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Mathematical Problems in Engineering
Volume 2017, Article ID 9849608, 11 pages
Research Article

Influence of Geometry and Velocity of Rotating Solids on Hydrodynamics of a Confined Volume

1Instituto Politécnico Nacional, ESIME, UPALM, 07738 Mexico City, Mexico
2Universidad Autónoma Metropolitana, San Pablo 180, Reynosa Tamaulipas, 2200 Mexico City, Mexico

Correspondence should be addressed to Cesar A. Real-Ramírez; xm.mau.cza.oerroc@rrac

Received 19 May 2017; Revised 12 September 2017; Accepted 11 October 2017; Published 9 November 2017

Academic Editor: Anna Vila

Copyright © 2017 Ignacio Carvajal-Mariscal et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Three cylinder-based geometries were evaluated at five different rotating speeds ( = 20.94, 62.83, 94.25, 125.66, and 157.08 rad·s−1) to obtain the fluid flow pattern in nonsteady conditions. Two of the models were modified at the lower region, also known as tip section, by means of inverted and right truncated cone geometries, respectively. The experimental technique used a visualization cell and a Particle Imaging Velocimetry installation to obtain the vector field at the central plane of the volume. The Line Integral Convolution Method was used to obtain the fluid motion at the plane. In addition, the scalar kinetic energy and the time series were calculated to perform the normal probability plot. This procedure was used to determine the nonlinear fluid flow pattern. It was also used to identify two different flow regimens in physical and numerical results. As the rotation speed increased, the turbulent regions were placed together and moved. The process makes experimental observation difficult. The biphasic and turbulence constitutive equations were solved with the Computational Fluid Dynamics technique. Numerical results were compared with physical experiments for validation. The model with the inverted truncated cone tip presented better stability in the fluid flow pattern along the rotation speed range.