Loading...
Search for:
chebyshev-expansion
0.01 seconds
A Chebyshev approximation for solving nonlinear integral equations of hammerstein type
, Article Applied Mathematics and Computation ; Volume 189, Issue 1 , 2007 , Pages 641-646 ; 00963003 (ISSN) ; Fattahzadeh, F ; Golpar Raboky, E ; Sharif University of Technology
2007
Abstract
A numerical method for solving Fredholm-Volterra Hammerstein integral equations is presented. This method is based on replacement of the unknown function by truncated series of well known Chebyshev expansion of functions.The quadrature formula which we use to calculate integral terms can be estimated by Fast Fourier Transform (FFT). The numerical examples and the number of operations show the advantages of this method to some other usual methods. © 2006 Elsevier Inc. All rights reserved
Non-linear stress response of non-gap-spanning magnetic chains suspended in a newtonian fluid under oscillatory shear test: a direct numerical simulation
, Article Physics of Fluids ; Volume 29, Issue 10 , 2017 ; 10706631 (ISSN) ; Taghizadeh Manzari, M ; Fatehi, R ; Sharif University of Technology
Abstract
Adirect numerical simulation approach is used to investigate the effective non-linear viscoelastic stress response of non-gap-spanning magnetic chains suspended in a Newtonian fluid. The suspension is confined in a channel and the suspended clusters are formed under the influence of a constant external magnetic field. Large amplitude oscillatory shear (LAOS) tests are conducted to study the non-linear rheology of the system. The effect of inertia on the intensity of non-linearities is discussed for both magnetic and non-magnetic cases. By conducting magnetic sweep tests, the intensity and quality of the non-linear stress response are studied as a function of the strength of the external...