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Flow Analysis of a Circular Cylinder on the Savonius...
Transcript of Flow Analysis of a Circular Cylinder on the Savonius...
International Journal of Mechanical & Mechatronics Engineering IJMME-IJENS Vol:19 No:06 41
190506-2323-IJMME-IJENS © December 2019 IJENS I J E N S
Flow Analysis of a Circular Cylinder on the
Savonius Hydrokinetic Turbine Performance Placed
the Side of Advancing Blade
Priyo Agus Setiawan1,3*, Triyogi Yuwono1,2, Wawan Aries Widodo1
1Mechanical Engineering Department, Institut Teknologi Sepuluh Nopember
Kampus ITS Keputih-Sukolilo, Surabaya 60111, Indonesia 2Center of Excellence in Automotive Control & System, Institut Teknologi Sepuluh Nopember
Kampus ITS Keputih-Sukolilo, Surabaya 60111, Indonesia 3Marine Engineering Department, Politeknik Perkapalan Negeri Surabaya
Jl. Teknik Kimia Kampus ITS Keputih-Sukolilo, Surabaya 60111, Indonesia *Corresponding Author: [email protected]
Abstract— The present study has investigated numerically the
effect of a circular cylinder diameter installed at the side of the
advancing blade on the performance of vertical axis Savonius
water turbine. The 2D simulation in the Gambit and Fluent Ansys
17.0 software has been performed by using the technique of the
moving mesh and the realizable k-epsilon turbulence model, to
compare the Savonius turbine performance between without
(conventional turbine) and with a circular cylinder installed at
the side of the advancing blade. The numerical validation is done
by comparing the result with published experimental data. In this
phase, the parameter used is the torque coefficient on the air fluid
by varying the three meshes from coarse to fine. Then, after the
numerical validation is reached, the working fluid in the
simulation will then be converted to water, then the ratio of the
diameter of the circular cylinder and the Savonius turbine varies
ds/D = 0.1, 0.3, 0.5, 0.7 and 0.9. The flow visualization show that
placing the circular cylinder beside of the advanced blade will
reduce the pressure and increase the velocity attached on convex
advancing blade. The results show that the highest power
coefficient (Cp) occurs at ds/D = 0.7 and TSR = 0.7, where the
increase in Cp can reach more than 28% compared to the
conventional one.
Index Term— savonius turbine; circular cylinder; advancing
blade; torque coefficient; power coefficient; moving mesh.
I. INTRODUCTION Indonesia is an archipelago country that has many seas not used
optimally for marine renewable energy. Purba et al have done
observation toward the ocean current by measuring average
velocity located Biawak, Anambas, Berhala and the results of
average velocity is 0.272 m/s, 0.055 m/s, 0.135 m/s,
respectively [1]. The velocity of ocean currents in Indonesia is
very low, so the type of turbine suitable for use is the Savonius
turbine which has a low tip speed ratio (TSR). Unfortunately, the Savonius turbine has low performance compared by the
others type of turbine. That is why, investigations have been
conducted by several authors to improve the performance of
Savonius turbines. Kailash et al have made the effort of
improvement toward the Savonius turbine by placing obstacle
as the deflector. The aim of the placing of deflector is to direct
of fluid flowing to the advancing blade to increase the velocity;
where two deflector plates are installed, one in front of the
returning blade and one other at the side of advancing blade of
the turbine. The experimental has been done in the water tunnel
with dimensions 0.73 m of width and 0.33 m of height using the
aspect ratio of the model of 0.7, and the results show that the
maximum of power coefficient (Cp) of 0.25 reached at the Tip
Speed Ratio (TSR) 1.08 [2]. Yuwono et al have conducted the
numerical study by varying the width of curtain plate placing at
the upstream of returning blade of Savonius turbine. They have
proven that placing the curtain plate upstream from the returning blade cannot always improve the Savonius turbine
performance. Where it has been proven that for the widest
curtain of S/D = 2 in Reynolds number of 90,000 is lower than
without curtain or referred to as conventional Savonius turbines
[3]. Kacprzak et al have studied numerically a modified turbine
blade to improve turbine performance. This is the elliptical
turbine blade as a turbine model that has a higher performance
than a coventional one [4]. For the continuation of research
from Kacprzak et al [4], Sanusi et al [5] have carried out
combined blades experimentally using two forms of blades that
are elliptical to concave and circular in shape to convex. It can increase performance 11% higher than conventional blade
shapes at TSR = 0.79. Sanusi et al [6] has studied numerically
for the combined blade of Kacprzak et al [4] toward the flow
characteristics using the 2D simulation. The visualization
analysis uses the contour of velocity and pressure on each blade
by investigating the pattern of a particular flow. The results of
particular flow pattern show that the blade combination of
elliptical-circular has the highest performance, after that the
blade in form elliptical and the lowest performance is the
conventional blade model. The Savonius turbine model uses
overlapping ratios = 0.23 experimentally tested in a water
tunnel has been studied by Nakajima et al [7]. The flow visualization results have concluded the pattern flow as
attached flow in the convex advancing side, dragging flow
occurs after attached flow, stagnation flow in the convex
returning side, overlap flow in the center of the rotor, vortex
flow from the returning and the advancing. Sheldahl et al have
studied the turbine performance experimentally by using the
Savonius model. The experimental data has been obtained by
testing the Savonius turbine in the wind tunnel using velocty 7
m/s and 14 m/s. The models have 1 m of height, 1 m of
diameter, and it has varied the bucket number of 2 and 3 and
overlap ratio from 0.0 to 2.0. The results of the experiment give the recommendation for the bucket number of 2 and the overlap
ratio of 0.1 - 0.15 [8]. The experiment of the Savonius turbine
International Journal of Mechanical & Mechatronics Engineering IJMME-IJENS Vol:19 No:06 42
190506-2323-IJMME-IJENS © December 2019 IJENS I J E N S
has been performed in the towing tank with a velocity of 0.56 m/s. The cylinder as disturbance has been placed at the side of
advancing blade numerically by varying the diameter and the
best results occurs at ds/D of 0.7. The results only discusse the
amount of torque and power coefficient [9]. The research about
cylinder also has been done numerically in front of the
advancing by varying the diameter. The results has been
obtained the best performance at the ds/D of 0.5 at stagger 30o
and 60o [10].
Yaakob et al have concluded that the parametric design for
the wind turbine can be used in the water turbine, and the results
of the power coefficient have the same curve compared to the
wind turbine [11]. The authors (Altan et al [12], McTavish et al [13], Rosario et al [14], Satrio et al [15], Wenlong et al [16];
Ariwiyono et al [17], Setiawan et al [9]; Setiawan et al [10],
[18], [19] have investigated numerically that show acceptable
results for simulation.
The description above explains that the obstacle shapes like
a cylinder and deflector plate can improve the turbine
performance. The present study has continued research from
Setiawan et al [9] by adding the flow visualization around
turbine as the velocity contour, the pressure contour and the
pressure different of along blade surface. A circular cylinder
effect will be investigated numerically while it is installed at beside of the advancing blade by varying ds/D = 0.1, 0.3, 0.5,
0.7, and 0.9 for X/D = 0.5 and Y/D = 0.7. It should be noted that
the position of the circular cylinder X/D = 0.5 and Y/D = 0.7 is
determined for no particular reason, but indeed research is
currently being carried out by other groups in the same
laboratory about the effects of X/D and Y/D position for certain
cylinder diameters on the Savonius turbine performance. When
a circular cylinder installed at the side of advancing blade, thus
the gap between the upper side of circular cylinder and the
advancing blade will form a channel like a nozzle. This causes
the fluid flowing through the nozzle to be accelerated and that will increase the momentum of flow in this region. The
momentum of flow in this gap will increase the positive torque,
then it will increase the Savonius turbine power. In practice, this
configuration might be applied in a small river or a water
channel with one direction flow of water. Therefore, the
objective of this study is to decide the size of a circular cylinder
that is placed on the side of the advancing blade with respect to
the turbine. The numerical simulation will be obtained the best
performance by seeing the effect of a circular cylinder size
include the coefficient of torque and the coefficient of power.
After that, the visualization includes the velocity pathline
structure, the contour of pressure, and the distribution of pressure along the blade surface will be also presented. These
results will be compared to conventional ones.
II. NUMERICAL SIMULATION
A. Computational Domains And Boundary Conditions
The Savonius blade rotates the clockwise (CW) by adding a
circular cylinder placing at the side of the advancing blade.
Fig.1 indicates the position of circular cylinder relative to the
blade. The 2D computational domains and boundary conditions
can be seen in Fig.2. The domain in this simulation has 3 (three) zones namely stationary, wake, and rotating zone. It has two
interfaces namely interface between rotating and wake zone,
interface between wake zone and stationary zone that can be
seen in Fig.2. The boundary conditions are the inlet, outlet upperside, lower side, Savonius blade that can be seen in Table
1.
In boundary conditions, the inlet is as the velocity inlet with
10D of length from inlet to center of Savonius turbine, outlet is
as the pressure-outlet with 10D of length from center of
Savonius to outlet, the lower and upper side is the wall with the
same length in 6D, the turbine blade is the wall and rotation
inserting the angular velocity (rad/s). The first interface is
between the area of the rotating zone to wake zone and the
second interface is between the area of wake domain and
stationary zone. The upper and lower side use symmetry to
avoid the influence of the wall. The upper side and lower side were taken 6D from the center turbine. This present study uses
structured mesh by setting the first layer on the rotor surface.
The changing of the circular cylinder diameter is varied ds/D
from 0.1 to 0.9 with incremental 0.2 that can be seen in Fig.2.
Table I
The boundary conditions for the simulation
Parameter Input
Inlet Velocity-inlet
Outlet Pressure outlet
Upper side Symmetry
Lower side Symmetry
Turbine Wall, rotation,
Interface 1 Interface between rotating and wake
zone
Interface 2 Interface between wake and
stationary zone
Fig. 1. A circular cylinder arrangement toward Savonius
B. Mesh Generation
The computational domains in this simulation consist of three
(3) domains such as the fixed, the rotating and the stationary domains. The meshing in geometry is used quadrilateral
elements for giving the solution of high accuracy that can be
seen in Fig.3. The simulation uses the Realizable k- (RKE) turbulence model by setting the y+ value between 30 and 100
[16]. The y+ value is made by setting the height of the first layer
to the blade surface as showed in Fig.3 (d).
ds/D = 0.1, 0.5, 0.7, 0.5 and 0.9
X/D = 0.5
Y/D = 0.7
X/D
Circular
cylinder
Conventional
Savonius
Y/D
ds
International Journal of Mechanical & Mechatronics Engineering IJMME-IJENS Vol:19 No:06 43
190506-2323-IJMME-IJENS © December 2019 IJENS I J E N S
Fig. 2 The 2D computational domain and boundary conditions for
simulation.
(a)
(b)
(c)
(d)
Fig. 3 Grid generation for the fixed domain (a), the wake domain (b), the
rotating domain (c) and blade (d).
C. Solver Setup The solver needs the input data before the simulation is started.
Model for solver will be inserted solver with green-gauss cell-
based, 2D double precisions, transient and viscous with
realizable k-epsilon (RKE). The requirement of the fluent
ANSYS as presented in Table II.
Table II
The requirement of fluent.
Parameter
Input
For verification
and validation
For a water
turbine
General Solver Pressure based,
Transient and 2D
Pressure based,
Transient and 2D
Model Viscous Realizable k-e
(RKE)
Realizable k-e
(RKE)
Material
Air (for
verification
and validation)
ρ = 1.225 kg/m3
μ = 1.7894. 10-5
kg/m.s
ρ = 998.2 kg/m3
μ = 1.003. 10-3
kg/m.s
Cell zone
condition
Rotating zone
Mesh motion,
Material name: air
Rotational velocity
(rpm) for
verification and
validation using
table 3 and 4,
respectively.
Mesh motion,
Material name:
water
Rotational velocity
(rpm) for the
simulation using
table 5
Wake zone Name of Material:
air
Name of Material:
water
Stationary
zone
Name of Material:
air
Name of Material:
water
Boundary
conditions
Inlet Velocity inlet 7 m/s,
Temperature 300 K
Velocity inlet 0.22
m/s, Temperature
300 K
Outlet Pressure outlet, 0 Pa Pressure outlet, 0 Pa
Upper side symmetry symmetry
Lower side symmetry symmetry
Savonius Moving wall,
rotation, no slip
Moving wall,
rotation, no slip
Mesh interface Interface 1, Interface
2
Interface 1,
Interface 2
Solution Monitors
Residual
Absolute criteria
10-5
Absolute criteria
10-5
Run
calculation
TSS using Table 3, 4
and Max Iteration
150 iterations
TSS using Table 5
and Max Iteration
150 iterations
The simulation has used the ANSYS 17.0 to solve
incompressible U-RANS for transient analysis by using the
sliding mesh for this case. For simulation, the increment angle
uses 1o to obtain the accuracy results [15] with the maximum
iteration 150. It means the process achieve the convergence
with setting residual in about 10-5 for all parameters. The
verification has performed at TSR = 1.078 and the velocity = 7
m/s taken from experimental data of Nakajima et al [15]. The mathematics equation includes Tip Speed Ratio (TSR), the
Coefficient of Torque (Cm), the Coefficient of Power (Cp), the
Number of Time Step (NTS), the Time Step Size (TSS) as
indicated in Eq. (1) to (5).
TSR = .D
2 .U (1)
Cm =T
14AsDU2
(2)
𝐶𝑝 = 𝑇𝑆𝑅 𝐶𝑚 (3)
NTS = N 360
(4)
TSS = N
0.15915 ω x NTS (5)
Where N is the number of rotations, is the increasing angle
or degree of rotation of the time step, is the angular velocity of the turbine (rad/s) and 0.15915 is the constant (conversion
from rad/s to rot/s units).
International Journal of Mechanical & Mechatronics Engineering IJMME-IJENS Vol:19 No:06 44
190506-2323-IJMME-IJENS © December 2019 IJENS I J E N S
The verification use the data from Table 3 by calculating the angular velocity (rad/s) using equation (1), NTS using equation
(4), TSS using equation (5), and the calculation results can be
seen in Table 3. After that, the validation has been performed
needed the input data that must first calculate ω (rad/s), N
(rpm), NTS and TSS varying the TSR = 0.3, 0.5, 0.7, 0.9, 1.1,
and 1.3 as showed in Table 4. The verification and validation
use the data presented by Sheldahl et al [8]. The next work is to
simulate on Savonius turbine by adding a circular cylinder
installed at the side of the advancing blade. The input data for
software can be seen in Table 2.
Table III
Number of time step and time step size for validation
TSR N (RPM) ω (rad/s) NTS (s) TSS (s)
1.078 144.087 15.095 51871 0.0011627
Table IV
Number of time step and time step size for using air fluid
TSR V
(m/s)
D
(m) N (RPM)
ω
(rad/s)
NTS
(s)
TSS
(s)
0.3 7 1 40.091 4.200 14433 0.00415567
0.5 7 1 66.818 7.000 24055 0.00249340
0.7 7 1 93.545 9.800 33676 0.00178100
0.9 7 1 120.273 12.600 43298 0.00138522
1.1 7 1 144.087 15.095 51871 0.00115628
1.3 7 1 173.727 18.200 62542 0.00095900
Table V
Number of time step and time step size for using water fluid
TSR V
(m/s)
D
(m)
N
(RPM)
ω
(rad/s)
NTS
(s)
TSS
(s)
0.3 0.22 0.4 3.150 0.330 1134 0.05289041
0.5 0.22 0.4 5.250 0.550 1890 0.03173424
0.7 0.22 0.4 7.350 0.770 2646 0.02266732
0.9 0.22 0.4 9.450 0.990 3402 0.01763014
1.1 0.22 0.4 11.550 1.210 4158 0.01442466
1.3 0.22 0.4 13.650 1.430 4914 0.01220548
D. Verification And Validation Of Numerical Simulations
The results of post-processing in the transient simulation are
grid convergence to estimate the effect of grid resolution on
calculating of dynamic torque coefficient for a full rotation of
the rotor with three different grid densities, which are
approximately 17,006, 61,105 and 120,000 nodes as shown in
Fig.4. Simulations have performed on a conventional Savonius
turbine at TSR of 1.078 following the value in Table 2. The verification has been performed by replacing the
element size near the blade with the node number 61,105 and
120,000 nodes have given the same trend results. By
considering the time consumption for economic reasons, the
grid with 61,105 elements would be chosen for the validation
step. The numerical validation has been done by comparing
with the experimental results presented by Sheldahl et al [8].
The comparison results of the average coefficient of torque
(Cm) between the numerical and experimental by varying TSR
of 0.3, 0.5, 0.7, 0.9, 1.1 and 1.3 can be seen in Fig.5. The graph
can be conclusions and is considered valid for used on the real
problem by installing a circular cylinder. The validation of the numerical simulation has shown high accuracy in comparison
with the experimental of Sheldahl et al. [8] by varying TSR.
The next step performed by changing fluid from air to water.
The input data of the real simulation was shown in Table 2.
Fig. 4 Comparison of grid convergence for verification.
Fig. 5. Validation of the torque coefficient (Cm).
The numerical domain has been tested to Savonius turbine
for low current with the current velocity of about 0.22 m/s. The
application on the Savonius turbine of vertical axis has been
done the validation process. The inlet as velocity-inlet has applied for the value current velocity of 0.22 m/s. The Savonius
turbine has a diameter of 0.4 m with the sliding mesh condition
for transient flow. The next numerical simulation will be done
by placing a circular cylinder on vertical axis Savonius water
turbine in front of the advancing blade.
Considering this present study, in which simulations have
applied to vertical axis Savonius water turbine so that the air
would be converted to water after validation has achieved. The
study has been performed at the velocity 0.22 m/s kept constant
and the Savonius turbine is 0.4 m of diameter. When validation
has been achieved, the study in this problem has been
performed by installing a cylinder placed the side of the advancing blade with the Y/D = 0.7 and the X/D = 0.5.
III. RESULTS AND DISCUSSION
A. Torque and power coefficient
Fig.6 and Fig.7 indicate the graph of the torque coefficient and
the power coefficient, respectively, as function of tip speed ratio
(TSR). The coefficient of torque increase at ds/D = 0.7 for TSR
from 0.5 to 0.9, and it will also increase at ds/D = 0.9 for TSR
1.1 and 1.3.
International Journal of Mechanical & Mechatronics Engineering IJMME-IJENS Vol:19 No:06 45
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Fig. 6. The torque coefficient as the function of TSR with the changing of
the cylinder diameter.
Fig. 7. The power coefficient as the function of TSR with the changing of
the cylinder diameter.
Compared to the conventional Savonius turbine, the
present of circular cylinder with ratio of diameters (ds/D)
varies 0.1, 0.3, 0.5, 0.7 and 0.9 have a positive impact on
the torque coefficient. Where, the torque coefficient will
increase with increasing ds/D up to 0.7. The maximum
torque coefficient occurs at ds/D = 0.7 and then the increase
in ds/D > 0.7 will decrease the coefficient of torque. The analysis of power coefficient in Fig.7 similar to the torque
coefficient, where the coefficient of power increases by
increasing the torque coefficient. The maximum coefficient of power (Cp) is also obtained at ds/D = 0.7, where the
increase in Cp can reach more than 28% at TSR = 0.7
compared to the conventional one. The depth analysis can
be performed by investigating the changing of ds/D toward
the dynamic torque coefficient for one rotation as shown in
Fig.8.
B. Torque Coefficient For One Rotation
Fig.8 indicates the coefficient of dynamic torque one rotation
for 360 degrees at TSR of 0.7 with respect to change of ds/D.
Peak dynamic torque coefficient has increased by increasing
ds/D and the turbine performance also increase. In the range from 0 to 30 degree, the dynamic torque coefficient has shown
increasing the torque coefficient for all diameter variations.
But, In the range from 30 to 120 degree, the best improvement
of maximum dynamic torque coefficient obtained at ds/D of 0.7
and then followed by ds/D of 0.9, where the both are higher than
the conventional one. The analysis in the range from 120 to 195
degree, the minimum dynamic torque coefficient is showed at
ds/D of 0.5. By decreasing the torque coefficient in this range,
it shows that the cylinder diameter ds/D of 0.9 will decrease the
torque coefficient however it can decrease the power coefficient
or the performance coefficient. The Peak dynamic torque coefficient occurs at ds/D of 0.7 and 0.9. In a range from 105 to
195 degree, the maximum dynamic torque coefficient occurs at
ds/D of 0.7. The maximum overall dynamic torque coefficient
is predicted occurred at ds/D of 0.7.
Fig. 8. Dynamic torque coefficient at a tip speed ratio 0.9 with respect to the
changing of circular cylinder diameter (ds/D).
C. The Velocity Pathline Structure at TSR = 0.9, = 30o to Advancing Blade Side
Fig.9 illustrates velocity pathline structure for changes in the
diameter ratio of ds/D which vary of 0.1, 0.3, 0.5, 0.7 and 0.9.
The formation of stagnation point over the single circular
cylinder occurred in front of a circular cylinder. The position of
stagnation point will change when a circular cylinder near rotating equipment as the Savonius turbine. The change of
stagnation point occurred at the upper side as shown in Fig.9.
The change of stagnation position in front of the cylinder is
caused by Savonius turbine for all circular cylinder diameter
variations. Nakajima et al. (2008) have found the flow
characteristic around Savonius namely attached flow, dragging
flow, stagnation flow, overlap flow, vortex from advancing and
vortex from returning. In this case, overlap flow does not occur
at conventional Savonius with zero overlap ratio.
0,10
0,15
0,20
0,25
0,30
0,35
0,40
0,45
0,5 0,7 0,9 1,1 1,3
To
rqu
e C
oef
fici
ent
(Cm
)
Tip Speed Ratio
Conventional Savonius
ds/D = 0.1
ds/D = 0.3
ds/D = 0.5
ds/D = 0.7
ds/D = 0.9
0,12
0,14
0,16
0,18
0,20
0,22
0,24
0,26
0,28
0,5 0,7 0,9 1,1 1,3
Po
wer
Co
effi
cien
t (C
p)
Tip Speed Ratio
Conventional Savonius
ds/D = 0.1
ds/D = 0.3
ds/D = 0.5
ds/D = 0.7
ds/D = 0.9
-0,40
-0,20
0,00
0,20
0,40
0,60
0,80
1,00
0 15 30 45 60 75 90 105 120 135 150 165 180 195 210 225 240 255 270 285 300 315 330 345 360
Dynam
ic T
orq
ue
Coef
fici
ent (C
m)
(deg)
Conventional Savonius ds/D = 0.1
ds/D = 0.3 ds/D = 0.5
ds/D = 0.7 ds/D = 0.9
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(a) Conventional Savonius
(b) ds/D of 0.1
(c) ds/D of 0.3
(d) ds/D of 0.5
(e) ds/D of 0.7
(f) ds/D of 0.9
Fig. 9. Velocity pathline structure for the changing of the cylinder diameter at TSR of 0.9 and blade angle () of 30o.
The formation of stagnation point also occurs in the front
surface of the returning blade called stagnation flow. Stagnation
flow always occurs at the convex returning blade. The
investigation of flow visualization is observed around Savonius blade with the following analysis from Nakajima et al. (2008).
The formation of the vortex can be found at the edge of the
advancing blade side for all circular cylinders variations. The
gap of two bluff bodies has caused the flow accelerated. On
other hands, the increase of velocity will increase the flow
momentum between both of bluff bodies that can be seen in Fig.9 (e). Therefore, the flow momentum will increase when a
circular cylinder is mounted at the advancing blade side. The
Vortex shedding from returning
Vortex shedding from advancing
Attached flow
Dragging flow
Stagnation flow
High velocity
Vortex shedding from advancing
Vortex shedding from returning
Attached flow
Dragging flow
Stagnation flow
Vortex shedding from returning
Attached flow
Dragging flow
Stagnation flow
Attached flow
Vortex shedding from returning
Dragging flow
Stagnation flow
Vortex shedding from returning
Attached flow
Dragging flow
Stagnation flow
Vortex shedding from returning
Vortex shedding from advancing Attached
flow
Dragging flow
Stagnation flow
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edge of the advancing blade has shown the vortex formation at returning and advancing blade. Stagnation point has occurred at
the returning blade that can be seen in Fig 9. (e). Attached flow
and dragging flow always occur at convex advancing blade.
Attached flow is indicated by high velocity increasing ds/D.
The maximum velocity area has been reached at ds/D of 0.7 and
decreased at ds/D of 0.9. The velocity in the attached flow area
can cause the drop pressure at the advancing blade, however it
will increase the positive torque and automatically the power
also increases. The prediction of the maximum power
coefficient occurs at ds/D of 0.7.
D. The Pressure Contour at TSR = 0.9, = 30o to Advancing Blade Side
Pressure contour by varying ds/D can be seen in Fig.10. Attached flow regime has shown the changing of pressure. On
other hands, the low pressure has occurred in this regime. This
shows that a circular cylinder can cause the drop pressure at the
convex side of the advancing blade. The negative pressure that
occurs at convex of the advancing blade will cause the
increasing positive torque, however it also will increase the
power coefficient. The prediction of the highest performance
will occur at ds/D of 0.7 that based on the average torque
coefficient.
(a) conventional Savonius
(b) ds/D = 0.1
(c) ds/D = 0.3
(d) ds/D = 0.5
(e) ds/D = 0.7
(f) ds/D = 0.9
Fig. 10. Pressure contour for the changing of the cylinder diameter (ds/D) at TSR = 0.9
and = 30o.
E. The Pressure Distribution On The Blade Surface At TSR =
0.9, = 30o to Advancing Blade Side
The pressure distribution has been investigated by varying ds/D
at TSR = 0.9 and the blade angle () = 30o that can be seen in Fig.11. The graph shows two regimes namely the pressure
distribution of the advancing blade and the returning blade. The
pressure distribution will be investigated in the front and back
side. The graph shows that the pressure distribution in front side similar to all variations at the advancing blade, and the pressure
distribution in the back side has been obtained the highest
pressure at ds/D of 0.7 for the returning blade. The graph hows
the pressure distribution where the negative pressure occurs at
the back side. The pressure distribution at back side of the
advancing blade shows that ds/D of 0.7 have more negative
Low pressure
Stagnation pressure
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190506-2323-IJMME-IJENS © December 2019 IJENS I J E N S
pressure than the other and the pressure distribution at the returning blade is not significant toward cylinder variations.
The analysis is performed by correlating the pressure and
velocity contour. It is taken the result of the pressure
distribution significantly at the back side of the advancing blade
as shown in Fig.11. The negative pressure in the graph shows
the circular cylinder diameter effect has increased the velocity
at the back side of the advancing blade. The results of velocity
contour show that the highest velocity occurs at the ds/D of 0.7
and the lowest pressure occurs in this variation.
Fig. 11 Pressure distribution on blade surface for the changing of the
cylinder diameter ds/D of 0.5 at TSR = 0.9 and = 30o.
IV. CONCLUSION
Based on the discussion above, the effect of mounted a
circular cylinder the Side of the advancing blade with the
variation of ratio diameter of circular cylinder and Savonius
turbine (ds/D) can be quantitatively predicted. The changing of
ds/D cause an increase velocity in the attached flow area and the maximum velocity occurs at ds/D of 0.7. The velocity in the
attached flow provokes a blade pressure drop on the backside
of advancing blade which causes an increasing of the net
pressure. Finally it causes an increase in drag pressure on the
advancing blade and automatically in positive torque. Among
the circular diameter tested, the circular cylinder diameter of
ds/D = 0.7 gives the highest power coefficient (Cp) at TSR =
0.7, where the increase in Cp can reach more than 28%
compared to the conventional one. The simulation results also
confirm that there is no overlapping flow in conventional
Savonius turbine due to the absence of overlap ratio in
conventional Savonius turbine.
ACKNOWLEDGMENT
The authors would like to thank the Shipbuilding Institute of
Polytechnic Surabaya has given for all support to finished this researches.
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ds/D = 0.5
ds/D = 0.7
ds/D = 0.9
Returning Blade
Adancing Blade
Front Side Curve
Back Side curve