论文信息 - Homotopy perturbation method for motion of a spherical solid particle in plane couette fluid flow

Homotopy perturbation method for motion of a spherical solid particle in plane couette fluid flow

He's homotopy perturbation method is applied to obtain exact analytical solutions for the motion of a spherical particle in a plane couette flow. It is demonstrated that the applied analytical method is very straightforward in comparison with existing techniques. Furthermore, it is decidedly effectual in terms of accuracy and rapid convergence. The formulation of the problem is presented in the text as well as the analytical and numerical procedures. The current results can be used in different areas of particulate flows.

[1] Davood Domiri Ganji,et al. An analytical study on motion of a sphere rolling down an inclined plane submerged in a Newtonian fluid , 2010 .

[2] Ji-Huan He,et al. Α Review on Some New Recently Developed Nonlinear Analytical Techniques , 2000 .

[3] F Mohammadi,et al. Characteristics of deformation and electrical charging of large water drops immersed in an insulating liquid on the electrode surface. , 2010, Journal of colloid and interface science.

[4] Ji-Huan He. Homotopy Perturbation Method for Bifurcation of Nonlinear Problems , 2005 .

[5] Goodarz Ahmadi,et al. Analytical investigation on acceleration motion of a vertically falling spherical particle in incompressible Newtonian media , 2010 .

[6] Terry J. Vander Werff. Critical reynolds number for a spherical particle in plane couette flow , 1970 .

[7] Esmaeil Esmaeilzadeh,et al. An experimental study on the motion, deformation and electrical charging of water drops falling in oil in the presence of high voltage D.C. electric field , 2010 .