scholarly journals A Two-Dimensional Variational Analysis Method for NSCAT Ambiguity Removal: Methodology, Sensitivity, and Tuning

2003 ◽  
Vol 20 (5) ◽  
pp. 585-605 ◽  
Author(s):  
R. N. Hoffman ◽  
S. M. Leidner ◽  
J. M. Henderson ◽  
R. Atlas ◽  
J. V. Ardizzone ◽  
...  
Keyword(s):  
Variational Analysis ◽  
Two Dimensional ◽  
Analysis Method

scholarly journals Dynamics with Cattaneo–Christov heat and mass flux theory of bioconvection Oldroyd-B nanofluid

2020 ◽  
Vol 12 (8) ◽  
pp. 168781402093046 ◽  
Author(s):  
Noor Saeed Khan ◽  
Qayyum Shah ◽  
Arif Sohail
Keyword(s):  
Mass Transfer ◽  
Porous Media ◽  
Differential Equations ◽  
Mass Flux ◽  
Homotopy Analysis Method ◽  
Two Dimensional ◽  
Analysis Method ◽  
Homotopy Analysis ◽  
Transfer Flow ◽  
Insight Into

Entropy generation in bioconvection two-dimensional steady incompressible non-Newtonian Oldroyd-B nanofluid with Cattaneo–Christov heat and mass flux theory is investigated. The Darcy–Forchheimer law is used to study heat and mass transfer flow and microorganisms motion in porous media. Using appropriate similarity variables, the partial differential equations are transformed into ordinary differential equations which are then solved by homotopy analysis method. For an insight into the problem, the effects of various parameters on different profiles are shown in different graphs.

Solitary wave solution of nonlinear Bogoyavlenskii system by variational analysis method

2021 ◽  
Author(s):  
KangLe Wang
Keyword(s):  
Solitary Wave ◽  
Variational Analysis ◽  
Solitary Wave Solution ◽  
Solitary Wave Solutions ◽  
Analysis Method ◽  
Soliton Theory ◽  
Practical Applications ◽  
The Road ◽  
Wave Solutions ◽  
First Time

In this work, the Bogoyavlenskii system (BS) and fractal BS are investigated by variational method for the first time. An efficient and simple scheme is proposed to seek their exact solitary wave solutions, which is called variational analysis method. The novel scheme requires only two steps, making it much attractive in practical applications, and a good result is obtained. This paper cleans up the road to the exact solitions, and it sheds a new light on the soliton theory. Finally, the physical properties of solitary wave solutions obtained are analyzed by some simulation figures.

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 Band Structures Analysis Method of Two-Dimensional Phononic Crystals Using Wavelet-Based Elements

Crystals ◽  
2017 ◽  
Vol 7 (11) ◽  
pp. 328 ◽  
Author(s):  
Mao Liu ◽  
Jiawei Xiang ◽  
Yongteng Zhong
Keyword(s):  
Phononic Crystals ◽  
Two Dimensional ◽  
Analysis Method ◽  
Band Structures
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