SlideShare a Scribd company logo
Velocity triangle for Moving Blade of an impulse
turbine
1. Consider a steam jet entering
a curved blade after leaving
the nozzle at C.
2. Now let the jet glides over
the inside surface and leaves
the blade at D, as shown in
fig.
3. Now let us draw the velocity
triangles at inlet and outlet
tips of the moving blade, as
shown in fig.
4. The inlet triangle of velocities
represented by AEC and
outlet triangle by AFD.
5. The relations between inlet
and outlet velocity triangle is
Vr= Vr1.
Fig.: Velocity triangle of an impulse turbine
Velocity triangle for Moving Blade of an impulse
turbine
Let
Vb = Liner velocity of the moving
blade(AB)
V= Absolute velocity of steam
entering the moving blade(AC),
Vr= Relative velocity of jet to the
moving blade(BC). It is the vectorial
difference between Vb and V.
Vf= Velocity of flow at entrance of the
moving blade. It is the vertical
component of V.
Vw=Velocity of whirl at entrance of
the moving blade. It is horizontal
component of V.
θ= Angle which the relative velocity of
jet to the moving blade(Vr) makes
with the direction of motion of the
blade.
α= Angle with the direction of
motion of the blade at which the jet
enterns the blade.
V1, Vr1, Vf1, Vw1, β, ϕ = Corresponding
values at exit of the moving blade.
Fig.: Velocity triangle of an impulse
turbine
Power produced by an Impulse
Turbine
Consider an impulse turbine working under the action of a steam jet.
Let,
m = Mass of steam flowing through the turbine in Kg./s
Now, Change in the velocity of whirl in m/s = Vw+ Vw1 [Vw – (– Vw1 ), when Vw1 is
negative]
We know that according to the Newton’s second law of motion, force in the
direction of motion of the blades
Fx = Mass of steam flowing per second × Change in the velocity of whirl
= m(Vw+ Vw1)
and work done in the direction of motion of the blades
= Force × distance
= m(Vw+ Vw1)× Vb N-m/s
So,
Power produced by the turbine P= m(Vw+ Vw1)× Vb watts. [ 1 N-m/s = 1 watt]
Power produced by an Impulse
Turbine
Similarly, we can find out the axial thrust on the wheel is due to the
difference of velocities of flow at inlet and outlet.
So, axial thrust on the wheel
FY = Mass of steam flowing per second × Change in the velocity of flow
= m(Vf - Vf1)
* The value of Vw1 is taken as negative because of the opposite direction of
Vw with respect to the blade motion. If Vw1 is in the same direction with
respect to the blade motion, then Vw1 is taken as positive.
** The ratio of Vr1 to Vr is known as blade velocity coefficient or friction
factor, denoted by K
So, K =
Reaction Turbine
1. In a reaction turbine, the steam enters the wheel under
pressure and flows over the blades.
2. The steam, while gliding, propels the blades and make
them to move.
3. As a matter of fact, the turbine runner is rotated by the
reactive force of steam jets.
4. It has the following main components:
i. Casing
ii. Guide mechanism
iii. Runner
iv. Draft tube
1. Casing
1. It is an air-tight metallic case.
2. In it the steam from the boiler, under a high pressure
and temperature, is distributed around the fixed
blades(guide mechanism).
3. It is designed in such a way that the steam enters the
fixed blades with a uniform velocity.
2. Guide mechanism
It is a mechanism, made up with the help of guide
blades, in the form of a wheel and generally fixed to
the casing.
It is designed properly in order to:
1. Allow the steam to enter the runner without shock.
2. Allow the required quantity of steam to enter the
turbine.
3.Runner
1. It is consists of runner blades fixed to a shaft or rings.
2. The blades, fixed to the runner, are properly
designed in order to allow the steam to enter and
leave the runner without shock.
3. The surface of the turbine runner is made very
smooth to minimise the frictional losses.
4. It is, generally, cast in one piece but sometimes made
up of separate steel plates welded together.
4.Draft tube
The steam, after passing through the runner, flows
into the condenser through a tube called draft tube.
Velocity triangle for moving blades of a reaction turbine
1. Consider steam, in the
form of a jet, entering
the curved blade at C.
2. Let the jet glides over
the inside surface and
leaves the blade at D as
shown in fig.
3. Now let us draw the
velocity triangles at
inlet and outlet tips of
the moving blade as
shown in fig.
Fig.: Velocity triangle for a reaction
turbine
Velocity triangle for moving blades of a reaction
turbine
Let
Vb = Liner velocity of the moving
blade(BA)
V= Absolute velocity of steam entering
the moving blade(BC),
Vr = Relative velocity of jet to the moving
blade(AC). It is the vectorial difference
between Vb and V.
Vf = Velocity of flow at entrance of the
moving blade EC. It is the vertical
component of V.
Vw =Velocity of whirl at entrance of the
moving blade BE. It is horizontal
component of V.
Θ = Angle which the relative velocity of
jet to the moving blade(Vr) makes with
the direction of motion of the blade.
α= Angle with the direction of motion of
the blade at which the jet enters the
blade.
V1, Vr1, Vf1, Vw1, β, ϕ = Corresponding
values at exit of the moving blade. Fig.: Velocity triangle for a reaction
turbine
Power produced by a Reaction Turbine
Consider a reaction turbine working under the action of a steam jet.
Let,
m= Mass of steam flowing through the turbine in Kg./s,
Change in the velocity of whirl in m/s = Vw+ Vw1 [Vw – (– Vw1 ), when Vw1 is
negative]
We know that according to the Newton’s second law of motion, force in the
direction of motion of the blades
Fx = Mass of steam flowing per second × Change in the velocity of whirl
= m(Vw+ Vw1)
and work done in the direction of motion of the blades
= Force × distance
= m(Vw+ Vw1)× Vb N-m/s
So,
Power produced by the turbine P= m(Vw+ Vw1)× Vb watts. [ 1 N-m/s = 1 watt]
Power produced by a Reaction Turbine
Similarly, we can find out the axial thrust on the wheel is due to the
difference of velocities of flow at inlet and outlet.
So, axial thrust on the wheel
FY = Mass of steam flowing per second × Change in the velocity of flow
= m(Vf - Vf1)
* The value of Vw1 is taken as negative because of the opposite direction of
Vw with respect to the blade motion. If Vw1 is in the same direction with
respect to the blade motion, then Vw1 is taken as positive.
** The ratio of Vr1 to Vr is known as blade velocity coefficient or friction
factor, denoted by K
So, K =
Assignment: Explain
Velocity Triangle for Moving Blade of an impulse Turbine

More Related Content

What's hot

Rankine Cycle & How to increase its efficiency
Rankine Cycle & How to increase its efficiencyRankine Cycle & How to increase its efficiency
Rankine Cycle & How to increase its efficiency
Raja Dolat
 

What's hot (20)

compressor notes.pdf
compressor notes.pdfcompressor notes.pdf
compressor notes.pdf
 
Pelton Wheel Turbine Part 2
Pelton Wheel Turbine Part 2Pelton Wheel Turbine Part 2
Pelton Wheel Turbine Part 2
 
Turbomachinery me-5001
Turbomachinery me-5001Turbomachinery me-5001
Turbomachinery me-5001
 
Steam turbines, Shankarappa K
Steam turbines, Shankarappa KSteam turbines, Shankarappa K
Steam turbines, Shankarappa K
 
Nozzle
NozzleNozzle
Nozzle
 
Hydraulic Turbines
Hydraulic TurbinesHydraulic Turbines
Hydraulic Turbines
 
Types of turbine & thier application
Types of turbine & thier applicationTypes of turbine & thier application
Types of turbine & thier application
 
Design of flywheel
Design of flywheelDesign of flywheel
Design of flywheel
 
Steam turbine
Steam turbineSteam turbine
Steam turbine
 
Hydraulic turbines
Hydraulic turbinesHydraulic turbines
Hydraulic turbines
 
Gas turbine 2 - regeneration and intercooling
Gas turbine   2 - regeneration and intercoolingGas turbine   2 - regeneration and intercooling
Gas turbine 2 - regeneration and intercooling
 
Impact of jet
Impact of jetImpact of jet
Impact of jet
 
Kaplan Turbine - Design and Numerical
Kaplan Turbine - Design and NumericalKaplan Turbine - Design and Numerical
Kaplan Turbine - Design and Numerical
 
Reaction turbbine
Reaction turbbine Reaction turbbine
Reaction turbbine
 
Rankine Cycle & How to increase its efficiency
Rankine Cycle & How to increase its efficiencyRankine Cycle & How to increase its efficiency
Rankine Cycle & How to increase its efficiency
 
Flywheel
Flywheel  Flywheel
Flywheel
 
ME6601 - DESIGN OF TRANSMISSION SYSTEM NOTES AND QUESTION BANK
ME6601 - DESIGN OF TRANSMISSION SYSTEM NOTES AND QUESTION BANK ME6601 - DESIGN OF TRANSMISSION SYSTEM NOTES AND QUESTION BANK
ME6601 - DESIGN OF TRANSMISSION SYSTEM NOTES AND QUESTION BANK
 
Axial Flow Compressor.
Axial Flow Compressor. Axial Flow Compressor.
Axial Flow Compressor.
 
Positive Displacement Pumps
Positive Displacement PumpsPositive Displacement Pumps
Positive Displacement Pumps
 
ME6503 - DESIGN OF MACHINE ELEMENTS UNIT - V NOTES
ME6503 - DESIGN OF MACHINE ELEMENTS UNIT - V NOTESME6503 - DESIGN OF MACHINE ELEMENTS UNIT - V NOTES
ME6503 - DESIGN OF MACHINE ELEMENTS UNIT - V NOTES
 

Similar to Velocity Triangle for Moving Blade of an impulse Turbine

Ppt (steam turbines) (2)
Ppt (steam turbines) (2)Ppt (steam turbines) (2)
Ppt (steam turbines) (2)
KPSBrar1
 
T2b - Momentum of Fluids 2023.pptx
T2b - Momentum of Fluids 2023.pptxT2b - Momentum of Fluids 2023.pptx
T2b - Momentum of Fluids 2023.pptx
Keith Vaugh
 
hydraulicmachines-200422173920.pdf
hydraulicmachines-200422173920.pdfhydraulicmachines-200422173920.pdf
hydraulicmachines-200422173920.pdf
ChandreshTripathi6
 
T2c - Centrifugal Pumps, turbines and Impeller calculations 2023.pptx
T2c - Centrifugal Pumps, turbines and Impeller calculations 2023.pptxT2c - Centrifugal Pumps, turbines and Impeller calculations 2023.pptx
T2c - Centrifugal Pumps, turbines and Impeller calculations 2023.pptx
Keith Vaugh
 
Aerodynamic,rotor design and rotor performance of horizontal axis wind turbin...
Aerodynamic,rotor design and rotor performance of horizontal axis wind turbin...Aerodynamic,rotor design and rotor performance of horizontal axis wind turbin...
Aerodynamic,rotor design and rotor performance of horizontal axis wind turbin...
Sarmad Adnan
 

Similar to Velocity Triangle for Moving Blade of an impulse Turbine (20)

Steam turbine
Steam turbineSteam turbine
Steam turbine
 
Ppt (steam turbines) (2)
Ppt (steam turbines) (2)Ppt (steam turbines) (2)
Ppt (steam turbines) (2)
 
Theory of Turbomachines aaaaaaaaaaaa.ppt
Theory of Turbomachines aaaaaaaaaaaa.pptTheory of Turbomachines aaaaaaaaaaaa.ppt
Theory of Turbomachines aaaaaaaaaaaa.ppt
 
steam turbine ppt for mechanical students
steam turbine ppt for mechanical studentssteam turbine ppt for mechanical students
steam turbine ppt for mechanical students
 
T2b - Momentum of Fluids 2023.pptx
T2b - Momentum of Fluids 2023.pptxT2b - Momentum of Fluids 2023.pptx
T2b - Momentum of Fluids 2023.pptx
 
Propulsion 2 notes
Propulsion 2 notesPropulsion 2 notes
Propulsion 2 notes
 
hydraulicmachines-200422173920.pdf
hydraulicmachines-200422173920.pdfhydraulicmachines-200422173920.pdf
hydraulicmachines-200422173920.pdf
 
Hydraulic machines
Hydraulic machinesHydraulic machines
Hydraulic machines
 
Flow of Steam through Nozzels
Flow of Steam through NozzelsFlow of Steam through Nozzels
Flow of Steam through Nozzels
 
Impact of Free Jets
Impact of Free JetsImpact of Free Jets
Impact of Free Jets
 
centrifugal compressor.pptx
centrifugal compressor.pptxcentrifugal compressor.pptx
centrifugal compressor.pptx
 
Fluid MechanicsVortex flow and impulse momentum
Fluid MechanicsVortex flow and impulse momentumFluid MechanicsVortex flow and impulse momentum
Fluid MechanicsVortex flow and impulse momentum
 
T2c - Centrifugal Pumps, turbines and Impeller calculations 2023.pptx
T2c - Centrifugal Pumps, turbines and Impeller calculations 2023.pptxT2c - Centrifugal Pumps, turbines and Impeller calculations 2023.pptx
T2c - Centrifugal Pumps, turbines and Impeller calculations 2023.pptx
 
Turbines
TurbinesTurbines
Turbines
 
Banked turn and its effects on Stall speed of an Airplane
Banked turn and its effects on Stall speed of an AirplaneBanked turn and its effects on Stall speed of an Airplane
Banked turn and its effects on Stall speed of an Airplane
 
Aerodynamic,rotor design and rotor performance of horizontal axis wind turbin...
Aerodynamic,rotor design and rotor performance of horizontal axis wind turbin...Aerodynamic,rotor design and rotor performance of horizontal axis wind turbin...
Aerodynamic,rotor design and rotor performance of horizontal axis wind turbin...
 
Lecture 1 steam turbines.ppt
Lecture 1 steam turbines.pptLecture 1 steam turbines.ppt
Lecture 1 steam turbines.ppt
 
Aerofoil.pptx
Aerofoil.pptxAerofoil.pptx
Aerofoil.pptx
 
Steam Turbine and Condenser
Steam Turbine and CondenserSteam Turbine and Condenser
Steam Turbine and Condenser
 
Circular
CircularCircular
Circular
 

More from Showhanur Rahman

More from Showhanur Rahman (9)

Pump
PumpPump
Pump
 
refrigerator and Air Condition
refrigerator and Air Conditionrefrigerator and Air Condition
refrigerator and Air Condition
 
Thermodynamic cycles
Thermodynamic cyclesThermodynamic cycles
Thermodynamic cycles
 
Scavenging ,Detonation, ignition system, lubrication
Scavenging ,Detonation, ignition system, lubricationScavenging ,Detonation, ignition system, lubrication
Scavenging ,Detonation, ignition system, lubrication
 
IC Engines basic
IC Engines basicIC Engines basic
IC Engines basic
 
modern steam turbine
 modern steam turbine modern steam turbine
modern steam turbine
 
boiler mountings & Accessories
boiler mountings & Accessoriesboiler mountings & Accessories
boiler mountings & Accessories
 
different type of boiler & combustion in boilers
different type of boiler & combustion in boilersdifferent type of boiler & combustion in boilers
different type of boiler & combustion in boilers
 
boiler & classification of boiler
boiler & classification of boilerboiler & classification of boiler
boiler & classification of boiler
 

Recently uploaded

RS Khurmi Machine Design Clutch and Brake Exercise Numerical Solutions
RS Khurmi Machine Design Clutch and Brake Exercise Numerical SolutionsRS Khurmi Machine Design Clutch and Brake Exercise Numerical Solutions
RS Khurmi Machine Design Clutch and Brake Exercise Numerical Solutions
Atif Razi
 
Online blood donation management system project.pdf
Online blood donation management system project.pdfOnline blood donation management system project.pdf
Online blood donation management system project.pdf
Kamal Acharya
 
Laundry management system project report.pdf
Laundry management system project report.pdfLaundry management system project report.pdf
Laundry management system project report.pdf
Kamal Acharya
 
CFD Simulation of By-pass Flow in a HRSG module by R&R Consult.pptx
CFD Simulation of By-pass Flow in a HRSG module by R&R Consult.pptxCFD Simulation of By-pass Flow in a HRSG module by R&R Consult.pptx
CFD Simulation of By-pass Flow in a HRSG module by R&R Consult.pptx
R&R Consult
 

Recently uploaded (20)

Quality defects in TMT Bars, Possible causes and Potential Solutions.
Quality defects in TMT Bars, Possible causes and Potential Solutions.Quality defects in TMT Bars, Possible causes and Potential Solutions.
Quality defects in TMT Bars, Possible causes and Potential Solutions.
 
Introduction to Machine Learning Unit-5 Notes for II-II Mechanical Engineering
Introduction to Machine Learning Unit-5 Notes for II-II Mechanical EngineeringIntroduction to Machine Learning Unit-5 Notes for II-II Mechanical Engineering
Introduction to Machine Learning Unit-5 Notes for II-II Mechanical Engineering
 
RS Khurmi Machine Design Clutch and Brake Exercise Numerical Solutions
RS Khurmi Machine Design Clutch and Brake Exercise Numerical SolutionsRS Khurmi Machine Design Clutch and Brake Exercise Numerical Solutions
RS Khurmi Machine Design Clutch and Brake Exercise Numerical Solutions
 
Online resume builder management system project report.pdf
Online resume builder management system project report.pdfOnline resume builder management system project report.pdf
Online resume builder management system project report.pdf
 
2024 DevOps Pro Europe - Growing at the edge
2024 DevOps Pro Europe - Growing at the edge2024 DevOps Pro Europe - Growing at the edge
2024 DevOps Pro Europe - Growing at the edge
 
Event Management System Vb Net Project Report.pdf
Event Management System Vb Net  Project Report.pdfEvent Management System Vb Net  Project Report.pdf
Event Management System Vb Net Project Report.pdf
 
A CASE STUDY ON ONLINE TICKET BOOKING SYSTEM PROJECT.pdf
A CASE STUDY ON ONLINE TICKET BOOKING SYSTEM PROJECT.pdfA CASE STUDY ON ONLINE TICKET BOOKING SYSTEM PROJECT.pdf
A CASE STUDY ON ONLINE TICKET BOOKING SYSTEM PROJECT.pdf
 
A case study of cinema management system project report..pdf
A case study of cinema management system project report..pdfA case study of cinema management system project report..pdf
A case study of cinema management system project report..pdf
 
Construction method of steel structure space frame .pptx
Construction method of steel structure space frame .pptxConstruction method of steel structure space frame .pptx
Construction method of steel structure space frame .pptx
 
Democratizing Fuzzing at Scale by Abhishek Arya
Democratizing Fuzzing at Scale by Abhishek AryaDemocratizing Fuzzing at Scale by Abhishek Arya
Democratizing Fuzzing at Scale by Abhishek Arya
 
Peek implant persentation - Copy (1).pdf
Peek implant persentation - Copy (1).pdfPeek implant persentation - Copy (1).pdf
Peek implant persentation - Copy (1).pdf
 
Introduction to Casting Processes in Manufacturing
Introduction to Casting Processes in ManufacturingIntroduction to Casting Processes in Manufacturing
Introduction to Casting Processes in Manufacturing
 
ASME IX(9) 2007 Full Version .pdf
ASME IX(9)  2007 Full Version       .pdfASME IX(9)  2007 Full Version       .pdf
ASME IX(9) 2007 Full Version .pdf
 
Explosives Industry manufacturing process.pdf
Explosives Industry manufacturing process.pdfExplosives Industry manufacturing process.pdf
Explosives Industry manufacturing process.pdf
 
Online blood donation management system project.pdf
Online blood donation management system project.pdfOnline blood donation management system project.pdf
Online blood donation management system project.pdf
 
Courier management system project report.pdf
Courier management system project report.pdfCourier management system project report.pdf
Courier management system project report.pdf
 
Laundry management system project report.pdf
Laundry management system project report.pdfLaundry management system project report.pdf
Laundry management system project report.pdf
 
KIT-601 Lecture Notes-UNIT-4.pdf Frequent Itemsets and Clustering
KIT-601 Lecture Notes-UNIT-4.pdf Frequent Itemsets and ClusteringKIT-601 Lecture Notes-UNIT-4.pdf Frequent Itemsets and Clustering
KIT-601 Lecture Notes-UNIT-4.pdf Frequent Itemsets and Clustering
 
CFD Simulation of By-pass Flow in a HRSG module by R&R Consult.pptx
CFD Simulation of By-pass Flow in a HRSG module by R&R Consult.pptxCFD Simulation of By-pass Flow in a HRSG module by R&R Consult.pptx
CFD Simulation of By-pass Flow in a HRSG module by R&R Consult.pptx
 
ONLINE CAR SERVICING SYSTEM PROJECT REPORT.pdf
ONLINE CAR SERVICING SYSTEM PROJECT REPORT.pdfONLINE CAR SERVICING SYSTEM PROJECT REPORT.pdf
ONLINE CAR SERVICING SYSTEM PROJECT REPORT.pdf
 

Velocity Triangle for Moving Blade of an impulse Turbine

  • 1.
  • 2. Velocity triangle for Moving Blade of an impulse turbine 1. Consider a steam jet entering a curved blade after leaving the nozzle at C. 2. Now let the jet glides over the inside surface and leaves the blade at D, as shown in fig. 3. Now let us draw the velocity triangles at inlet and outlet tips of the moving blade, as shown in fig. 4. The inlet triangle of velocities represented by AEC and outlet triangle by AFD. 5. The relations between inlet and outlet velocity triangle is Vr= Vr1. Fig.: Velocity triangle of an impulse turbine
  • 3. Velocity triangle for Moving Blade of an impulse turbine Let Vb = Liner velocity of the moving blade(AB) V= Absolute velocity of steam entering the moving blade(AC), Vr= Relative velocity of jet to the moving blade(BC). It is the vectorial difference between Vb and V. Vf= Velocity of flow at entrance of the moving blade. It is the vertical component of V. Vw=Velocity of whirl at entrance of the moving blade. It is horizontal component of V. θ= Angle which the relative velocity of jet to the moving blade(Vr) makes with the direction of motion of the blade. α= Angle with the direction of motion of the blade at which the jet enterns the blade. V1, Vr1, Vf1, Vw1, β, ϕ = Corresponding values at exit of the moving blade. Fig.: Velocity triangle of an impulse turbine
  • 4. Power produced by an Impulse Turbine Consider an impulse turbine working under the action of a steam jet. Let, m = Mass of steam flowing through the turbine in Kg./s Now, Change in the velocity of whirl in m/s = Vw+ Vw1 [Vw – (– Vw1 ), when Vw1 is negative] We know that according to the Newton’s second law of motion, force in the direction of motion of the blades Fx = Mass of steam flowing per second × Change in the velocity of whirl = m(Vw+ Vw1) and work done in the direction of motion of the blades = Force × distance = m(Vw+ Vw1)× Vb N-m/s So, Power produced by the turbine P= m(Vw+ Vw1)× Vb watts. [ 1 N-m/s = 1 watt]
  • 5. Power produced by an Impulse Turbine Similarly, we can find out the axial thrust on the wheel is due to the difference of velocities of flow at inlet and outlet. So, axial thrust on the wheel FY = Mass of steam flowing per second × Change in the velocity of flow = m(Vf - Vf1) * The value of Vw1 is taken as negative because of the opposite direction of Vw with respect to the blade motion. If Vw1 is in the same direction with respect to the blade motion, then Vw1 is taken as positive. ** The ratio of Vr1 to Vr is known as blade velocity coefficient or friction factor, denoted by K So, K =
  • 6. Reaction Turbine 1. In a reaction turbine, the steam enters the wheel under pressure and flows over the blades. 2. The steam, while gliding, propels the blades and make them to move. 3. As a matter of fact, the turbine runner is rotated by the reactive force of steam jets. 4. It has the following main components: i. Casing ii. Guide mechanism iii. Runner iv. Draft tube
  • 7. 1. Casing 1. It is an air-tight metallic case. 2. In it the steam from the boiler, under a high pressure and temperature, is distributed around the fixed blades(guide mechanism). 3. It is designed in such a way that the steam enters the fixed blades with a uniform velocity.
  • 8. 2. Guide mechanism It is a mechanism, made up with the help of guide blades, in the form of a wheel and generally fixed to the casing. It is designed properly in order to: 1. Allow the steam to enter the runner without shock. 2. Allow the required quantity of steam to enter the turbine.
  • 9. 3.Runner 1. It is consists of runner blades fixed to a shaft or rings. 2. The blades, fixed to the runner, are properly designed in order to allow the steam to enter and leave the runner without shock. 3. The surface of the turbine runner is made very smooth to minimise the frictional losses. 4. It is, generally, cast in one piece but sometimes made up of separate steel plates welded together.
  • 10. 4.Draft tube The steam, after passing through the runner, flows into the condenser through a tube called draft tube.
  • 11.
  • 12. Velocity triangle for moving blades of a reaction turbine 1. Consider steam, in the form of a jet, entering the curved blade at C. 2. Let the jet glides over the inside surface and leaves the blade at D as shown in fig. 3. Now let us draw the velocity triangles at inlet and outlet tips of the moving blade as shown in fig. Fig.: Velocity triangle for a reaction turbine
  • 13. Velocity triangle for moving blades of a reaction turbine Let Vb = Liner velocity of the moving blade(BA) V= Absolute velocity of steam entering the moving blade(BC), Vr = Relative velocity of jet to the moving blade(AC). It is the vectorial difference between Vb and V. Vf = Velocity of flow at entrance of the moving blade EC. It is the vertical component of V. Vw =Velocity of whirl at entrance of the moving blade BE. It is horizontal component of V. Θ = Angle which the relative velocity of jet to the moving blade(Vr) makes with the direction of motion of the blade. α= Angle with the direction of motion of the blade at which the jet enters the blade. V1, Vr1, Vf1, Vw1, β, ϕ = Corresponding values at exit of the moving blade. Fig.: Velocity triangle for a reaction turbine
  • 14. Power produced by a Reaction Turbine Consider a reaction turbine working under the action of a steam jet. Let, m= Mass of steam flowing through the turbine in Kg./s, Change in the velocity of whirl in m/s = Vw+ Vw1 [Vw – (– Vw1 ), when Vw1 is negative] We know that according to the Newton’s second law of motion, force in the direction of motion of the blades Fx = Mass of steam flowing per second × Change in the velocity of whirl = m(Vw+ Vw1) and work done in the direction of motion of the blades = Force × distance = m(Vw+ Vw1)× Vb N-m/s So, Power produced by the turbine P= m(Vw+ Vw1)× Vb watts. [ 1 N-m/s = 1 watt]
  • 15. Power produced by a Reaction Turbine Similarly, we can find out the axial thrust on the wheel is due to the difference of velocities of flow at inlet and outlet. So, axial thrust on the wheel FY = Mass of steam flowing per second × Change in the velocity of flow = m(Vf - Vf1) * The value of Vw1 is taken as negative because of the opposite direction of Vw with respect to the blade motion. If Vw1 is in the same direction with respect to the blade motion, then Vw1 is taken as positive. ** The ratio of Vr1 to Vr is known as blade velocity coefficient or friction factor, denoted by K So, K =