Complex Variable Methods

2018 ◽  
pp. 335-346
Author(s):  
Christian Constanda
Keyword(s):  
Complex Variable ◽  
Complex Variable Methods

Fatigue sensitivity analysis using complex variable methods

2012 ◽  
Vol 40 ◽  
pp. 61-73 ◽  
Author(s):  
A. Voorhees ◽  
H. Millwater ◽  
R. Bagley ◽  
P. Golden
Keyword(s):  
Sensitivity Analysis ◽  
Complex Variable ◽  
Complex Variable Methods ◽  
Fatigue Sensitivity

Potential flow over a submerged rectangular obstacle: Consequences for initiation of boulder motion

2019 ◽  
Vol 31 (4) ◽  
pp. 646-681 ◽  
Author(s):  
J. G. HERTERICH ◽  
F. DIAS
Keyword(s):  
Fluid Flow ◽  
Complex Variable ◽  
Potential Flow ◽  
Two Dimensional ◽  
Wake Region ◽  
Local Flow ◽  
Slowing Down ◽  
Complex Variable Methods ◽  
Drag And Lift ◽  
Rectangular Obstacle

AbstractSteady two-dimensional fluid flow over an obstacle is solved using complex variable methods. We consider the cases of rectangular obstacles, such as large boulders, submerged in a potential flow. These may arise in geophysics, marine and civil engineering. Our models are applicable to initiation of motion that may result in subsequent transport. The local flow depends on the obstacle shape, slowing down in confining corners and speeding up in expanding corners. The flow generates hydrodynamic forces, drag and lift, and their associated moments, which differ around each face. Our model replaces the need for ill-defined drag and lift coefficients with geometry-dependent functions. We predict smaller flow velocities to initiate motion. We show how a joint-bound boulder can be transported against gravity, and analyse the influence of a wake region behind an isolated boulder.

scholarly journals S-plane analysis for the fundamental problems of a stretched infinite plate weakened by curvilinear holes

2004 ◽  
Vol 2004 (24) ◽  
pp. 1255-1265
Author(s):  
I. S. Ismail
Keyword(s):  
Half Plane ◽  
Complex Variable ◽  
Infinite Plate ◽  
Complex Variable Methods ◽  
Plane Analysis ◽  
Special Cases ◽  
Different Shapes ◽  
The Right ◽  
Curvilinear Holes

Complex variable methods are used to obtain exact and closed expressions for Goursat's functions for the stretched infinite plate weakened by two inner holes which are free from stresses. The plate considered is conformally mapped on the area of the right half-plane. Previous work is considered as special cases of this work. Cases of different shapes of holes are included. Also, many new cases are discussed using this mapping.

Complex Variable Methods in Science and Technology

1967 ◽  
Vol 51 (377) ◽  
pp. 273
Author(s):  
J. W. Searl ◽  
J. Cunningham
Keyword(s):  
Complex Variable ◽  
Science And Technology ◽  
Complex Variable Methods

Complex variable methods for linearized Euler rigid body rotation equations

2020 ◽  
Vol 170 ◽  
pp. 454-465 ◽  
Author(s):  
Adrián García-Gutiérrez ◽  
Javier Cubas ◽  
Huan Chen ◽  
Ángel Sanz-Andrés
Keyword(s):  
Rigid Body ◽  
Complex Variable ◽  
Body Rotation ◽  
Rigid Body Rotation ◽  
Complex Variable Methods
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