A numerical investigation of the stability of Saturn's triangular Lagrange points

1988 ◽  
Vol 96 ◽  
pp. 1983 ◽  
Author(s):  
S.-P. Zhang ◽  
K. A. Innanen
Keyword(s):  
Numerical Investigation ◽  
Lagrange Points ◽  
The Stability

Numerical Investigation of the Solidity Effect on Linear Compressor Cascades

2014 ◽  
Author(s):  
J. Sans ◽  
M. Resmini ◽  
J.-F. Brouckaert ◽  
S. Hiernaux
Keyword(s):  
Numerical Investigation ◽  
State Of The Art ◽  
Leading Edge ◽  
Operating Conditions ◽  
Compressor Cascade ◽  
Minimum Loss ◽  
Low Speed ◽  
High Mach ◽  
The Stability ◽  
The Impact

Solidity in compressors is defined as the ratio of the aerodynamic chord over the peripheral distance between two adjacent blades, the pitch. This parameter is simply the inverse of the pitch-to-chord ratio generally used in turbines. Solidity must be selected at the earliest design phase, i.e. at the level of the meridional design and represents a crucial step in the whole design process. Most of the existing studies on this topic rely on low-speed compressor cascade correlations from Carter or Lieblein. The aim of this work is to update those correlations for state-of-the-art controlled diffusion blades, and extend their application to high Mach number flow regimes more typical of modern compressors. Another objective is also to improve the physical understanding of the solidity effect on compressor performance and stability. A numerical investigation has been performed using the commercial software FINE/Turbo. Two different blade profiles were selected and investigated in the compressible flow regime as an extension to the low-speed data on which the correlations are based. The first cascade uses a standard double circular arc profile, extensively referenced in the literature, while the second configuration uses a state-of-the-art CDB, representative of low pressure compressor stator mid-span profile. Both profiles have been designed with the same inlet and outlet metal angles and the same maximum thickness but the camber and thickness distributions, the stagger angle and the leading edge geometry of the CDB have been optimized. The determination of minimum loss, optimum incidence and deviation is addressed and compared with existing correlations for both configurations and various Mach numbers that have been selected in order to match typical booster stall and choke operating conditions. The emphasis is set on the minimum loss performance at mid-span. The impact of the solidity on the operating range and the stability of the cascade are also studied.

Numerical investigation of the stability of bubble train flow in a square minichannel

2009 ◽  
Vol 21 (4) ◽  
pp. 042108 ◽  
Author(s):  
Murat C. Öztaskin ◽  
Martin Wörner ◽  
Hakan S. Soyhan
Keyword(s):  
Numerical Investigation ◽  
The Stability

scholarly journals The Stability of the Planetary Triangular Lagrange Points

1990 ◽  
Vol 123 ◽  
pp. 533-536
Author(s):  
Seppo Mikkola ◽  
K.A. Innanen
Keyword(s):  
Solar System ◽  
Progress Report ◽  
Scientific Applications ◽  
Medium Term ◽  
Lagrange Points ◽  
The Earth ◽  
Self Consistent ◽  
The Stability

AbstractNumerical, self-consistent, n-body integrations of the solar system show significant indications of medium-term (i.e. several million-year) stability for the various planet-Sun L4,L5 configurations. A progress report of our computations, emphasizing the inner solar system, will be given. There exist interesting possibilities for these locations (including the Earth) as the sites for longer term scientific applications, both pure and applied.

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