan ◽  
Olusegun J. Ilegbusi
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Liquid Phase ◽  
Turbulence Model ◽  
Transport Equations ◽  
Subcooled Boiling ◽  
Vertical Pipe ◽  
Void Fractions ◽  
Turbulence Production ◽  
The Mathematical Model

Abstract Subcooled boiling of water in a vertical pipe is numerically investigated. The mathematical model involves solution of transport equations for vapor and liquid phase separately. Turbulence model considers the turbulence production and dissipation by the motion of the bubbles. The radial and axial void fractions, temperature and velocity profiles in the pipe are calculated. The estimated results are compared to experimental data available in the literature. It is found that while present study satisfactorily agrees with experimental data in the literature, it improves the prediction at lower void fractions.

Analytical Study of Hydro-Pneumatic Processes for Gorlov's Power System

1994 ◽  
Vol 208 (1) ◽  
pp. 67-70
Author(s):  
A I Ryazanov
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Power System ◽  
Analytical Study ◽  
Model Tests ◽  
Air Pressure ◽  
Pneumatic Power ◽  
Time Required ◽  
The Mathematical Model

This paper describes the aerohydrodvnamics of processes in chambers of Gorlov's hydro-pneumatic power system. The mathematical model is developed to determine the main parameters of the processes: water and air velocities, air pressure in the chamber, the periods of time required to fill and empty the chambers and the output of energy during the cycle. The results obtained are in agreement with experimental data and model tests.

scholarly journals MATHEMATICAL MODELING OF LEACHING PROCESS OF RED MUD IN ORDER TO OBTAIN THE KINETICS PARAMETERS

2015 ◽  
Vol 14 (2) ◽  
pp. 90 ◽  
Author(s):  
K. L. M. Dos Passos ◽  
B. M. Viegas ◽  
E. N. Macêdo ◽  
J. A. S. Souza ◽  
E. M. Magalhães
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Red Mud ◽  
Mineralogical Composition ◽  
Raw Material ◽  
Data Conversion ◽  
Kinetics Parameters ◽  
Leaching Process ◽  
Iron Leaching ◽  
The Mathematical Model

The use of the waste of the Bayer process, red mud, is due to its chemical and mineralogical composition that shows a material rich in oxides of iron, titanium and aluminum. Some studies conducted show that this waste can be applied as a source of alternative raw material for concentration and subsequent recovery of titanium compounds from an iron leaching process, which is present in higher amounts, about 30% by weight. To obtain a greater understanding about the leaching kinetics, the information of the kinetic data of this process is very important. In this context, the main objective of this work is the development of a mathematical model that is able to fit the experimental data (conversion / extraction iron, titanium and aluminum) of the leaching process by which is possible to obtain the main kinetic parameters such as the activation energy and the velocity of chemical reactions as well as the controlling step of the process. The development of the mathematical model was based on the model of core decreasing. The obtained model system of ordinary differential equations was able to fit the experimental data obtained from the leaching process, enabling the determination of the controlling step, the rate constants and the activation energies of the leaching process.

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