Flow Measurement and Instrumentation 21 (2010) 292–298
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Flow Measurement and Instrumentation
journal homepage: www.elsevier.com/locate/flowmeasinst
Experimental and numerical simulation of flow in a 90° bend
M. Naji Abhari
a
, M. Ghodsian
a,b,∗
, M. Vaghefi
c
, N. Panahpur
a
a
Civil Engineering Department, Tarbiat Modares University, Tehran, Iran
b
Water Engineering Research Institute, Tarbiat Modares University, Tehran, Iran
c
Hydraulic Structures, Persian Gulf University, Bushehr, Iran
article info
Article history:
Received 25 July 2009
Received in revised form
1 March 2010
Accepted 8 March 2010
Keywords:
Flow pattern
90° bend
Numerical model
Experimental model
Secondary flow
abstract
The purpose of this study is to simulate flow pattern in a 90° bend experimentally and numerically.
The numerical model used in this study is SSIIM 1.1. The k–ε model was used to predict the turbulence
and the SIMPLE method was used to compute the pressure. For verification of the results of the
numerical model the experimental data was used. The flow velocities were measured experimentally with
P-EMS velocimeter. The results of the experimental data and the numerical simulation showed that the
flow pattern in a channel bend is influenced widely by the secondary flow and centrifugal force. The
comparison between the experimental data and the numerical model showed that SSIIM-1.1 is capable to
simulate accurately the flow pattern in a 90° bend. The variations of components of velocity, streamlines,
bed shear velocity and secondary flow are addressed in the study.
© 2010 Elsevier Ltd. All rights reserved.
1. Introduction
In a river bend the presence of centrifugal force leads to the
formation of secondary flow. As a result water particles near
the surface are driven outward. The secondary flow advects the
main flow, leading to high velocity at the outer bank of the bend.
On the other hand the flow at the bed of a channel is directed
toward the inner bank. The interaction of the main flow with
the secondary flow forms the so-called helical flow in the bend.
This flow system has important consequences in the longitudinal,
transverse, vertical velocity distributions, transport of momentum
and streamlines at different levels of water. Therefore knowing
the characteristics of flow pattern in a channel bend is of great
interest in river engineering. With the increase of the power of
computers over the last 20 years, it is now possible to carry out
full three-dimensional computations for such cases. Shukry [1]
experimentally studied spiral flow in the bends. Ouillon and
Darttus [2] studied flow pattern and shear stress distribution
around a groyne in a rectangular channel. Rezovskii [3] measured
the velocity profiles in a 90° bend. Demuren and Rodi [4] used a
three-dimensional model where the turbulence was predicted by
the k–ε model to calculate the flow and transport of a neutral tracer
in a meandering channel. Leschziner and Rodi [5], Shimizu et al. [6]
and Ye and McCorquodale [7] have simulated flow in curved
channels. Olsen and Stokseth [8] and Sinha et al. [9] computed the
∗
Corresponding author. Tel.: +98 021 82883317; fax: +98 21 88005040.
E-mail address: ghods@modares.ac.ir (M. Ghodsian).
flow pattern in natural rivers with complex bathymetry. Studies
have been carried out by different investigators [10–19] to evaluate
flow and bed variations in meandering channels. Olsen [20]
computed the bed variations in a 90° channel bend with special
respect to steep transversal slopes.
The present study focused on the simulation of the flow pattern
in a laboratory 90° channel bend. The details of flow pattern along
the bend were studied. The variations of different components
of velocity distributions, variations of velocity along the bend,
variations of streamlines along the bend, contours of velocity along
the bend, distribution of shear velocity and strength of secondary
flow along the bend are unique features of this paper.
2. Numerical model
SSIIM is abbreviation for Sediment Simulation In Intakes
with Multiblock option. This numerical model was developed by
Olsen [21]. The SSIIM numerical model solves the Navier–Stokes
equations with the k–e model on a three-dimensional almost
general non-orthogonal grid. A control volume method is used
for the discretization, together with the power-law scheme or
the second order upwind scheme. The SIMPLE method is used
for pressure coupling. An implicit solver is used, producing
the velocity field in the geometry. The model includes several
utilities facilitating the creation of input data. There is also
an interactive graphic editor with elliptical and trans-finite
interpolation together with a discharge editor. The user interface
of the program can present velocity vectors and scalar variables
in a two-dimensional view of the three-dimensional grid, in plan
0955-5986/$ – see front matter © 2010 Elsevier Ltd. All rights reserved.
doi:10.1016/j.flowmeasinst.2010.03.002