Numerical solution of the integral equation of the second kind by using wavelet bases of Hermite cubic splines

2006 ◽  
Vol 183 (1) ◽  
pp. 134-141 ◽  
Author(s):  
K. Maleknejad ◽  
M. Yousefi
Keyword(s):  
Integral Equation ◽  
Numerical Solution ◽  
Cubic Splines ◽  
Wavelet Bases ◽  
Hermite Cubic Splines

Rods falling near a vertical wall

1977 ◽  
Vol 83 (2) ◽  
pp. 273-287 ◽  
Author(s):  
W. B. Russel ◽  
E. J. Hinch ◽  
L. G. Leal ◽  
G. Tieffenbruck
Keyword(s):  
Integral Equation ◽  
Viscous Fluid ◽  
Numerical Solution ◽  
Vertical Wall ◽  
Numerical Results ◽  
Slender Body ◽  
Asymptotic Results ◽  
Slender Body Theory ◽  
Friction Coefficients ◽  
Body Theory

As an inclined rod sediments in an unbounded viscous fluid it will drift horizontally but will not rotate. When it approaches a vertical wall, the rod rotates and so turns away from the wall. Illustrative experiments and a slender-body theory of this phenomenon are presented. In an incidental study the friction coefficients for an isolated rod are found by numerical solution of the slender-body integral equation. These friction coefficients are compared with the asymptotic results of Batchelor (1970) and the numerical results of Youngren ' Acrivos (1975), who did not make a slender-body approximation.

Sign in / Sign up

Export Citation Format

Share Document