Asymptotic Far Field Conditions for Unsteady Subsonic and Transonic Flows.

1983 ◽  
Author(s):  
Karl G. Guderley
Keyword(s):  
Field Conditions ◽  
Far Field ◽  
Transonic Flows

scholarly journals Mullins–Sekerka stability analysis for melting-freezing waves in helium

1994 ◽  
Vol 5 (1) ◽  
pp. 21-37
Author(s):  
Joseph D. Fehribach
Keyword(s):  
Surface Tension ◽  
Growth Rate ◽  
Stability Analysis ◽  
Original Problem ◽  
The Other ◽  
Field Conditions ◽  
System Of Equations ◽  
Far Field ◽  
Other Hand ◽  
The Stability

This paper considers the stability of melt-solid interfaces to eigenfunction perturbations for a system of equations which describe the melting and freezing of helium. The analysis is carried out in both planar and spherical geometries. The principal results are that when the melt is freezing, under certain far-field conditions, the interface is stable in the sense of Mullins and Sekerka. On the other hand, when the solid is melting (at least when the melting is sufficiently fast), the interface is unstable. In some circumstances these instabilities are oscillatory, with amplitude and growth rate increasing with surface tension and frequency. The last section considers the original problem of Mullins and Sekerka in the present notation.

Prediction of Structure-Borne Sound in Orthotropic Plates for Far-Field Conditions

2002 ◽  
Vol 8 (1) ◽  
pp. 3-12 ◽  
Author(s):  
Nirmal Kumar Mandal ◽  
M. Salman Leong ◽  
R. Abd. Rahman
Keyword(s):  
Power Flow ◽  
Power Transmission ◽  
Field Conditions ◽  
Finite Difference Approximation ◽  
Wave Number ◽  
Total Power ◽  
Difference Approximation ◽  
Far Field ◽  
Orthotropic Plates ◽  
Structural Intensity

Structural intensity method is used to formulate vibration power flow model in naturally orthotropic plates in the frequency domain for far-field conditions considering bending waves. Dimensionless parameters are used in classical orthotropic plate equations to get this power. Techniques of Fourier transform and finite difference approximation are used in the formulation. Shear force components of vibration power transmission in x-direction and y-direction are obtained separately. Total power is obtained from the idea of far-field conditions. Cross-spectral density functions of field signal are used to facilitate the estimation of power transmission. Structural intensity is formulated, which is similar to that of the conventional two-transducer method. A transducer array of two points is required to get an intensity vector in one direction of a point in the plates. A new bending wave number and a modified Laplace operator are also proposed.

Sign in / Sign up

Export Citation Format

Share Document