2016 International Conference and Exposition on Electric and Power Engineering (EPE 2016), 26-22 October, Iasi, Romania
978-1-5090-6129-7/16/$31.00 ©2016 European Union
Numerical Investigation of the Flow in a Modified
Bánki Turbine with Nozzle Foreseen with Guide Vanes
Andrei Dragomirescu
Department of Hydraulics, Hydraulic Machinery and Environmental Engineering
University Politehnica of Bucharest
Bucharest, Romania
andrei.dragomirescu@upb.ro
Abstract—This paper presents results of a study aimed at
verifying whether the usage of a cascade of guide vanes inside the
nozzle of a Bánki turbine could improve the turbine
performance. Bánki turbines are small cross-flow water turbines
used to harvest renewable energy, usually in a range from a few
kilowatts to a few hundred kilowatts. First, an existing turbine
with classical nozzle was experimentally and numerically
investigated to provide a basis for comparison. A mesh sensitivity
analysis was performed to find the most appropriate mesh
parameters in terms of accuracy and computational resources.
After choosing the mesh, the numerical results were validated
against experimental data. Second, the turbine with the nozzle
modified to accommodate a cascade of guide vanes was
numerically investigated. Comparisons of the results obtained on
the two nozzle geometries show that the turbine with nozzle
foreseen with guide vanes performs clearly better than the
classical turbine. The guide vanes assure absolute velocity angles
that are closer to the design value. The moment delivered by the
modified turbine is significantly higher than that of the classical
turbine. Hence, the usage of a nozzle with guide vanes is expected
to provide a higher turbine efficiency.
Keywords—cross-flow turbine; Bánki; modified nozzle; guide
vanes; efficiency; CFD; renewable energy
I. INTRODUCTION
A Bánki turbine is a partial admission cross-flow water
turbine, in which a nozzle produces a water jet that passes
through the runner twice, following a roughly transverse path.
Cross-flow turbines are small turbines used to harvest
renewable energy. They produce low powers, that span from a
few kilowatts to a few hundred kilowatts. Such turbines are
very well suited, among others, for providing electricity in
remote areas which are not connected to the grid. They possess
some clear advantages, such as simple construction and
maintenance, low price, flat efficiency curve, and good
behavior with partial loads, but have lower efficiency than
other turbine types – Pelton, Francis or Kaplan.
Donát Bánki’s theory regarding the design of cross-flow
turbines and results of laboratory tests on such a turbine are
extensively presented by Mockmore and Merryfield [1]. A
design value of 16° is recommended for the absolute velocity
angle at runner entry, 1. More recently, various studies,
carried out using mostly CFD, were focused on studying the
flow inside cross-flow turbines and on optimizing both nozzle
and runner geometry [2–6]. Bánki’s theory showed and
subsequent studies confirmed that most of the water energy –
about 66% of it – is transferred to the turbine during the first
pass of the water through the runner.
In the classical design, the nozzle of a Bánki turbine is
foreseen only with a flap that allows to adjust the discharge.
When the flap is partly closed, a wall jet forms at the end of the
nozzle. Such a jet acquires the nature of a boundary layer near
the wall while behaving like a free jet at a larger distance from
it [7]. Hence, the velocity distribution inside the jet is highly
asymmetric with respect to jet axis. Moreover, when the flap is
fully opened and the admission angle is large, it becomes
difficult to control the value of the tangential velocity when the
jet attacks the runner. Consequently, the absolute velocity
angle shows significant variations around the design value, that
range between 2° and 35° according to De Andrade et al. [3].
This strong deviation of the absolute velocity angle from the
design value can be considered a major cause of the relatively
low efficiency of the cross-flow turbines when compared with
other turbine types. To alleviate this problem, Dragomirescu
[8] proposed the usage of an array of stay vanes (or guide
vanes) inside the nozzles of Bánki turbines and presented a
method to properly design the stay vanes, so that the water jets
formed at nozzle exit attack the runner at roughly constant
angles of the absolute velocity.
In this paper, the usage of a cascade of guide vanes inside
the nozzle of a Bánki turbine is investigated by numerical
simulations. First, the flow through an existing turbine with
classical design is simulated. A mesh sensitivity analysis is
performed and the numerical algorithms and methods used are
validated by comparing the numerical results with data
obtained experimentally. Second, the flow through the turbine
modified so that the nozzle is foreseen with guide vanes is
studied. Results obtained on the two geometries are compared
in order to verify to what extent the new nozzle design could
improve the turbine performance.
II. TURBINE PARAMETERS AND EXPERIMENTAL INSTALLATION
A sketch of the Bánki turbine investigated in this study is
presented in Fig. 1. The runner has 19 blades, a breadth of
300 mm, and the outer and inner diameters of 250 mm and
165 mm respectively. The nozzle is horizontal and, in the case