A Two-Dimensional Analysis Method on STI-Aware Layout-Dependent Stress Effect

2012 ◽  
Vol 59 (11) ◽  
pp. 2964-2972 ◽  
Author(s):  
Xiaojian Li ◽  
Zuochang Ye ◽  
Yaohua Tan ◽  
Yan Wang
Keyword(s):  
Dimensional Analysis ◽  
Stress Effect ◽  
Two Dimensional ◽  
Analysis Method ◽  
Dimensional Analysis Method

Comparison of Beam and Shell Theories for the Vibrations of Thin Turbomachinery Blades

1983 ◽  
Vol 105 (2) ◽  
pp. 383-392 ◽  
Author(s):  
A. W. Leissa ◽  
M. S. Ewing
Keyword(s):  
Shallow Shell ◽  
Shell Theory ◽  
Free Vibrations ◽  
Two Dimensional ◽  
Analysis Method ◽  
One Dimensional ◽  
Low Aspect Ratio ◽  
Turbomachinery Blades ◽  
Dimensional Analysis Method ◽  
Beam Theories

A great deal of published literature exists which analyzes the free vibrations of turbomachinery blades by means of one-dimensional beam theories. Recently, a more accurate, two-dimensional analysis method has been developed based upon shallow shell theory. The present paper summarizes the two types of theories and makes quantitative comparisons of frequencies obtained by them. Numerical results are presented for cambered and/or twisted blades of uniform thickness. Significant differences between the theories are found to occur, especially for low aspect ratio blades. The causes of these differences are discussed.

scholarly journals Dimensional Analysis of Average Diameter of Bubbles for Bottom Blown Oxygen Copper Furnace

2016 ◽  
Vol 2016 ◽  
pp. 1-8 ◽  
Author(s):  
Dongxing Wang ◽  
Yan Liu ◽  
Zimu Zhang ◽  
Pin Shao ◽  
Ting’an Zhang
Keyword(s):  
Dimensional Analysis ◽  
High Speed ◽  
Cold Water ◽  
Average Diameter ◽  
Water Model ◽  
Smelting Process ◽  
Analysis Method ◽  
Dimensional Analysis Method ◽  
Principle Of Similarity ◽  
Matte Smelting

Average diameter of bubbles is important in copper furnace. Based on the principle of similarity, a slice water model of a furnace with bottom-blown oxygen in matte-smelting process was established. A high-speed camera was used to record images continuously and clearer pictures were selected for treatment. Finally, image processing software was used for obtaining the average diameter of the bubbles. The effects of different injection conditions and equipment factors such as the diameter of nozzle, the nozzle installing angle, and gas velocity on the average diameter of bubbles were studied with cold water model experiment, exploring the dispersion and disintegration rules of bubbles. According to experimental data and Buckingham’s theorem, by using dimensional analysis method, an empirical formula on average diameter of bubbles was established (dB=0.41666d0.29374θ-0.46572v-0.16725). It can be seen from the formula that nozzle installing angle and diameter of nozzle make the most impact on the average diameter of bubbles in bottom blown oxygen copper furnace.

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