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Investigation of the Convection Term Discretization Schemes for a Force-Generated Ring-Vortex

Published online by Cambridge University Press:  17 October 2012

N. M. Nouri ,
S. Yekani Motlagh ,
M. Navidbakhsh  and
E. Yasari
N. M. Nouri*
Affiliation:
Department of Mechanical Engineering, Iran University of Science and Technology, Tehran 16844, Iran
S. Yekani Motlagh
Affiliation:
Department of Mechanical Engineering, Iran University of Science and Technology, Tehran 16844, Iran
M. Navidbakhsh
Affiliation:
Department of Mechanical Engineering, Iran University of Science and Technology, Tehran 16844, Iran
E. Yasari
Affiliation:
Department of Mechanical Engineering, Iran University of Science and Technology, Tehran 16844, Iran
*
* Corresponding author ([email protected])
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Abstract

In this paper, a model has been presented for generating a special ring vortex by applying a nonconservative force with specific distribution through the Navier-Stokes equations. Moreover, the ring's vortical pattern has been compared with the analytical and experimental results. In continuation, the diffusion, dissipation, and dispersion errors of four basic convection term interpolation schemes for the velocity and vorticity field of the vortex ring have been investigated. The simulations are performed for both the small and large time steps. Next, an appropriate discretization scheme for the convection term, and a proper order of time steps for simulating flows that contain ring vortices have been proposed. Finally, the ring vortexes generated by non-conservative force are added to the turbulent channel flow as a bubble induced vortex on carrier flow in two-phase flows, and the drag reduction due to the interaction between ring vortexes and flow vorticity field is observed.

Keywords

Ring vortexNon-conservative forceInterpolation schemesNumerical diffusionBubble drag reduction
Type
Technical Note
Information
Journal of Mechanics , Volume 28 , Issue 4 , December 2012 , pp. N13 - N21
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2012

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