Variational solutions of a first-order perturbation equation

1982 ◽  
Vol 21 (3) ◽  
pp. 611-616
Author(s):  
Hidekazu Hamano
Keyword(s):  
Order Perturbation ◽  
Perturbation Equation ◽  
First Order ◽  
Variational Solutions ◽  
First Order Perturbation

scholarly journals Perturbation Solution for Four-Stream Infrared Radiative Transfer

2020 ◽  
Vol 77 (4) ◽  
pp. 1497-1507
Author(s):  
Jiangnan Li ◽  
Howard W. Barker
Keyword(s):  
Radiative Transfer ◽  
Perturbation Method ◽  
Zero Order ◽  
Perturbation Solution ◽  
Order Perturbation ◽  
Dual Wavelength ◽  
Perturbation Equation ◽  
First Order ◽  
Using Data ◽  
First Order Perturbation

Abstract A four-stream solution of the longwave radiative transfer is proposed. It is based on the exact perturbation method utilizing the absorption approximation equation as the zero-order solution. Scattering is handled by the first-order perturbation equation. The two- and four-stream approximations are compared both offline and using data from CALIPSO’s dual-wavelength lidar.

Note on Interference Effects in Two-Step Reaction Processes

1975 ◽  
Vol 53 (23) ◽  
pp. 2590-2592
Author(s):  
J. Cejpek ◽  
J. Dobeš
Keyword(s):  
Perturbation Theory ◽  
Point Of View ◽  
Order Perturbation ◽  
Interference Effects ◽  
Qualitative Explanation ◽  
First Order ◽  
One Step ◽  
Step Transition ◽  
Reaction Processes ◽  
First Order Perturbation

The reaction processes in which a one-step transition is forbidden are analyzed from the point of view of the first order perturbation theory. The interference between two competing two-step reaction paths is found to be always constructive. A qualitative explanation of the experimentally observed reaction intensities is presented.

Analysis of Pneumatic Instability of Externally Pressurized Porous Gas Journal Bearings

1979 ◽  
Vol 101 (1) ◽  
pp. 48-53 ◽  
Author(s):  
N. S. Rao ◽  
B. C. Majumdar
Keyword(s):  
Theoretical Analysis ◽  
Mass Parameter ◽  
Journal Bearings ◽  
Order Perturbation ◽  
Rigid Rotor ◽  
Eccentricity Ratio ◽  
Dynamic Displacement ◽  
First Order ◽  
Supply Pressure ◽  
First Order Perturbation

A theoretical analysis is presented for the study of pneumatic instability for a rigid rotor supported in externally pressurized porous gas journal bearings. The analysis is based on a first-order perturbation with respect to the amplitude of dynamic displacement of rotor. The variation of threshold mass parameter with feeding parameter is shown. In addition, the effects of supply pressure, eccentricity ratio, L/D ratio, and porosity parameter are investigated and presented in the form of graphs.

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