A second-order moment method applied to gas-solid risers

AIChE Journal ◽  
2012 ◽  
Vol 58 (12) ◽  
pp. 3653-3675 ◽  
Author(s):  
Juhui Chen ◽  
Shuyan Wang ◽  
Dan Sun ◽  
Huilin Lu ◽  
Dimitri Gidaspow ◽  
...  
Keyword(s):  
Moment Method ◽  
Second Order ◽  
Order Moment

Screw Relibility Design Based on the Linear Second Order Moment Method

2011 ◽  
Vol 199-200 ◽  
pp. 609-612
Author(s):  
Quan Yu Yu ◽  
Cheng Zhu ◽  
Zi Wen Wang
Keyword(s):  
Moment Method ◽  
Design Principle ◽  
Second Order ◽  
Reliability Coefficient ◽  
Order Moment ◽  
Screw Design ◽  
Standard Deviations

Because lacking of enough data to define distributions of stress and strength of machine components,it is difficult tocalculate the reliability of the component by aid of numerical integra- tion. This paper explains that, if we knew means and standard deviations of the stress and strength, we can work out reliability coefficient (β), and illustrate the design principle of linear second order moment method by means of the screw design example.

Simulations of flow behavior of gas and particles in a spouted bed using a second-order moment method-frictional stresses model

2010 ◽  
Vol 65 (9) ◽  
pp. 2635-2648 ◽  
Author(s):  
Sun Dan ◽  
Wang Shuyan ◽  
Liu Gougdong ◽  
Wang Shuai ◽  
Liu Yongjian ◽  
...  
Keyword(s):  
Moment Method ◽  
Flow Behavior ◽  
Second Order ◽  
Order Moment ◽  
Spouted Bed

A second-order moment method of dense gas–solid flow for bubbling fluidization

2009 ◽  
Vol 64 (23) ◽  
pp. 5013-5027 ◽  
Author(s):  
Sun Dan ◽  
Wang Shuyan ◽  
Lu Huilin ◽  
Shen Zhiheng ◽  
Li Xiang ◽  
...  
Keyword(s):  
Moment Method ◽  
Second Order ◽  
Order Moment ◽  
Dense Gas ◽  
Solid Flow

Evaluation of fluctuating anisotropy of particles in CFB combustor using second-order moment method

Fuel ◽  
2016 ◽  
Vol 182 ◽  
pp. 897-906 ◽  
Author(s):  
Juhui Chen ◽  
Weijie Yin ◽  
Shuai Wang ◽  
Cheng Meng ◽  
Jiuru Li ◽  
...  
Keyword(s):  
Moment Method ◽  
Second Order ◽  
Order Moment

Numerical simulation of gas-particle flow with a second-order moment method in bubbling fluidized beds

2010 ◽  
Vol 199 (3) ◽  
pp. 213-225 ◽  
Author(s):  
Sun Dan ◽  
Wang Jianzhi ◽  
Lu Huilin ◽  
Zhao Yunhua ◽  
Chen Juhui ◽  
...  
Keyword(s):  
Numerical Simulation ◽  
Moment Method ◽  
Fluidized Beds ◽  
Second Order ◽  
Particle Flow ◽  
Order Moment

scholarly journals Method for Measuring the Second-Order Moment of Atmospheric Turbulence

Atmosphere ◽  
2021 ◽  
Vol 12 (5) ◽  
pp. 564
Author(s):  
Hong Shen ◽  
Longkun Yu ◽  
Xu Jing ◽  
Fengfu Tan
Keyword(s):  
Atmospheric Turbulence ◽  
Weighting Function ◽  
Structure Constant ◽  
Turbulence Models ◽  
Second Order ◽  
Index Structure ◽  
Order Moment ◽  
Site Testing ◽  
Optical Effects ◽  
Novel Method

The turbulence moment of order m (μm) is defined as the refractive index structure constant Cn2 integrated over the whole path z with path-weighting function zm. Optical effects of atmospheric turbulence are directly related to turbulence moments. To evaluate the optical effects of atmospheric turbulence, it is necessary to measure the turbulence moment. It is well known that zero-order moments of turbulence (μ0) and five-thirds-order moments of turbulence (μ5/3), which correspond to the seeing and the isoplanatic angles, respectively, have been monitored as routine parameters in astronomical site testing. However, the direct measurement of second-order moments of turbulence (μ2) of the whole layer atmosphere has not been reported. Using a star as the light source, it has been found that μ2 can be measured through the covariance of the irradiance in two receiver apertures with suitable aperture size and aperture separation. Numerical results show that the theoretical error of this novel method is negligible in all the typical turbulence models. This method enabled us to monitor μ2 as a routine parameter in astronomical site testing, which is helpful to understand the characteristics of atmospheric turbulence better combined with μ0 and μ5/3.

Shape Interpretation of Second-Order Moment Invariants

2016 ◽  
Vol 56 (1) ◽  
pp. 125-136 ◽  
Author(s):  
Joviša Žunić ◽  
Dragiša Žunić
Keyword(s):  
Second Order ◽  
Order Moment ◽  
Moment Invariants

scholarly journals Distributionally robust joint chance constraints with second-order moment information

2011 ◽  
Vol 137 (1-2) ◽  
pp. 167-198 ◽  
Author(s):  
Steve Zymler ◽  
Daniel Kuhn ◽  
Berç Rustem
Keyword(s):  
Chance Constraints ◽  
Second Order ◽  
Order Moment ◽  
Distributionally Robust
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