International Journal of Dynamics of Fluids
ISSN 0973-1784 Volume 3, Number 1 (2007), pp. 95–105
© Research India Publications
http://www.ripublication.com/ijdf.htm
Mechanism of Vorticity Generation for the Near Wall
Fluid Flow Problems
Masood Ebrahimi
2
and N.M. Nouri
2
1
Iran University of Science and Technology, Tehran, Iran
Islamic Azad University, Sanandaj branch, Pasdarn Boulevard,
Sanandaj City, Kurdistan, Iran
E-mail: masood@mecheng.iust.ac.ir
2
Iran University of Science and Technology, Tehran, Iran
E-mail: mnouri@iust.ac.ir
Abstract
In the present research, a model of vortex generation based on the viscous
effect of fluid flow and the continuity of vorticity in the vicinity of wall has
been introduced. Vorticity generates as the fluid adheres to solid boundaries
and as a result, the wall skin friction plays the role of an external force acting
on a thin layer of fluid attaching to the wall. This force has been treated as a
body force in momentum equation and has been considered as the major
reason of vorticity generation. A very thin contact layer of fluid close to the
wall has been discretized to some contact elements; while to satisfy the
external wall friction acting on the contact elements, each of elements has
been broken to some vortex points. Inside the contact elements, vortex points
move randomly and finally are released into the free stream, or find
themselves out of fluid region. This method has been employed to solve an
incompressible Newtonian fluid flow over a 2-dimensional flat plate. No-slip
condition has been satisfied, and skin friction coefficient on the wall for a
wide range of Reynolds Numbers has been compared with the Blasius
solution. The rotational region of flow has also been compared with the
Blasius boundary layer. The results have a good agreement with Blasius
solution. The principal advantages of this method are that no empirical data is
used, and the proposed method of vortex generation can be appropriate in
some applications that local velocity and skin friction near the wall is vital.
Introduction
Many of researchers have used vortex methods to study different types of fluid flow
problems. A.J. Chorin [1] presented the Random Vortex Method (RVM) for solving