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Cavitation in Francis Turbine - Effects and Remedies
Saurabh Tripathi, Rajeev Ranjan, Rajnish Kumar, Rajesh Kumar, Veer Kunwar Singh,
Saurabh Singh
Lakshmi Narain College Of Technology
Bhavrasala, Sanwer Road, Indore
Abstract
Cavitation is an important problem in hydraulic machines that negatively affects their
performance and may cause damages. Cavitation is a phenomenon which manifests itself in
the pitting of the metallic surfaces of turbine parts because of the formation of cavities. In the
present paper, a brief description of the general features of cavitation phenomenon is given.
Remedies include a trial and error approach which is used to modify geometric shapes in order
to reduce cavitation problem in the runner were discussed in details.
Key words: Cavitation; Blades; Erosion; Turbine; Francis; CFD; cavitation; design
1. Introduction
The reaction turbines operate under low and medium head with high specific speed and
operate under variable pressure .Cavitation is a problem faced by reaction type hydraulic
turbines. Cavitation in hydraulic machines negatively affects their performance and may
causes severe damages. It was discussed in details about the Thoma’s Cavitation factor.
Based on the literature survey various aspects related to cavitation in hydro turbines have
been discussed .The management of the small hydropower plants for achieving higher
efficiency of hydro turbines with time is an important factor. Declined performances were
reported after few years of operation as they get severely damaged due to various reasons.
One of the important reasons is erosive wear of the turbines due to high content of abrasive
material carried over by water and cavitation.
Cavitation was used to describe the phenomenon of phase changes of liquid-to-gas and gas
-to-liquid that occur when the local fluid dynamic pressures in areas of accelerated flow drop
below the vapour pressure of the local fluid. Cavitation erosion is mainly a problem of
hydraulic equipment and to overcome this trouble we should apply better design of moving
parts and better metallurgy, which up to now seems the easiest way to solve the problems.
1
Cavitation occurs when the static pressure of the liquid falls below its vapour pressure, the
liquid boils and large number of small bubbles of vapours are formed. These bubbles mainly
formed on account of low pressure are carried by the stream to higher pressure zones where
the vapours condense and the bubbles suddenly collapse, as the vapours are condensed to
liquid again.
This results in the formation of a cavity and the surrounding liquid rushes to fill it. The
streams of liquid coming from all directions collide at the centre of cavity giving rise to a
very high local pressure whose magnitude may be as high as 7000 atm. Formation of cavity
and high pressure are repeated many thousand times a second. This causes pitting on the
metallic surface of runner blades or draft tube. The material then fails by fatigue, added by
corrosion. Cavitation commonly occurs in hydraulic turbines, around runner exit.
In general there are two ways to reduce the cavitation damage:-
1.) One involves optimizing the hydraulic design of equipment.
2.) The other involves developing coatings for the substrates of wetted parts, which
can prolong the overhaul interval of hydraulic components.
Cavitation in general is slow process but the effect of cavitation is severe. Damaged
caused by cavitation, if summarized are: erosion of material from turbine parts,
distortion of blade angle, loss of efficiency due to erosion/distortion. Prof. D Thoma
suggested a dimensionless number called as Thoma’s Cavitation factor σ (sigma), which
can be used for determining the region where cavitation takes place in reaction turbines:
(1)
Where Ha is the atmospheric pressure head in m of water, Hs is the suction pressure at
outlet of reaction turbine in m of water or height of turbine runner above the tail water
surface , Hv is vapor pressure head, H is the net head on the turbine in m of water. The
value of σ depends on Ns (specific speed) of the turbine and for a turbine of given Ns
the factor σ can be reduced up-to a certain value up to which its efficiency, ηo remains
constant. A further decrease in value of σ results in a sharp fall in ηo. The value of σ at
this turning point is called critical cavitation factor σc. The value of σc for different
turbines may be determined with the help of following empirical relationships:-
2
σC= 0.625(NS /380.78)2
(2)
The values of σ obtained from equation (1) is compared with the value of σc from
equation (2) and (3) and if value of σ is greater than σc, cavitation will not occur in that
turbine.
1.1 Cavitation – Erosion in Hydro Turbines
Also known as “pitting” erosion, cavitation on hydro- turbines occurs as a result of the
steady erosion of particles from the turbine surface, Pitting depth exceeding 40 mm in
depth has been observed on hydro-turbine runner surfaces. Typical metal losses
experienced in the hydro-generating industry can average approximately 5kg/m2 /
10,000 hours (generally repair is scheduled at 40,000 hours). For a turbine runner over a
period of several years, metal losses up to 200kg is not uncommon. Up to 90% of
hydro-turbines suffer cavitation damage to some extent. To study the cavitation
erosion, three types of devices have usually been used. These are the rotating disk, the
hydrodynamic tunnel and a vibratory device which produces cavitation. Cavitation-
erosion is most likely to occur on the low pressure side of the turbine runner blades.
Damages caused by cavitation if summarized are:
• Erosion o f material from turbine parts.
• Distortion of blade angle.
• Loss of efficiency due to erosion/distortion.
Cavitation can appear in hydraulic turbines under different forms depending on
hydraulic designs and the operating conditions. In Francis turbine the main types are
leading edge cavitation, travelling bubble cavitation, Von Karman vortex cavitation
and draft tube swirl as shown in Fig.1.
Leading edge or inlet cavitation is usually a very aggressive type that is likely to erode
the blades deeply. Traveling bubble cavitation is noisy type of cavitation that reduces
machine efficiency and provokes blade erosion.
Draft tube swirl generates low frequency pressure pulsations that in case of
hydraulic resonance can cause strong vibrations on the turbine and even on the
power- house. Von Karman vortex cavitation produces structural vibrations at the
3
trailing edge of vanes.
(a) Draft tube swirl (b) Travelling edge cavitation
(c) Leading edge cavitation (d) Inter-blade vortex cavitation
Fig.1 Different types of cavitation in Francis turbine
2. Experimental Studies
Escalera et al (2006) [1] carried out experimental investigation in order to evaluate the
detection of cavitation in actual turbines. The methodology was based on the analysis
of structural vibrations, acoustic emissions and hydrodynamic pressures measured in
the machine. The results obtained for the various types of cavitation found in the
selected machines were presented and discussed in detail. Various types of cavitation
in Francis turbines were found are as shown in Fig. in travelling bubble, the generalized
Rayleigh-Plesset equation was found valid approximation of the bubble growth and it
can be solved to find the radius of the bubble, ; provided that the bubble pressure,
4
; and the infinite domain pressure, ; are known. The equation is
expressed as:
Where ν is the kinematic viscosity, ρ is density and γ is surface tension.
Hart and Whale [2] carried out work on improved weld surfacing alloy which was
developed and tested to resist cavitation erosion in hydro turbines. During their study
they experienced the typical wear characteristics in laboratory testing and then
correlated to actual service conditions. A metallurgical evaluation showed that a high
strain, work hardening austenitic stainless steel produces superior resistance to
cavitation erosion. During their study several industrial alloys were evaluated using the
vibratory and high velocity cavitation test to produce a new alloy development in weld
surfacing. Field testing showed an improvement in cavitation- erosion resistance of up
to 800% relative to 308 stainless steel. The cumulative weight loss of various industrial
alloys is shown in Figure. 2.
Fig. 2 Cumulative weight loss of various industrial alloys
3. Methodology & Material
3.1 Improvement in the design of the runner to reduce cavitation
At first a steady 3D Navier-Stokes CFD analysis of the original runner is made to
evaluate fluid dynamics performance in nominal conditions. A 1/10 scaled runner model
is used to contain mesh nodes number and, for this reason, analysis is made in fluid
5
(3)
dynamics similarity conditions with real runner. CFD domain is shown in Fig.3. It is set up
by one blade, hub and shroud walls, inlet and outlet boundaries and two periodic surfaces.
The domain is supposed rotating at 3333.33 rpm (10 times more than real runner). To assure
fluid dynamics similarity a 1/10 mass flow rate is imposed at inlet while an uniform pressure
is supposed at outlet. Net head is the same of real runner. This choice allows to have velocity
field in the model equal to real runner, not only similar. Inlet axial velocity component is
neglected, while the angle a between tangential and radial components is found with trials in
order to assure the expected power. A k-‹ model is used and an inlet 3% turbulence intensity
is supposed. A cavitation model is set to verify if it arises in nominal working condition.
In Fig.4 pressure coefficient cp contours on blade, hub and shroud are shown. cp is defined
as follows:
CP= p - pref
Where pref is a reference pressure, q is water density, c is rotating speed in rad/s and
D is reference inlet runner diameter.
A very low pressure peak appears on the leading edge close to shroud. In fact, in this
area cavitation is shown by CFD analysis and visual check on the runner as it can be seen in
Fig.5. This is due to the shape of meridional channel that gives a strong acceleration to the
water. For this reason a new design is needed to keep down this negative phenomenon.
6
Fig3. CFD Domain and Mesh
3.2 Blade Design
Velocity distribution is used to track new velocity triangles in order to:
• Assure an optimal incidence at inlet keeping in mind higher rotational speed for
new runner
• Assure an absolute velocity at outlet more axial than possible in order to maximize
specific power
Blade shape is modified in the basis of CFD results by a trial and error approach. An
automatic tool is used to generate 3D blade simply making changes on blade-to-blade
plans. In particular midline shape on different blade-to-blade plans and thickness
distribution were modified. Different stack angles configurations are evaluated to
modify blade loading on runner suction side in order to minimize the velocity peak close
to leading edge. This technique led to a very full 3D shape of the blade of new runner. As
it can be seen there is a sudden leading edge curvature change that has positive effects on
cp. It assumes higher values close to shroud.
Total pressure losses due to a non-optimal incidence on the blade are avoid using an
elliptical shape for leading edge, instead of circular one used for the original blade. Only a
weak deceleration is shown on shroud section that is probably due to a non-optimal
runner. B/D ratio because of constraints before described.
7
Fig.4 Original Runner CP contours
Fig.5 Cavitation on leading edge
of original runner
A strong water separation in the original runner is shown. This phenomenon has to be
seriously avoided to contain local total pressure losses. For this reason a lot of attention was
given to that in the new runner design. In particular changes in new bade profiles were made
assure a more regular a more acceleration inside the blade channel like:
1) using a thinner leading edge to avoid strong accelerations around the
circular leading edge of the original runner;
2) using a smoother thickness distribution in order to minimize velocity
gradients on the new blade;
3) using a fully 3D geometry to modify pressure distribution on
pressure and suction sides to reach a more uniform as possible
reaction degree along the new blade height.
No water separation appears around new blade as it can be seen in Fig 6.
3.3 Cavitation damage repair
The Repair of Cavitation pitting Damage on turbines is considered an essential part of a
hydro plant maintenance program. Repair of damage turbines from Cavitation can be done by
welding which is considered to be most common and most successful method of repairing
(Iftikhar et al, 2007)[3]. One promising technique being utilized in recent times is spraying of
metallic and non - metallic materials over surface. The cavitation an erosion resistance of
thermal spray coatings has been investigated and presented by Santa et.al. (Santa JF et al,
8
Fig.6 Velocity vectors
plot for original
runner (left) and new
one (right)
2009)[4]. Therefore in order to detect and prevent them it is necessary to apply adequate
detection techniques that could be easily used in real hydropower plants. An on - line
monitoring system is now considered as an important part of modern control system of
hydropower plant. Vibration measurement is important with respect to cavitation detection
also. Increased vibration level along with abnormal noises is the fingerprints of cavitation.
Kumar et al. (2005)[5] investigated that Stellite 6 deposited by high velocity Oxyfuel
(HVOF) process had the lowest cavitation rate as compare to 308 stainless steel weld metal.
Escaler et al reported that the steady erosion rate of a cermet coating composed of tungsten
carbide particles in a cobalt matrix was lower than that of ASTM A743 grade CA6NM
martensitic stainless steel.
Sugiyama et al. (2005)[6] found that the cavitation erosion resistance of a number of
thermally sprayed cermets increased with the reduction of pore density of the samples, which
explained that 41 WC/Ni/ Cr/Co flame thermally sprayed coating showed better resistance
than the stainless steel and the rest of coatings evaluated. Espitia and Toro (2010)[7] tested
experimentally the cavitation resistance of a stainless steel and two flame thermal spray
coatings and from their study they observed that the best cavitation resistance was shown by
the uncoated ASTM A743 grade CA6NM stainless steel, followed by WC/CoFeNiCr and
Cr2O3.
Cavitation is defined by Knapp et al. (1970)[8] as the condition when a liquid reaches a state
at which vapour cavities are formed and grow due to dynamic-pressure reductions to the
vapour pressure of the liquid at constant temperature. The violent process of cavity collapse
takes place in a very short time of about several nanoseconds and results in the emission of
large amplitude shock-waves, as demonstrated by Avellan F et al, (1989)[9]. Baiter HJ et al,
(1986)[10] and Ceccio S Let al, (1991)[11] have shown that the measurement and analysis of
hydraulic noise are useful for investigation the feature of cavitation phenomenon. Rasmussen
REH et al, (1949) [12], Lichtman J.Z. et al(1964) [13], Wood G.M et al (1949) [14] have
used RDA to investigate cavitation. Cavitation repair methods by welding and thermal spray
coatings have been well studied and presented by Kumar et al.
Cavitation erosion problems are found in turbine runner as well as in other parts of the
turbine system as a result of rapid changes in pressure, which lead to the formation of small
bubbles or cavities in the liquid. These bubbles collapse near the component’s surface at a
high frequency in such a way that the elastic shock wave created is able to cause erosion of
the material straight afterwards Rasmussen REH et al, (1949).J.F. Santa et al (2009) studied
9
slurry and cavitation erosion resistance of six thermal spray coatings.
At present, prevents and reduces the cavitation damage the main measure to include:
1) Correct design hydraulic turbine runner, reduces the hydraulic turbine cavitation
coefficient
2) Enhancement manufacture quality, the guarantee leaf blade's geometry shape and the
relative position are correct, guarantee leaf blade s urface smooth bright and clean.
3) Uses the anti-cavitation material, reduces the cavitation to destroy, for example
uses the stainless steel runner.
4) Calculates the installation elevation of hydraulic turbine correctly.
5) Improves the running condition, avoids the hydraulic turbine for a long time running
under the low head and the low load.Usually dose not allow the hydraulic turbine to
transport the low output.
6) Prompt maintenance, and pays attention to the patching welding the polish quality, avoids
the cavitation the malignant development.
7) Uses the air supplemental equipment to send the air into the draft tube, eliminates
possibly has the cavitation oversized vacuum.
4. Conclusions
Cavitation is a phenomenon of formation of vapour bubbles in low pressure regions and
collapse in high pressure regions, high pressure is produced and metallic surfaces are
subjected to high local stresses. Cavitation can present different forms in hydraulic turbines
depending on the machine design and the operating condition. As a result, high vibration
levels, instabilities and erosion can occur this invalidates the machine operation and cause
damage. It is difficult to avoid cavitation completely in hydraulic turbines but can be reduced
to economic acceptable level .It is observed that in spite of design changes in the turbine
components and providing different materials and coatings to the turbine blades, the
improvement in most cases is not quite significant.
It is therefore further experimental and theoretical studies for solving the impact of
cavitation in hydro turbine is required.
10
5. NOMENCLATURE
p
q
c
V
(Pa)
(kg.m
-3
)
(rad.s
-1
)
(m.s
-1
)
pressure
density
rotational speed
velocity
H
Q
D
(m)
(m
3
.s
-1
)
(m)
( )
net head
flow rate
runner reference
diameter efficiency
Cp ( ) pressure coeff. inlet ( ) inlet
K ( ) velocity coeff. ref ( ) reference
B (m) stay vane height Rs (m) shroud radius
6. REFERENCES
1) Escalera X, Egusquiza E, Farhat M Avellan, F Coussirat M (2006), Detection of
cavitation in hydraulic turbines. Mechanical Systems and Signal Processing, 20 983–
1007
Hart D, Whale Review of cavitation–erosion resistant weld surfacing alloys for hydro
turbines. www.castolin.com/wCastolin_com/pdf/publications/CaviTec.pd f.
2) Iftikhar, Ahmad, Syed Asif ,Ali and Barkatullah (2007), Elements of an effective repair
program for cavitation damages in hydraulic turbines. Information Technology
Journal,6(8): 1276-1281.
3) Santa JF, Espitia LA, Blanco JA Romo, Toro SA (2009), Slurry and cavitation erosion
resistance of thermal spray coatings. International journal of Wear 267,pp1660-167.
4) Kumar, Ashok, Boy J. Zatorski Ray and Stephenson L.D (2005), Thermal Spray and
Weld Repair Alloys for the Repair of Cavitation Damage in Turbines and Pumps: A
Technical Note ASM international.
5) Sugiyama K, Nakahama S, Hattori S, Nakano K (2005). Slurry wear and cavitation
erosion of thermal-sprayed cermets. Wear 258, 768–75.
6) Espitia L.A and Toro A(2010) Cavitation resistance, microstructure and surface
topography of material used for hydraulic components. Tribology international 43,2037-
2045.
7) Knapp R T, Daily JW, Hammitt F.G (1970), Cavitation. McGraw-Hill, New York (1970).
8) Avellan F, Farhat M (1989), Shock pressure generated by cavitation vortex collapse,
Proceedings of the Third International Symposium on Cavitation Noise and Erosion in
Fluid Systems, FED. ASME Winter Annual Meeting, San Francisco, CA, 88,pp .119–125.
9) Baiter HJ (1986), On different notions of cavitation noise and what they imply,
Proceedings of the International Symposium on Cavitation and Multiphase Flow, FED
ASME 45,pp .107–118.
11
10) Ceccio SL, Brennen CE (1991), Observations of the dynamics and acoustics of travelling
bubble cavitation, Journal of Fluid Mechanics, 233,pp . 633-660
11) Rasmussen REH (1949), Experiment on flow with cavitation in water mixed with air.
Trans. Danish Academy of Tech. Sci., No 1.
12) Lichtman JZ, Weingram ER (1964), The use of rotating disc apparatus in determining
cavitation erosion resistance materials, In: ASME Symposium on Cavitation Research
Facilities and Techniques, 185-196.
13) Wood G M , Knudsen LK and Hammitt FG (1967), Cavitation damage studies with
rotating disc in water, Journal of Basic Engineering,pp . 98-110.
12

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Cavitation in francis turbine

  • 1. Cavitation in Francis Turbine - Effects and Remedies Saurabh Tripathi, Rajeev Ranjan, Rajnish Kumar, Rajesh Kumar, Veer Kunwar Singh, Saurabh Singh Lakshmi Narain College Of Technology Bhavrasala, Sanwer Road, Indore Abstract Cavitation is an important problem in hydraulic machines that negatively affects their performance and may cause damages. Cavitation is a phenomenon which manifests itself in the pitting of the metallic surfaces of turbine parts because of the formation of cavities. In the present paper, a brief description of the general features of cavitation phenomenon is given. Remedies include a trial and error approach which is used to modify geometric shapes in order to reduce cavitation problem in the runner were discussed in details. Key words: Cavitation; Blades; Erosion; Turbine; Francis; CFD; cavitation; design 1. Introduction The reaction turbines operate under low and medium head with high specific speed and operate under variable pressure .Cavitation is a problem faced by reaction type hydraulic turbines. Cavitation in hydraulic machines negatively affects their performance and may causes severe damages. It was discussed in details about the Thoma’s Cavitation factor. Based on the literature survey various aspects related to cavitation in hydro turbines have been discussed .The management of the small hydropower plants for achieving higher efficiency of hydro turbines with time is an important factor. Declined performances were reported after few years of operation as they get severely damaged due to various reasons. One of the important reasons is erosive wear of the turbines due to high content of abrasive material carried over by water and cavitation. Cavitation was used to describe the phenomenon of phase changes of liquid-to-gas and gas -to-liquid that occur when the local fluid dynamic pressures in areas of accelerated flow drop below the vapour pressure of the local fluid. Cavitation erosion is mainly a problem of hydraulic equipment and to overcome this trouble we should apply better design of moving parts and better metallurgy, which up to now seems the easiest way to solve the problems. 1
  • 2. Cavitation occurs when the static pressure of the liquid falls below its vapour pressure, the liquid boils and large number of small bubbles of vapours are formed. These bubbles mainly formed on account of low pressure are carried by the stream to higher pressure zones where the vapours condense and the bubbles suddenly collapse, as the vapours are condensed to liquid again. This results in the formation of a cavity and the surrounding liquid rushes to fill it. The streams of liquid coming from all directions collide at the centre of cavity giving rise to a very high local pressure whose magnitude may be as high as 7000 atm. Formation of cavity and high pressure are repeated many thousand times a second. This causes pitting on the metallic surface of runner blades or draft tube. The material then fails by fatigue, added by corrosion. Cavitation commonly occurs in hydraulic turbines, around runner exit. In general there are two ways to reduce the cavitation damage:- 1.) One involves optimizing the hydraulic design of equipment. 2.) The other involves developing coatings for the substrates of wetted parts, which can prolong the overhaul interval of hydraulic components. Cavitation in general is slow process but the effect of cavitation is severe. Damaged caused by cavitation, if summarized are: erosion of material from turbine parts, distortion of blade angle, loss of efficiency due to erosion/distortion. Prof. D Thoma suggested a dimensionless number called as Thoma’s Cavitation factor σ (sigma), which can be used for determining the region where cavitation takes place in reaction turbines: (1) Where Ha is the atmospheric pressure head in m of water, Hs is the suction pressure at outlet of reaction turbine in m of water or height of turbine runner above the tail water surface , Hv is vapor pressure head, H is the net head on the turbine in m of water. The value of σ depends on Ns (specific speed) of the turbine and for a turbine of given Ns the factor σ can be reduced up-to a certain value up to which its efficiency, ηo remains constant. A further decrease in value of σ results in a sharp fall in ηo. The value of σ at this turning point is called critical cavitation factor σc. The value of σc for different turbines may be determined with the help of following empirical relationships:- 2
  • 3. σC= 0.625(NS /380.78)2 (2) The values of σ obtained from equation (1) is compared with the value of σc from equation (2) and (3) and if value of σ is greater than σc, cavitation will not occur in that turbine. 1.1 Cavitation – Erosion in Hydro Turbines Also known as “pitting” erosion, cavitation on hydro- turbines occurs as a result of the steady erosion of particles from the turbine surface, Pitting depth exceeding 40 mm in depth has been observed on hydro-turbine runner surfaces. Typical metal losses experienced in the hydro-generating industry can average approximately 5kg/m2 / 10,000 hours (generally repair is scheduled at 40,000 hours). For a turbine runner over a period of several years, metal losses up to 200kg is not uncommon. Up to 90% of hydro-turbines suffer cavitation damage to some extent. To study the cavitation erosion, three types of devices have usually been used. These are the rotating disk, the hydrodynamic tunnel and a vibratory device which produces cavitation. Cavitation- erosion is most likely to occur on the low pressure side of the turbine runner blades. Damages caused by cavitation if summarized are: • Erosion o f material from turbine parts. • Distortion of blade angle. • Loss of efficiency due to erosion/distortion. Cavitation can appear in hydraulic turbines under different forms depending on hydraulic designs and the operating conditions. In Francis turbine the main types are leading edge cavitation, travelling bubble cavitation, Von Karman vortex cavitation and draft tube swirl as shown in Fig.1. Leading edge or inlet cavitation is usually a very aggressive type that is likely to erode the blades deeply. Traveling bubble cavitation is noisy type of cavitation that reduces machine efficiency and provokes blade erosion. Draft tube swirl generates low frequency pressure pulsations that in case of hydraulic resonance can cause strong vibrations on the turbine and even on the power- house. Von Karman vortex cavitation produces structural vibrations at the 3
  • 4. trailing edge of vanes. (a) Draft tube swirl (b) Travelling edge cavitation (c) Leading edge cavitation (d) Inter-blade vortex cavitation Fig.1 Different types of cavitation in Francis turbine 2. Experimental Studies Escalera et al (2006) [1] carried out experimental investigation in order to evaluate the detection of cavitation in actual turbines. The methodology was based on the analysis of structural vibrations, acoustic emissions and hydrodynamic pressures measured in the machine. The results obtained for the various types of cavitation found in the selected machines were presented and discussed in detail. Various types of cavitation in Francis turbines were found are as shown in Fig. in travelling bubble, the generalized Rayleigh-Plesset equation was found valid approximation of the bubble growth and it can be solved to find the radius of the bubble, ; provided that the bubble pressure, 4
  • 5. ; and the infinite domain pressure, ; are known. The equation is expressed as: Where ν is the kinematic viscosity, ρ is density and γ is surface tension. Hart and Whale [2] carried out work on improved weld surfacing alloy which was developed and tested to resist cavitation erosion in hydro turbines. During their study they experienced the typical wear characteristics in laboratory testing and then correlated to actual service conditions. A metallurgical evaluation showed that a high strain, work hardening austenitic stainless steel produces superior resistance to cavitation erosion. During their study several industrial alloys were evaluated using the vibratory and high velocity cavitation test to produce a new alloy development in weld surfacing. Field testing showed an improvement in cavitation- erosion resistance of up to 800% relative to 308 stainless steel. The cumulative weight loss of various industrial alloys is shown in Figure. 2. Fig. 2 Cumulative weight loss of various industrial alloys 3. Methodology & Material 3.1 Improvement in the design of the runner to reduce cavitation At first a steady 3D Navier-Stokes CFD analysis of the original runner is made to evaluate fluid dynamics performance in nominal conditions. A 1/10 scaled runner model is used to contain mesh nodes number and, for this reason, analysis is made in fluid 5 (3)
  • 6. dynamics similarity conditions with real runner. CFD domain is shown in Fig.3. It is set up by one blade, hub and shroud walls, inlet and outlet boundaries and two periodic surfaces. The domain is supposed rotating at 3333.33 rpm (10 times more than real runner). To assure fluid dynamics similarity a 1/10 mass flow rate is imposed at inlet while an uniform pressure is supposed at outlet. Net head is the same of real runner. This choice allows to have velocity field in the model equal to real runner, not only similar. Inlet axial velocity component is neglected, while the angle a between tangential and radial components is found with trials in order to assure the expected power. A k-‹ model is used and an inlet 3% turbulence intensity is supposed. A cavitation model is set to verify if it arises in nominal working condition. In Fig.4 pressure coefficient cp contours on blade, hub and shroud are shown. cp is defined as follows: CP= p - pref Where pref is a reference pressure, q is water density, c is rotating speed in rad/s and D is reference inlet runner diameter. A very low pressure peak appears on the leading edge close to shroud. In fact, in this area cavitation is shown by CFD analysis and visual check on the runner as it can be seen in Fig.5. This is due to the shape of meridional channel that gives a strong acceleration to the water. For this reason a new design is needed to keep down this negative phenomenon. 6 Fig3. CFD Domain and Mesh
  • 7. 3.2 Blade Design Velocity distribution is used to track new velocity triangles in order to: • Assure an optimal incidence at inlet keeping in mind higher rotational speed for new runner • Assure an absolute velocity at outlet more axial than possible in order to maximize specific power Blade shape is modified in the basis of CFD results by a trial and error approach. An automatic tool is used to generate 3D blade simply making changes on blade-to-blade plans. In particular midline shape on different blade-to-blade plans and thickness distribution were modified. Different stack angles configurations are evaluated to modify blade loading on runner suction side in order to minimize the velocity peak close to leading edge. This technique led to a very full 3D shape of the blade of new runner. As it can be seen there is a sudden leading edge curvature change that has positive effects on cp. It assumes higher values close to shroud. Total pressure losses due to a non-optimal incidence on the blade are avoid using an elliptical shape for leading edge, instead of circular one used for the original blade. Only a weak deceleration is shown on shroud section that is probably due to a non-optimal runner. B/D ratio because of constraints before described. 7 Fig.4 Original Runner CP contours Fig.5 Cavitation on leading edge of original runner
  • 8. A strong water separation in the original runner is shown. This phenomenon has to be seriously avoided to contain local total pressure losses. For this reason a lot of attention was given to that in the new runner design. In particular changes in new bade profiles were made assure a more regular a more acceleration inside the blade channel like: 1) using a thinner leading edge to avoid strong accelerations around the circular leading edge of the original runner; 2) using a smoother thickness distribution in order to minimize velocity gradients on the new blade; 3) using a fully 3D geometry to modify pressure distribution on pressure and suction sides to reach a more uniform as possible reaction degree along the new blade height. No water separation appears around new blade as it can be seen in Fig 6. 3.3 Cavitation damage repair The Repair of Cavitation pitting Damage on turbines is considered an essential part of a hydro plant maintenance program. Repair of damage turbines from Cavitation can be done by welding which is considered to be most common and most successful method of repairing (Iftikhar et al, 2007)[3]. One promising technique being utilized in recent times is spraying of metallic and non - metallic materials over surface. The cavitation an erosion resistance of thermal spray coatings has been investigated and presented by Santa et.al. (Santa JF et al, 8 Fig.6 Velocity vectors plot for original runner (left) and new one (right)
  • 9. 2009)[4]. Therefore in order to detect and prevent them it is necessary to apply adequate detection techniques that could be easily used in real hydropower plants. An on - line monitoring system is now considered as an important part of modern control system of hydropower plant. Vibration measurement is important with respect to cavitation detection also. Increased vibration level along with abnormal noises is the fingerprints of cavitation. Kumar et al. (2005)[5] investigated that Stellite 6 deposited by high velocity Oxyfuel (HVOF) process had the lowest cavitation rate as compare to 308 stainless steel weld metal. Escaler et al reported that the steady erosion rate of a cermet coating composed of tungsten carbide particles in a cobalt matrix was lower than that of ASTM A743 grade CA6NM martensitic stainless steel. Sugiyama et al. (2005)[6] found that the cavitation erosion resistance of a number of thermally sprayed cermets increased with the reduction of pore density of the samples, which explained that 41 WC/Ni/ Cr/Co flame thermally sprayed coating showed better resistance than the stainless steel and the rest of coatings evaluated. Espitia and Toro (2010)[7] tested experimentally the cavitation resistance of a stainless steel and two flame thermal spray coatings and from their study they observed that the best cavitation resistance was shown by the uncoated ASTM A743 grade CA6NM stainless steel, followed by WC/CoFeNiCr and Cr2O3. Cavitation is defined by Knapp et al. (1970)[8] as the condition when a liquid reaches a state at which vapour cavities are formed and grow due to dynamic-pressure reductions to the vapour pressure of the liquid at constant temperature. The violent process of cavity collapse takes place in a very short time of about several nanoseconds and results in the emission of large amplitude shock-waves, as demonstrated by Avellan F et al, (1989)[9]. Baiter HJ et al, (1986)[10] and Ceccio S Let al, (1991)[11] have shown that the measurement and analysis of hydraulic noise are useful for investigation the feature of cavitation phenomenon. Rasmussen REH et al, (1949) [12], Lichtman J.Z. et al(1964) [13], Wood G.M et al (1949) [14] have used RDA to investigate cavitation. Cavitation repair methods by welding and thermal spray coatings have been well studied and presented by Kumar et al. Cavitation erosion problems are found in turbine runner as well as in other parts of the turbine system as a result of rapid changes in pressure, which lead to the formation of small bubbles or cavities in the liquid. These bubbles collapse near the component’s surface at a high frequency in such a way that the elastic shock wave created is able to cause erosion of the material straight afterwards Rasmussen REH et al, (1949).J.F. Santa et al (2009) studied 9
  • 10. slurry and cavitation erosion resistance of six thermal spray coatings. At present, prevents and reduces the cavitation damage the main measure to include: 1) Correct design hydraulic turbine runner, reduces the hydraulic turbine cavitation coefficient 2) Enhancement manufacture quality, the guarantee leaf blade's geometry shape and the relative position are correct, guarantee leaf blade s urface smooth bright and clean. 3) Uses the anti-cavitation material, reduces the cavitation to destroy, for example uses the stainless steel runner. 4) Calculates the installation elevation of hydraulic turbine correctly. 5) Improves the running condition, avoids the hydraulic turbine for a long time running under the low head and the low load.Usually dose not allow the hydraulic turbine to transport the low output. 6) Prompt maintenance, and pays attention to the patching welding the polish quality, avoids the cavitation the malignant development. 7) Uses the air supplemental equipment to send the air into the draft tube, eliminates possibly has the cavitation oversized vacuum. 4. Conclusions Cavitation is a phenomenon of formation of vapour bubbles in low pressure regions and collapse in high pressure regions, high pressure is produced and metallic surfaces are subjected to high local stresses. Cavitation can present different forms in hydraulic turbines depending on the machine design and the operating condition. As a result, high vibration levels, instabilities and erosion can occur this invalidates the machine operation and cause damage. It is difficult to avoid cavitation completely in hydraulic turbines but can be reduced to economic acceptable level .It is observed that in spite of design changes in the turbine components and providing different materials and coatings to the turbine blades, the improvement in most cases is not quite significant. It is therefore further experimental and theoretical studies for solving the impact of cavitation in hydro turbine is required. 10
  • 11. 5. NOMENCLATURE p q c V (Pa) (kg.m -3 ) (rad.s -1 ) (m.s -1 ) pressure density rotational speed velocity H Q D (m) (m 3 .s -1 ) (m) ( ) net head flow rate runner reference diameter efficiency Cp ( ) pressure coeff. inlet ( ) inlet K ( ) velocity coeff. ref ( ) reference B (m) stay vane height Rs (m) shroud radius 6. REFERENCES 1) Escalera X, Egusquiza E, Farhat M Avellan, F Coussirat M (2006), Detection of cavitation in hydraulic turbines. Mechanical Systems and Signal Processing, 20 983– 1007 Hart D, Whale Review of cavitation–erosion resistant weld surfacing alloys for hydro turbines. www.castolin.com/wCastolin_com/pdf/publications/CaviTec.pd f. 2) Iftikhar, Ahmad, Syed Asif ,Ali and Barkatullah (2007), Elements of an effective repair program for cavitation damages in hydraulic turbines. Information Technology Journal,6(8): 1276-1281. 3) Santa JF, Espitia LA, Blanco JA Romo, Toro SA (2009), Slurry and cavitation erosion resistance of thermal spray coatings. International journal of Wear 267,pp1660-167. 4) Kumar, Ashok, Boy J. Zatorski Ray and Stephenson L.D (2005), Thermal Spray and Weld Repair Alloys for the Repair of Cavitation Damage in Turbines and Pumps: A Technical Note ASM international. 5) Sugiyama K, Nakahama S, Hattori S, Nakano K (2005). Slurry wear and cavitation erosion of thermal-sprayed cermets. Wear 258, 768–75. 6) Espitia L.A and Toro A(2010) Cavitation resistance, microstructure and surface topography of material used for hydraulic components. Tribology international 43,2037- 2045. 7) Knapp R T, Daily JW, Hammitt F.G (1970), Cavitation. McGraw-Hill, New York (1970). 8) Avellan F, Farhat M (1989), Shock pressure generated by cavitation vortex collapse, Proceedings of the Third International Symposium on Cavitation Noise and Erosion in Fluid Systems, FED. ASME Winter Annual Meeting, San Francisco, CA, 88,pp .119–125. 9) Baiter HJ (1986), On different notions of cavitation noise and what they imply, Proceedings of the International Symposium on Cavitation and Multiphase Flow, FED ASME 45,pp .107–118. 11
  • 12. 10) Ceccio SL, Brennen CE (1991), Observations of the dynamics and acoustics of travelling bubble cavitation, Journal of Fluid Mechanics, 233,pp . 633-660 11) Rasmussen REH (1949), Experiment on flow with cavitation in water mixed with air. Trans. Danish Academy of Tech. Sci., No 1. 12) Lichtman JZ, Weingram ER (1964), The use of rotating disc apparatus in determining cavitation erosion resistance materials, In: ASME Symposium on Cavitation Research Facilities and Techniques, 185-196. 13) Wood G M , Knudsen LK and Hammitt FG (1967), Cavitation damage studies with rotating disc in water, Journal of Basic Engineering,pp . 98-110. 12