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International Journal of Engineering Research and Development
e-ISSN: 2278-067X, p-ISSN: 2278-800X, www.ijerd.com
Volume 6, Issue7 (April 2013), PP.74-79

    Modeling and Analysis of 2nd Stage HP Stator Blade using
                             FEA
                                Jonna. Swathi1, Tippa Bhimasankara Rao2
             1
              PG Student, Department of Mechanical Engineering, Nimra Institute of Science and Technology
   2
       HOD, Department of Mechanical Engineering, Nimra Institute of Science and Technology, Vijayawada, AP, INDIA


       Abstract:- Advances in materials, cooling technology and design techniques have allowed MS7001 turbines to
       be operated with higher firing temperatures and airflows, which result in higher turbine output and efficiency.
       Improvements in combustion technology have also made significantly lower emission levels a reality. Advanced
       design technology is usually introduced for new unit production and subsequently applied to customer-operated
       gas turbines by a gas turbine uprate program. Many new uprate programs have been introduced for installed GE-
       designed heavy duty gas turbines, including the MS7001A, B, C, E, and EA models. Each uprate program
       provides increased output, improved heat rate and efficiency, improved reliability, reduced maintenance costs,
       longer inspection intervals, and longer expected parts lives. Additional benefits result because uprates are based on
       current production components parts that are not specifically unique to older machines and thus readily available.
       This Project deals with about 2nd Stage HP stator blade. 3D model of blade is done CATIA by taking point data,
       Meshed in Hyper mesh and Analysis done in ANSYS. Structural analysis is carried on Blade as per given load
       condition by varying material properties. Study of process making of Blade is studied.

       Keywords: -Rotor, Stator.

                                                I.        INTRODUCTION
            Today‟s requirements of advanced steam turbine design place special emphasis on the design simplicity, fewer
parts, enhanced reliability and maintainability. Such requirements, when coupled with the ever-increasing demand on the
higher efficiency level for both existing and new design concepts, offer the most challenging problem to the design
engineers. Modern turbine-design entails integrated program system, which accounts for many of the above design
requirements from the very beginning of a project and allows the best compromise satisfying the specified constraints to be
reached. The principal target is to reduce the design-cycle-time quite drastically, and to enable the designers to perform
conceptual studies for any desired ranges of design parameters whilst maintaining the highest level of design quality and
reliability. Regarding fine-tuning in the final design stage, hitherto the benefits taken from advances in computational fluid
dynamic (CFD) to boost the stage efficiency are quite significant. The improvements were, however, mainly achieved in the
standard aerodynamic flow path design to the point where further potential for efficiency improvement on such issues seems
to be relatively small. However, as part of continuing technological advance towards the design of new generations of highly
efficient turbines, significant efforts have to be concentrated on a number of design details on components placed outside the
standard blading flow channel where still some room is left for further efficiency improvement.

                              II.       TYPES OF TURBINES AND DESCRPTION
There are two types of turbines:
        HP TURBINE: The axial flow, two-stage reaction type HP Turbine was designed to deliver high efficiency over a
         broad power range. It consists of two turbine wheels, first and second stage turbine nozzle assemblies, and turbine
         casings. Both stages of HPT nozzles are air cooled (convection and film) by compressor discharge air flowing
         through each vane. Both stages of HPT buckets are cooled by compressor air flowing through the dovetail and
         shanks into the buckets.

        LP TURBINE: The power turbine uses the same general arrangement, materials and mechanical structure as that
         of the GE Oil & Gas PGT25+ model whose installed fleet consists of over 80 units and more than 500,000
         operating hours. The flow-path profile and airfoils were redesigned to allow 20% higher airflow than the PGT25+.
             Turbine uprate packages have been introduced because of strong customer interest in extending intervals
   between maintenance, improving efficiency, and increasing output. The main items that must be considered when
   evaluating a unit for an advanced technology uprate option are as follows
        Performance Improvements (Output/Heat Rate)
         Maintenance/Inspection Interval Extensions
        Availability/Reliability Improvements
        Emissions Reduction/Regulatory Agencies
        Life Extension
This paper covers new uprates that have been successfully developed using engineered components developed for current
new unit production. Uprate benefits are discussed, including turbine performance and maintenance improvements. Each

                                                                74
Modeling and Analysis of 2nd Stage HP Stator Blade using FEA

owner of GE heavy-duty gas turbines should evaluate the economics of the various uprates for the specific application. In
many cases, the economic evaluation will justify one of the available uprates at the next major overhaul and, in some cases,
earlier. When more power generating capacity is required, uprating can provide a cost-effective alternative to purchasing and
installing new units. At the same time, the improved parts can provide extended life to the existing turbine.




        Fig.1 the MS7001EA simple-cycle single-shaft, heavy-duty gas turbine.,Fig.2 7EA HGP and rotor materials
Many improvements have been made to the current production 7EA in the above figure that can be utilized in older fielded
units. Combustion systems, turbine buckets, nozzles, and compressor components have been redesigned using improved
materials that increase component life and reduce repairs. While GE moves forward to address marketplace needs, it will
continue to improve its products and serve as a world-class high quality supplier of power generation equipment. As a leader
in the gas turbine industry, GE is committed to applying the latest available technology parts to the large installed base of
GE-designed gas turbines.

             III.      THE MAJOR COMPONENTS AND SYSTEMS OF A GAS TURBINE
                                    GENERATOR SET INCLUDE
        Gas turbine
        Reduction-drive gear box
        Generator
        Start system
        Fuel system
        Lubricating oil system
        Turbotronic for control system
        On skid electrical wiring
        Skip with drip pads
        Piping and manifolds

  IV.       PROCEDURE STEPS IN MANUFACTURING OF 2ND STAGE CSB, HPC BLADE
        Billet: At this stage stamping of billet as per 104.03TY16 with cold rolled aerofoil. Profile allowance is
         proportional in all the sections with coefficient deformations. As per the technology additionally equidistant in
         A1-A1 section on concave by 0.1mm and on convex by 0.4mm with smooth transition up to 0.1mm on concave
         and convex in the final section.
        Milling: It is used to mill the neck and aerofoil tip by maintaining dimensions.
        Centering: Centering has to be done on the blade profile by dividing in to sections along vertical and horizontal
         direction , then carry out the centering of the faces of the part simultaneously by maintaining desired dimensions .
        Inspection: Check the aerofoil profile in the device pompkol-4 with block by randomly selection of 10% of parts
         of the beverage. Displacement of aerofoil profile parallel to x-x axis in section A1 and A2 0.25 mm max in all
         other sections 0.35mm max. Difference in edges thickness in sections A1 and A2 0.1mm max.
        Filling: Here we are using cero band filling by placing the scaling gasket on the neck of the blade. Load the part in
         the cartridge and fasten it. Carry out the filling of part by alloy BУД. Cooling of cartridge in air until the hardening
         of alloy BУД. Carryout the subsequent cooling in the running waste. Disassemble the cartridge and take out the
         briquette.
        Turning: Turning is used for root preparation; it has to be done on the face of the neck of the blade .Here we have
         to take in to consider of non-perpendicularity surface relative to surface B 0.03max. Face run-out of surface
         relative to B0.05mm max. Ensure by machines in one section. Displacement of placement π from the design
         portions parallel to axis X and Y 0.1mm max and non-perpendicularity of surface π relative to the plane X –Y at
         the length of 100 mm -0.01mm max. Before starting the centers of fixture and tailstock of machine up to 0.02mm
         along the mandrel.
        Smelting: It has to be done by putting the briquettes in the basket and lower in the tub fill it hot water. After the
         full removal of BУДA.. Take out the part and wash the parts in the hot water. Blow off the part by air until full
         removal of moisture put the blade in the container. Now again milling has to be done on both sides of surfaces of
         shroud from concave and convex sides flush with aerofoil profile by maintain the dimensions. Projection of
         machined surfaces relative basic profile should be within the limits of 0.1…0.3mm. Digging is not permitted.
        Trimming: It is nothing but removal of unwanted materials of edges and burrs. Check the quality of re-sharpening
         of cutting surfaces of die. Inspection should be carried out before starting the operation, the contour of aerofoil
         should be cut incase of quality of surface of parts not matching with inspection etalon i.e. finishing of edges and

                                                              75
Modeling and Analysis of 2nd Stage HP Stator Blade using FEA

    excess of burr. Carry out the re-sharpening of cutting surfaces. Radius of indicator E6015-6906. Let at „0‟ at any
    section of blade at inlet and outlet edges should not be more than + or – 0.1mm. On the end of face of pair of
    blades not more than -0.2mm.
   Fatigue test: This instruction gives the order for the periodic inspection on fatigue for the finally manufactured
    aerofoil of the compressor blades of the engine AL31FP. This instruction determines the order of test procedure
    for checking the stability of manufacturing technology of the blades. The technology documentation for
    conducting the fatigue tests is developed according to the given instruction.

                                V.          MODELLING AND ANALYSIS




           Fig.3 Model of HP stator blade                        Table.1 Inputs given for the model




             Fig.4 Meshing of model in ANSYS                      Fig.5 Applying loads in ANSYS

                                VI.         RESULTS AND DISCUSSIONS
   Static Structural Analysis of blade




                                            Table.2 static analysis of blade

   CASE 1: For Alloy-Steel




                     Fig.6 Stress values                         Fig.7 Deformation values

   CASE 2: For Ni-Alloy




                                                       76
Modeling and Analysis of 2nd Stage HP Stator Blade using FEA

                       Fig.8 Stress values                        Fig.9 Deformation values
       CASE 3: For Titanium




                          Fig.10 Stress values                 Fig.11 Deformation values

       Harmonic Analysis of blade




                                         Table.3 Harmonic analysis of blade




Fig.12 CASE 1: For Alloy-Steel           Fig.13 CASE 2: For Ni-Alloy              Fig.14 CASE 3: For Titanium

       Modal Analysis of the blade
       Case 1: For Alloy Steel




                                  Table.4 Natural frequencies of Alloy steel blade




             Fig.15, 16, 17, 18, 19&20      Different mode shapes of the Alloy steel blade

                                                        77
Modeling and Analysis of 2nd Stage HP Stator Blade using FEA


   Case 2: For Ni-Alloy




      Table.5 Natural frequencies of Ni-Alloy blade            Fig.21 Graph for modal analysis




                  Fig.22, 23, 24, 25, 26&27    Different mode shapes of the Ni-Alloy blade

   Case 3: For Titanium




Table.6 Natural frequencies of Titanium-Alloy blade             Fig.28 Graph for modal analysis




                                                      78
Modeling and Analysis of 2nd Stage HP Stator Blade using FEA




                      Fig.29, 30, 31, 32, 33&34 Different mode shapes of the Titanium-Alloy blade

         Results obtained




                                                  Table.7 Obtained results

                                                 VII.      CONCLUSION
By doing the analysis of 2nd stage hp stator blade with different materials we can observe that the stress induced is more in
Alloy-Steel compared to other two materials of Ni-Alloy & Titanium by considering the cost and availability of materials
Alloy-steel is more preferable than Titanium or we may use Ni-Alloy instead of Alloy-Steel. And the deformation is
observed more in Titanium compared to Alloy-Steel & Ni-Alloy so by seeing the results after analysis Alloy-Steel is best
material for 2nd stage hp stator blade and further we may use Ni-Alloy instead of it.

                                                 VIII.     REFERENCES
  [1].    Beltran, A.M., Pepe, J.J., Schilke, P.W., “Advanced Gas Turbines Materials and Coatings,” GER-3569E, GE
          Energy, August 1994.
  [2].     Brandt, D.E., and Wesorick, R.R., “GE Gas Turbine Design Philosophy,” GER-3434D, GE Energy, August 1944.
  [3].     Brooks, F.J., “GE Gas Turbine Performance Characteristics,” GER- 3567E, GE Energy, August 1994.
  [4].    Davis, L.B., “Dry Low NOx Combustion Systems for Heavy-Duty Gas Turbines,” GER-3568E, GE Energy,
          August 1994.
  [5].     Johnston, J.R., Robert, “Performance and Reliability Improvements for Heavy-Duty Gas Turbines,” GER-3571E,
          GE Energy, August 1994.
  [6].     Junge, R.M., “The MS7001E Heavy-Duty Gas Turbine,” Gas Turbine Engineering and Manufacturing
          Department, Gas Turbine Division, Schenectady, NY, 1979.
  [7].     Kelley, L.A., Luessen, H.P., “Uprate Options for the MS7001 and MS9001 Gas Turbines,” GER-3667, GE
          Energy, 1991.
  [8].    P. LAMPART1, Ł. HIRT2 on Complex multidisciplinary optimization of turbine blading systems.
  [9].    R. Greim, S. Havakechian on Recent advances in the aerodynamic design of steam turbine components.
  [10].   JERZY SWIRYDCZUK on UNSTEADY PERFORMANCE OF AN HP TURBINE STAGE OPTIMISED FOR
          STEADY FLOW CONDITIONS.
  [11].   Menter F R 1994 AIAA Journal 32 1598.




                                                            79

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  • 1. International Journal of Engineering Research and Development e-ISSN: 2278-067X, p-ISSN: 2278-800X, www.ijerd.com Volume 6, Issue7 (April 2013), PP.74-79 Modeling and Analysis of 2nd Stage HP Stator Blade using FEA Jonna. Swathi1, Tippa Bhimasankara Rao2 1 PG Student, Department of Mechanical Engineering, Nimra Institute of Science and Technology 2 HOD, Department of Mechanical Engineering, Nimra Institute of Science and Technology, Vijayawada, AP, INDIA Abstract:- Advances in materials, cooling technology and design techniques have allowed MS7001 turbines to be operated with higher firing temperatures and airflows, which result in higher turbine output and efficiency. Improvements in combustion technology have also made significantly lower emission levels a reality. Advanced design technology is usually introduced for new unit production and subsequently applied to customer-operated gas turbines by a gas turbine uprate program. Many new uprate programs have been introduced for installed GE- designed heavy duty gas turbines, including the MS7001A, B, C, E, and EA models. Each uprate program provides increased output, improved heat rate and efficiency, improved reliability, reduced maintenance costs, longer inspection intervals, and longer expected parts lives. Additional benefits result because uprates are based on current production components parts that are not specifically unique to older machines and thus readily available. This Project deals with about 2nd Stage HP stator blade. 3D model of blade is done CATIA by taking point data, Meshed in Hyper mesh and Analysis done in ANSYS. Structural analysis is carried on Blade as per given load condition by varying material properties. Study of process making of Blade is studied. Keywords: -Rotor, Stator. I. INTRODUCTION Today‟s requirements of advanced steam turbine design place special emphasis on the design simplicity, fewer parts, enhanced reliability and maintainability. Such requirements, when coupled with the ever-increasing demand on the higher efficiency level for both existing and new design concepts, offer the most challenging problem to the design engineers. Modern turbine-design entails integrated program system, which accounts for many of the above design requirements from the very beginning of a project and allows the best compromise satisfying the specified constraints to be reached. The principal target is to reduce the design-cycle-time quite drastically, and to enable the designers to perform conceptual studies for any desired ranges of design parameters whilst maintaining the highest level of design quality and reliability. Regarding fine-tuning in the final design stage, hitherto the benefits taken from advances in computational fluid dynamic (CFD) to boost the stage efficiency are quite significant. The improvements were, however, mainly achieved in the standard aerodynamic flow path design to the point where further potential for efficiency improvement on such issues seems to be relatively small. However, as part of continuing technological advance towards the design of new generations of highly efficient turbines, significant efforts have to be concentrated on a number of design details on components placed outside the standard blading flow channel where still some room is left for further efficiency improvement. II. TYPES OF TURBINES AND DESCRPTION There are two types of turbines:  HP TURBINE: The axial flow, two-stage reaction type HP Turbine was designed to deliver high efficiency over a broad power range. It consists of two turbine wheels, first and second stage turbine nozzle assemblies, and turbine casings. Both stages of HPT nozzles are air cooled (convection and film) by compressor discharge air flowing through each vane. Both stages of HPT buckets are cooled by compressor air flowing through the dovetail and shanks into the buckets.  LP TURBINE: The power turbine uses the same general arrangement, materials and mechanical structure as that of the GE Oil & Gas PGT25+ model whose installed fleet consists of over 80 units and more than 500,000 operating hours. The flow-path profile and airfoils were redesigned to allow 20% higher airflow than the PGT25+. Turbine uprate packages have been introduced because of strong customer interest in extending intervals between maintenance, improving efficiency, and increasing output. The main items that must be considered when evaluating a unit for an advanced technology uprate option are as follows  Performance Improvements (Output/Heat Rate)  Maintenance/Inspection Interval Extensions  Availability/Reliability Improvements  Emissions Reduction/Regulatory Agencies  Life Extension This paper covers new uprates that have been successfully developed using engineered components developed for current new unit production. Uprate benefits are discussed, including turbine performance and maintenance improvements. Each 74
  • 2. Modeling and Analysis of 2nd Stage HP Stator Blade using FEA owner of GE heavy-duty gas turbines should evaluate the economics of the various uprates for the specific application. In many cases, the economic evaluation will justify one of the available uprates at the next major overhaul and, in some cases, earlier. When more power generating capacity is required, uprating can provide a cost-effective alternative to purchasing and installing new units. At the same time, the improved parts can provide extended life to the existing turbine. Fig.1 the MS7001EA simple-cycle single-shaft, heavy-duty gas turbine.,Fig.2 7EA HGP and rotor materials Many improvements have been made to the current production 7EA in the above figure that can be utilized in older fielded units. Combustion systems, turbine buckets, nozzles, and compressor components have been redesigned using improved materials that increase component life and reduce repairs. While GE moves forward to address marketplace needs, it will continue to improve its products and serve as a world-class high quality supplier of power generation equipment. As a leader in the gas turbine industry, GE is committed to applying the latest available technology parts to the large installed base of GE-designed gas turbines. III. THE MAJOR COMPONENTS AND SYSTEMS OF A GAS TURBINE GENERATOR SET INCLUDE  Gas turbine  Reduction-drive gear box  Generator  Start system  Fuel system  Lubricating oil system  Turbotronic for control system  On skid electrical wiring  Skip with drip pads  Piping and manifolds IV. PROCEDURE STEPS IN MANUFACTURING OF 2ND STAGE CSB, HPC BLADE  Billet: At this stage stamping of billet as per 104.03TY16 with cold rolled aerofoil. Profile allowance is proportional in all the sections with coefficient deformations. As per the technology additionally equidistant in A1-A1 section on concave by 0.1mm and on convex by 0.4mm with smooth transition up to 0.1mm on concave and convex in the final section.  Milling: It is used to mill the neck and aerofoil tip by maintaining dimensions.  Centering: Centering has to be done on the blade profile by dividing in to sections along vertical and horizontal direction , then carry out the centering of the faces of the part simultaneously by maintaining desired dimensions .  Inspection: Check the aerofoil profile in the device pompkol-4 with block by randomly selection of 10% of parts of the beverage. Displacement of aerofoil profile parallel to x-x axis in section A1 and A2 0.25 mm max in all other sections 0.35mm max. Difference in edges thickness in sections A1 and A2 0.1mm max.  Filling: Here we are using cero band filling by placing the scaling gasket on the neck of the blade. Load the part in the cartridge and fasten it. Carry out the filling of part by alloy BУД. Cooling of cartridge in air until the hardening of alloy BУД. Carryout the subsequent cooling in the running waste. Disassemble the cartridge and take out the briquette.  Turning: Turning is used for root preparation; it has to be done on the face of the neck of the blade .Here we have to take in to consider of non-perpendicularity surface relative to surface B 0.03max. Face run-out of surface relative to B0.05mm max. Ensure by machines in one section. Displacement of placement π from the design portions parallel to axis X and Y 0.1mm max and non-perpendicularity of surface π relative to the plane X –Y at the length of 100 mm -0.01mm max. Before starting the centers of fixture and tailstock of machine up to 0.02mm along the mandrel.  Smelting: It has to be done by putting the briquettes in the basket and lower in the tub fill it hot water. After the full removal of BУДA.. Take out the part and wash the parts in the hot water. Blow off the part by air until full removal of moisture put the blade in the container. Now again milling has to be done on both sides of surfaces of shroud from concave and convex sides flush with aerofoil profile by maintain the dimensions. Projection of machined surfaces relative basic profile should be within the limits of 0.1…0.3mm. Digging is not permitted.  Trimming: It is nothing but removal of unwanted materials of edges and burrs. Check the quality of re-sharpening of cutting surfaces of die. Inspection should be carried out before starting the operation, the contour of aerofoil should be cut incase of quality of surface of parts not matching with inspection etalon i.e. finishing of edges and 75
  • 3. Modeling and Analysis of 2nd Stage HP Stator Blade using FEA excess of burr. Carry out the re-sharpening of cutting surfaces. Radius of indicator E6015-6906. Let at „0‟ at any section of blade at inlet and outlet edges should not be more than + or – 0.1mm. On the end of face of pair of blades not more than -0.2mm.  Fatigue test: This instruction gives the order for the periodic inspection on fatigue for the finally manufactured aerofoil of the compressor blades of the engine AL31FP. This instruction determines the order of test procedure for checking the stability of manufacturing technology of the blades. The technology documentation for conducting the fatigue tests is developed according to the given instruction. V. MODELLING AND ANALYSIS Fig.3 Model of HP stator blade Table.1 Inputs given for the model Fig.4 Meshing of model in ANSYS Fig.5 Applying loads in ANSYS VI. RESULTS AND DISCUSSIONS  Static Structural Analysis of blade Table.2 static analysis of blade  CASE 1: For Alloy-Steel Fig.6 Stress values Fig.7 Deformation values  CASE 2: For Ni-Alloy 76
  • 4. Modeling and Analysis of 2nd Stage HP Stator Blade using FEA Fig.8 Stress values Fig.9 Deformation values  CASE 3: For Titanium Fig.10 Stress values Fig.11 Deformation values  Harmonic Analysis of blade Table.3 Harmonic analysis of blade Fig.12 CASE 1: For Alloy-Steel Fig.13 CASE 2: For Ni-Alloy Fig.14 CASE 3: For Titanium  Modal Analysis of the blade  Case 1: For Alloy Steel Table.4 Natural frequencies of Alloy steel blade Fig.15, 16, 17, 18, 19&20 Different mode shapes of the Alloy steel blade 77
  • 5. Modeling and Analysis of 2nd Stage HP Stator Blade using FEA  Case 2: For Ni-Alloy Table.5 Natural frequencies of Ni-Alloy blade Fig.21 Graph for modal analysis Fig.22, 23, 24, 25, 26&27 Different mode shapes of the Ni-Alloy blade  Case 3: For Titanium Table.6 Natural frequencies of Titanium-Alloy blade Fig.28 Graph for modal analysis 78
  • 6. Modeling and Analysis of 2nd Stage HP Stator Blade using FEA Fig.29, 30, 31, 32, 33&34 Different mode shapes of the Titanium-Alloy blade  Results obtained Table.7 Obtained results VII. CONCLUSION By doing the analysis of 2nd stage hp stator blade with different materials we can observe that the stress induced is more in Alloy-Steel compared to other two materials of Ni-Alloy & Titanium by considering the cost and availability of materials Alloy-steel is more preferable than Titanium or we may use Ni-Alloy instead of Alloy-Steel. And the deformation is observed more in Titanium compared to Alloy-Steel & Ni-Alloy so by seeing the results after analysis Alloy-Steel is best material for 2nd stage hp stator blade and further we may use Ni-Alloy instead of it. VIII. REFERENCES [1]. Beltran, A.M., Pepe, J.J., Schilke, P.W., “Advanced Gas Turbines Materials and Coatings,” GER-3569E, GE Energy, August 1994. [2]. Brandt, D.E., and Wesorick, R.R., “GE Gas Turbine Design Philosophy,” GER-3434D, GE Energy, August 1944. [3]. Brooks, F.J., “GE Gas Turbine Performance Characteristics,” GER- 3567E, GE Energy, August 1994. [4]. Davis, L.B., “Dry Low NOx Combustion Systems for Heavy-Duty Gas Turbines,” GER-3568E, GE Energy, August 1994. [5]. Johnston, J.R., Robert, “Performance and Reliability Improvements for Heavy-Duty Gas Turbines,” GER-3571E, GE Energy, August 1994. [6]. Junge, R.M., “The MS7001E Heavy-Duty Gas Turbine,” Gas Turbine Engineering and Manufacturing Department, Gas Turbine Division, Schenectady, NY, 1979. [7]. Kelley, L.A., Luessen, H.P., “Uprate Options for the MS7001 and MS9001 Gas Turbines,” GER-3667, GE Energy, 1991. [8]. P. LAMPART1, Ł. HIRT2 on Complex multidisciplinary optimization of turbine blading systems. [9]. R. Greim, S. Havakechian on Recent advances in the aerodynamic design of steam turbine components. [10]. JERZY SWIRYDCZUK on UNSTEADY PERFORMANCE OF AN HP TURBINE STAGE OPTIMISED FOR STEADY FLOW CONDITIONS. [11]. Menter F R 1994 AIAA Journal 32 1598. 79