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Abbreviations, a , velocity of sound;
ρ
, density; Pk,
represents the generation of turbulent kinetic energy due to the
velocity gradient; Gk , is the generation of turbulent kinetic energy
due to foating forces; µ
t
, is the turbulent viscosity; C
1ε
y C
2ε
,
constants; σ
k
, σ
ε
, are the turbulent prandtl numbers for the k-epsilon
equations respectively; Y
M
, represents the contribution of fuctuations
of the expansion in the compressible turbulence; ρ , is the density;
h
S , are the source terms which include contributions due only to the
forces of the body; M
t
, turbulent mach number;
ij
Ω , is the rotation
tensor seen from the reference point of the angular velocity (
κ
w )
Introduction
Cyclonic separators are currently widely applied and accepted at
industrial level due to their simplicity of construction, low operating
costs, the absence of moving parts, low energy requirements
1
and to
be adaptable to A wide range of operation, its use covers industries
such as cement, wood, chemical, oil and food.
However, these separation devices could optimize the cost-beneft
ratio by manipulating their performance parameters, thus improving
the technical conditions required in their design and subsequent
manufacture, which can be achieved with a Good understanding
of the dynamics of fow within. Despite its apparent simplicity, the
dynamics of fow in a cyclone is complex,
2
it includes features such
as velocities, pressures, vorticity and in some cases the presence of
several annular areas of reverse fow, for which the confned vortex
fow theories do not predict satisfactorily observed phenomena.
3
On
the other hand, the problem associated with the detailed mathematical
modeling of the fow profles involves the solution of strongly
coupled nonlinear partial differential equations - momentum and mass
conservation, whose complete analytical solution is not yet known,
however, Solve with a discretization method if an appropriate tool is
available for the numerical solution. Computational Fluid Dynamics
(CFD) simulation models provide an economical means to understand
the complex fow dynamics within these equipment and how they are
affected by changes in the original design or operating conditions,
4
These calculations can be used over a wide range of fows, reducing
the need for experimental tests, allowing predictions to be made in the
design process and in the evaluation of industrial processes, reducing
factors such as costs, risks and time,
5
Thus providing a basis for
decision making leading to the design of better performing systems.
The solution methodology for CFD models is to subdivide the
domain into a large number of control volumes and convert the partial
differential equations by integration on these control volumes into
their algebraic equivalents.
6
The result is a set of simultaneous algebraic equations that can
be solved using iterative methods to obtain the feld of dependent
variable distributions relative to boundary conditions that defne the
specifc problem, such as velocities and pressures.
This work simulates and evaluates the operation of one of these
proposed geometries with the help of FLUENT
®
specialized software,
which solves systems of partial differential equations using the
discretization method of fnite volumes, and allows to observe the
behavior of the gas in the Cyclone interior, when comparing the gas
phase tangential velocity profles of a cyclone with geometry and fow
conditions given by
7
and compare these results with experimental
data.
Numerical analysis
The equations applied for the numerical analysis in this study
are the mass conservation and Navier-Stokes averaged Reynolds
equations (RANS), to solve these equations the CFD code for the
solution of the computational model was used.
The mass conservation and Navier-Stokes averaged Reynolds
(RANS) equations in three dimensions are solved under the following
assumptions, steady-state, Newtonian fuid, turbulent, incompressible,
and three-dimensional fow.
Int J Petrochem Sci Eng. 2017;2(2):66‒72 66
© 2017 Pankowski et al. This is an open access article distributed under the terms of the Creative Commons Attribution License,
which permits unrestricted use, distribution, and build upon your work non-commercially.
Application of computational fuid dynamics to study
the infuence of turbulence models in the behavior
of the cyclonic separators
Volume 2 Issue 2 - 2017
Héctor Zambrano Meza, Linda Margarita
Medina
Department of Physics and Mathematics, Monterrey Institute of
Technology and Higher Education, México
Correspondence: Héctor Zambrano Meza, Department of
Physics and Mathematics, Monterrey Institute of Technology and
Higher Education, México,
Email hectorj.zambranom@gmail.com
Received: March 01, 2017 | Published: March 22, 2017
Abstract
This paper applies computational fluid dynamics to study the influence of turbulence
models in the behavior of cyclonic separators, we used different turbulence models
to model the behavior of single phase air into the cyclone separator, between them,
Standard k-epsilon, RNG k-epsilon, Realizable k-epsilon and Spalart Allamara model,
employment numerically with FLUENT
®
code in its version 6.3, using the finite
volume method, we compared the tangential velocity profiles obtained numerically
with experimental data, the finite volume method applied to fluid dynamics problems
is a useful and important tool for the conceptualization of the phenomenon to be
studied, establishing a relationship between the approximation schemes used and the
physical effects involved in transport phenomena analyze.
Keywords, cyclones, computational fluid dynamics, turbulence
International Journal of Petrochemical Science & Engineering
Research Article
Open Access