SlideShare a Scribd company logo
COMPRESSIVE FLOWS
C.A. RUWANPATHIRANA
ENG/16/0251
RELATIONSHIP BETWEEN MACH NUMBER AND
FLOW TYPE
2
TYPES OF WAVES
• When high velocity fluid flow meets an obstruction on its original
path, it will generate three types of waves to change its path.
• Normal shock waves
• Oblique shock waves
• Expansion waves
3
FORMATION OF OBLIQUE SHOCK WAVES
• Oblique shock wave is an inclined shock wave with respect to the
upstream flow directions.
• Occurs when supersonic flow meets a corner that effectively turns the
flow into itself compresses.
4
FORMATION OF OBLIQUE SHOCK WAVES
5
• After the oblique shock wave streamlines are going to deflect
uniformly.
• Consists of a very thin region across which
nearly discontinuous changes in the thermodynamic properties of a
gas occur.
6
PROPERTIES OF OBLIQUE SHOCK WAVES
• Mach number decreases to a less supersonic Mach number.
• Total pressure decreases.
• But pressure loss is lesser than a normal shock wave.
• Total energy loss is also less than normal shock wave.
• Due to heat of compression to the atmosphere.
• Static pressure and density will increase.
7
OBLIQUE SHOCK WAVE THEORY
8
• M1 – Pre-shock Mach number
• M2 – Post-shock Mach number
• β - Oblique shock angle
• θ - Corner angle/ wedge angle
• Mn1 – Pre-shock Mach number
of normal shock
• Mn2 – Post-shock Mach number
of normal shock
OBLIQUE SHOCK WAVE THEORY
• 𝑀𝑛1 = 𝑀1 × 𝑆𝑖𝑛(𝛽)
• 𝑀2 =
𝑀𝑛2
𝑆𝑖𝑛 (𝛽−𝜃)
•
9
OBLIQUE SHOCK WAVE THEORY
10
OBLIQUE SHOCK WAVE THEORY
• It is also possible to take the same answers with using the θ-β-M
diagram and shock property tables.
• If M2 is a supersonic Mach number, then the shock will be a weak
shock wave.
• If M2 is a subsonic Mach number, then the shock will be a strong
shock wave.
11
OBLIQUE SHOCK WAVE THEORY
• Weak shock waves will generate when flow geometries are open to
the atmosphere.
Ex: outside of the aircraft (nose area, wing tips….)
• Strong shock waves will generate normally at the confined
geometries.
Ex : inlet nozzle
12
OBLIQUE SHOCK WAVE THEORY
• Strong shock waves are required when flow needs match with the
downstream conditions.
13
OBLIQUE SHOCK WAVE THEORY
• For any given Mach number, there is a maximum value for the wedge
angle.
• If current wedge angle is higher than the maximum wedge angle,
then the oblique shock will detached from the surface.
• It is known as “detached bow shock wave”.
14
SHOCK INTERACTIONS
15
INTERSECTION OF RIGHT & LEFT RUNNING
SHOCK WAVES
16
INTERSECTION OF TWO LEFT RUNNING
SHOCK WAVES
17
SUPERSONIC FLOW OVER WEDGES & CONES
WEDGE (2D) CONE (3D)
Stronger oblique shock waves Weaker oblique shock waves
Wedge surface pressure is high Cone surface pressure is less
Post shock streamlines are straight.
(parallel to the deflection)
Streamlines are curved above the
cone surface.
18
APPLICATIONS OF OBLIQUE SHOCK WAVES
• For supersonic engine inlets
• Reduce velocity through series of oblique
shock waves
• It decreases the total energy losses when
Compared with normal shock wave.
19
CONCLUSION
• Types of shock waves.
• Formation of oblique shock waves.
• Property changes across an oblique shock wave.
• Equations which governs the oblique shock waves.
• Limitations of oblique shock waves.
• Shock interactions.
• Applications of the oblique shock waves.
20
ANY QUESTIONS???
21
THANK YOU
22

More Related Content

What's hot

Wind Tunnel Ex
Wind Tunnel ExWind Tunnel Ex
Wind Tunnel Ex
Chetan Patil
 
Boundary layer theory
Boundary layer theoryBoundary layer theory
Boundary layer theory
Manthan Chavda
 
Fluid kinematics
Fluid kinematics Fluid kinematics
Fluid kinematics
Shabin George
 
Chapter 1. introduction to fluid mechanics
Chapter 1. introduction to fluid mechanicsChapter 1. introduction to fluid mechanics
Chapter 1. introduction to fluid mechanics
kidanemariam tesera
 
Calibration of Venturi and Orifice Meters
Calibration of Venturi and Orifice MetersCalibration of Venturi and Orifice Meters
Calibration of Venturi and Orifice Meters
Nicely Jane Eleccion
 
Types of drag
Types of dragTypes of drag
Types of drag
dekkalavinay
 
Sandeep fm ppt
Sandeep fm pptSandeep fm ppt
Sandeep fm ppt
sandeepsharma1912
 
Shock wave 1
Shock wave  1Shock wave  1
Shock wave 1
AnshulKumar164
 
NPSH and pump cavitation
NPSH and pump cavitationNPSH and pump cavitation
NPSH and pump cavitation
Brian Gongol
 
Fluid Mechanics - Fluid Pressure and its measurement
Fluid Mechanics - Fluid Pressure and its measurementFluid Mechanics - Fluid Pressure and its measurement
Fluid Mechanics - Fluid Pressure and its measurement
Malla Reddy University
 
Mach Number and Shock waves
Mach Number and Shock waves Mach Number and Shock waves
Mach Number and Shock waves
Shashank Kapoor
 
A STUDY ON VISCOUS FLOW (With A Special Focus On Boundary Layer And Its Effects)
A STUDY ON VISCOUS FLOW (With A Special Focus On Boundary Layer And Its Effects)A STUDY ON VISCOUS FLOW (With A Special Focus On Boundary Layer And Its Effects)
A STUDY ON VISCOUS FLOW (With A Special Focus On Boundary Layer And Its Effects)
Rajibul Alam
 
Impact of jet
Impact of jetImpact of jet
Impact of jet
krishna khot
 
Shock polar
Shock polarShock polar
Shock polar
abhijeet sheelvant
 
Fluid Mechanics 2 ppt
Fluid Mechanics 2 pptFluid Mechanics 2 ppt
Fluid Mechanics 2 ppt
Md. Sumon Ahmed
 
Fluid mechanics
Fluid mechanicsFluid mechanics
Fluid mechanics
preet yadav
 
FLUID MECHANICS
FLUID MECHANICSFLUID MECHANICS
FLUID MECHANICS
VairamaniMech
 
Boundary layer
Boundary layerBoundary layer
Boundary layer
Vishal Chaudhari
 
Operation of reciprocating pump
Operation of reciprocating pumpOperation of reciprocating pump
Operation of reciprocating pump
vaibhav tailor
 
Boundary layer
Boundary layerBoundary layer
Boundary layer
Mohamed Yasser
 

What's hot (20)

Wind Tunnel Ex
Wind Tunnel ExWind Tunnel Ex
Wind Tunnel Ex
 
Boundary layer theory
Boundary layer theoryBoundary layer theory
Boundary layer theory
 
Fluid kinematics
Fluid kinematics Fluid kinematics
Fluid kinematics
 
Chapter 1. introduction to fluid mechanics
Chapter 1. introduction to fluid mechanicsChapter 1. introduction to fluid mechanics
Chapter 1. introduction to fluid mechanics
 
Calibration of Venturi and Orifice Meters
Calibration of Venturi and Orifice MetersCalibration of Venturi and Orifice Meters
Calibration of Venturi and Orifice Meters
 
Types of drag
Types of dragTypes of drag
Types of drag
 
Sandeep fm ppt
Sandeep fm pptSandeep fm ppt
Sandeep fm ppt
 
Shock wave 1
Shock wave  1Shock wave  1
Shock wave 1
 
NPSH and pump cavitation
NPSH and pump cavitationNPSH and pump cavitation
NPSH and pump cavitation
 
Fluid Mechanics - Fluid Pressure and its measurement
Fluid Mechanics - Fluid Pressure and its measurementFluid Mechanics - Fluid Pressure and its measurement
Fluid Mechanics - Fluid Pressure and its measurement
 
Mach Number and Shock waves
Mach Number and Shock waves Mach Number and Shock waves
Mach Number and Shock waves
 
A STUDY ON VISCOUS FLOW (With A Special Focus On Boundary Layer And Its Effects)
A STUDY ON VISCOUS FLOW (With A Special Focus On Boundary Layer And Its Effects)A STUDY ON VISCOUS FLOW (With A Special Focus On Boundary Layer And Its Effects)
A STUDY ON VISCOUS FLOW (With A Special Focus On Boundary Layer And Its Effects)
 
Impact of jet
Impact of jetImpact of jet
Impact of jet
 
Shock polar
Shock polarShock polar
Shock polar
 
Fluid Mechanics 2 ppt
Fluid Mechanics 2 pptFluid Mechanics 2 ppt
Fluid Mechanics 2 ppt
 
Fluid mechanics
Fluid mechanicsFluid mechanics
Fluid mechanics
 
FLUID MECHANICS
FLUID MECHANICSFLUID MECHANICS
FLUID MECHANICS
 
Boundary layer
Boundary layerBoundary layer
Boundary layer
 
Operation of reciprocating pump
Operation of reciprocating pumpOperation of reciprocating pump
Operation of reciprocating pump
 
Boundary layer
Boundary layerBoundary layer
Boundary layer
 

Similar to Compressive flows

High Speed Aerodynamics
High Speed AerodynamicsHigh Speed Aerodynamics
High Speed Aerodynamics
Suhail Ahmed
 
EE8701-High Voltage Engineering (1).pptx
EE8701-High Voltage Engineering (1).pptxEE8701-High Voltage Engineering (1).pptx
EE8701-High Voltage Engineering (1).pptx
sai karthick
 
Mechanical oscillation
Mechanical oscillationMechanical oscillation
Mechanical oscillation
Anand Azad
 
ULTRASOUND 1.pptx
ULTRASOUND 1.pptxULTRASOUND 1.pptx
ULTRASOUND 1.pptx
juhi499425
 
1.2 reflection Fizik SPM
1.2 reflection Fizik SPM1.2 reflection Fizik SPM
1.2 reflection Fizik SPM
Cikgu Fizik
 
Corona
CoronaCorona
Vibration damping
Vibration dampingVibration damping
Vibration damping
Prashant Sharma
 
Vibration damping
Vibration dampingVibration damping
Vibration damping
Prashant Sharma
 
Circuit Breaker : Types
Circuit Breaker : TypesCircuit Breaker : Types
Circuit Breaker : Types
Ridwanul Hoque
 
Understanding_lightning_protection.pptx
Understanding_lightning_protection.pptxUnderstanding_lightning_protection.pptx
Understanding_lightning_protection.pptx
Satish Pydimarla
 
Armature Reaction
Armature ReactionArmature Reaction
Armature Reaction
Vishal Thakur
 
Neutral grounding sra1 n
Neutral grounding  sra1 nNeutral grounding  sra1 n
Neutral grounding sra1 n
AYODHYA SRAVAN KUMAR
 
Circuit breaker(encrypted)
Circuit breaker(encrypted)Circuit breaker(encrypted)
Circuit breaker(encrypted)
Rohini Haridas
 
DAMPED VIBRATIONS and RESONANCE.pptx
DAMPED VIBRATIONS and RESONANCE.pptxDAMPED VIBRATIONS and RESONANCE.pptx
DAMPED VIBRATIONS and RESONANCE.pptx
Samirsinh Parmar
 
Surge Arresters construction and working
Surge Arresters construction and workingSurge Arresters construction and working
Surge Arresters construction and working
Muhammad Faisal Ikram
 
study of lightning arrester
study of lightning arresterstudy of lightning arrester
study of lightning arrester
Malikasad thaheem
 
Circuit Breaker
Circuit BreakerCircuit Breaker
Circuit Breaker
gopalakrishnan385714
 
UNIT IV Circuit Breaker.pptx
UNIT IV Circuit Breaker.pptxUNIT IV Circuit Breaker.pptx
UNIT IV Circuit Breaker.pptx
gopalakrishnan385714
 
Earthing
EarthingEarthing
Spiral & coaxial generator
Spiral & coaxial generatorSpiral & coaxial generator
Spiral & coaxial generator
Jamil Abdullah
 

Similar to Compressive flows (20)

High Speed Aerodynamics
High Speed AerodynamicsHigh Speed Aerodynamics
High Speed Aerodynamics
 
EE8701-High Voltage Engineering (1).pptx
EE8701-High Voltage Engineering (1).pptxEE8701-High Voltage Engineering (1).pptx
EE8701-High Voltage Engineering (1).pptx
 
Mechanical oscillation
Mechanical oscillationMechanical oscillation
Mechanical oscillation
 
ULTRASOUND 1.pptx
ULTRASOUND 1.pptxULTRASOUND 1.pptx
ULTRASOUND 1.pptx
 
1.2 reflection Fizik SPM
1.2 reflection Fizik SPM1.2 reflection Fizik SPM
1.2 reflection Fizik SPM
 
Corona
CoronaCorona
Corona
 
Vibration damping
Vibration dampingVibration damping
Vibration damping
 
Vibration damping
Vibration dampingVibration damping
Vibration damping
 
Circuit Breaker : Types
Circuit Breaker : TypesCircuit Breaker : Types
Circuit Breaker : Types
 
Understanding_lightning_protection.pptx
Understanding_lightning_protection.pptxUnderstanding_lightning_protection.pptx
Understanding_lightning_protection.pptx
 
Armature Reaction
Armature ReactionArmature Reaction
Armature Reaction
 
Neutral grounding sra1 n
Neutral grounding  sra1 nNeutral grounding  sra1 n
Neutral grounding sra1 n
 
Circuit breaker(encrypted)
Circuit breaker(encrypted)Circuit breaker(encrypted)
Circuit breaker(encrypted)
 
DAMPED VIBRATIONS and RESONANCE.pptx
DAMPED VIBRATIONS and RESONANCE.pptxDAMPED VIBRATIONS and RESONANCE.pptx
DAMPED VIBRATIONS and RESONANCE.pptx
 
Surge Arresters construction and working
Surge Arresters construction and workingSurge Arresters construction and working
Surge Arresters construction and working
 
study of lightning arrester
study of lightning arresterstudy of lightning arrester
study of lightning arrester
 
Circuit Breaker
Circuit BreakerCircuit Breaker
Circuit Breaker
 
UNIT IV Circuit Breaker.pptx
UNIT IV Circuit Breaker.pptxUNIT IV Circuit Breaker.pptx
UNIT IV Circuit Breaker.pptx
 
Earthing
EarthingEarthing
Earthing
 
Spiral & coaxial generator
Spiral & coaxial generatorSpiral & coaxial generator
Spiral & coaxial generator
 

Recently uploaded

Unit-III-ELECTROCHEMICAL STORAGE DEVICES.ppt
Unit-III-ELECTROCHEMICAL STORAGE DEVICES.pptUnit-III-ELECTROCHEMICAL STORAGE DEVICES.ppt
Unit-III-ELECTROCHEMICAL STORAGE DEVICES.ppt
KrishnaveniKrishnara1
 
Seminar on Distillation study-mafia.pptx
Seminar on Distillation study-mafia.pptxSeminar on Distillation study-mafia.pptx
Seminar on Distillation study-mafia.pptx
Madan Karki
 
4. Mosca vol I -Fisica-Tipler-5ta-Edicion-Vol-1.pdf
4. Mosca vol I -Fisica-Tipler-5ta-Edicion-Vol-1.pdf4. Mosca vol I -Fisica-Tipler-5ta-Edicion-Vol-1.pdf
4. Mosca vol I -Fisica-Tipler-5ta-Edicion-Vol-1.pdf
Gino153088
 
Data Driven Maintenance | UReason Webinar
Data Driven Maintenance | UReason WebinarData Driven Maintenance | UReason Webinar
Data Driven Maintenance | UReason Webinar
UReason
 
哪里办理(csu毕业证书)查尔斯特大学毕业证硕士学历原版一模一样
哪里办理(csu毕业证书)查尔斯特大学毕业证硕士学历原版一模一样哪里办理(csu毕业证书)查尔斯特大学毕业证硕士学历原版一模一样
哪里办理(csu毕业证书)查尔斯特大学毕业证硕士学历原版一模一样
insn4465
 
Manufacturing Process of molasses based distillery ppt.pptx
Manufacturing Process of molasses based distillery ppt.pptxManufacturing Process of molasses based distillery ppt.pptx
Manufacturing Process of molasses based distillery ppt.pptx
Madan Karki
 
Data Control Language.pptx Data Control Language.pptx
Data Control Language.pptx Data Control Language.pptxData Control Language.pptx Data Control Language.pptx
Data Control Language.pptx Data Control Language.pptx
ramrag33
 
Engineering Drawings Lecture Detail Drawings 2014.pdf
Engineering Drawings Lecture Detail Drawings 2014.pdfEngineering Drawings Lecture Detail Drawings 2014.pdf
Engineering Drawings Lecture Detail Drawings 2014.pdf
abbyasa1014
 
CEC 352 - SATELLITE COMMUNICATION UNIT 1
CEC 352 - SATELLITE COMMUNICATION UNIT 1CEC 352 - SATELLITE COMMUNICATION UNIT 1
CEC 352 - SATELLITE COMMUNICATION UNIT 1
PKavitha10
 
AI assisted telemedicine KIOSK for Rural India.pptx
AI assisted telemedicine KIOSK for Rural India.pptxAI assisted telemedicine KIOSK for Rural India.pptx
AI assisted telemedicine KIOSK for Rural India.pptx
architagupta876
 
Design and optimization of ion propulsion drone
Design and optimization of ion propulsion droneDesign and optimization of ion propulsion drone
Design and optimization of ion propulsion drone
bjmsejournal
 
Computational Engineering IITH Presentation
Computational Engineering IITH PresentationComputational Engineering IITH Presentation
Computational Engineering IITH Presentation
co23btech11018
 
Embedded machine learning-based road conditions and driving behavior monitoring
Embedded machine learning-based road conditions and driving behavior monitoringEmbedded machine learning-based road conditions and driving behavior monitoring
Embedded machine learning-based road conditions and driving behavior monitoring
IJECEIAES
 
Applications of artificial Intelligence in Mechanical Engineering.pdf
Applications of artificial Intelligence in Mechanical Engineering.pdfApplications of artificial Intelligence in Mechanical Engineering.pdf
Applications of artificial Intelligence in Mechanical Engineering.pdf
Atif Razi
 
People as resource Grade IX.pdf minimala
People as resource Grade IX.pdf minimalaPeople as resource Grade IX.pdf minimala
People as resource Grade IX.pdf minimala
riddhimaagrawal986
 
An Introduction to the Compiler Designss
An Introduction to the Compiler DesignssAn Introduction to the Compiler Designss
An Introduction to the Compiler Designss
ElakkiaU
 
artificial intelligence and data science contents.pptx
artificial intelligence and data science contents.pptxartificial intelligence and data science contents.pptx
artificial intelligence and data science contents.pptx
GauravCar
 
Comparative analysis between traditional aquaponics and reconstructed aquapon...
Comparative analysis between traditional aquaponics and reconstructed aquapon...Comparative analysis between traditional aquaponics and reconstructed aquapon...
Comparative analysis between traditional aquaponics and reconstructed aquapon...
bijceesjournal
 
Rainfall intensity duration frequency curve statistical analysis and modeling...
Rainfall intensity duration frequency curve statistical analysis and modeling...Rainfall intensity duration frequency curve statistical analysis and modeling...
Rainfall intensity duration frequency curve statistical analysis and modeling...
bijceesjournal
 
Material for memory and display system h
Material for memory and display system hMaterial for memory and display system h
Material for memory and display system h
gowrishankartb2005
 

Recently uploaded (20)

Unit-III-ELECTROCHEMICAL STORAGE DEVICES.ppt
Unit-III-ELECTROCHEMICAL STORAGE DEVICES.pptUnit-III-ELECTROCHEMICAL STORAGE DEVICES.ppt
Unit-III-ELECTROCHEMICAL STORAGE DEVICES.ppt
 
Seminar on Distillation study-mafia.pptx
Seminar on Distillation study-mafia.pptxSeminar on Distillation study-mafia.pptx
Seminar on Distillation study-mafia.pptx
 
4. Mosca vol I -Fisica-Tipler-5ta-Edicion-Vol-1.pdf
4. Mosca vol I -Fisica-Tipler-5ta-Edicion-Vol-1.pdf4. Mosca vol I -Fisica-Tipler-5ta-Edicion-Vol-1.pdf
4. Mosca vol I -Fisica-Tipler-5ta-Edicion-Vol-1.pdf
 
Data Driven Maintenance | UReason Webinar
Data Driven Maintenance | UReason WebinarData Driven Maintenance | UReason Webinar
Data Driven Maintenance | UReason Webinar
 
哪里办理(csu毕业证书)查尔斯特大学毕业证硕士学历原版一模一样
哪里办理(csu毕业证书)查尔斯特大学毕业证硕士学历原版一模一样哪里办理(csu毕业证书)查尔斯特大学毕业证硕士学历原版一模一样
哪里办理(csu毕业证书)查尔斯特大学毕业证硕士学历原版一模一样
 
Manufacturing Process of molasses based distillery ppt.pptx
Manufacturing Process of molasses based distillery ppt.pptxManufacturing Process of molasses based distillery ppt.pptx
Manufacturing Process of molasses based distillery ppt.pptx
 
Data Control Language.pptx Data Control Language.pptx
Data Control Language.pptx Data Control Language.pptxData Control Language.pptx Data Control Language.pptx
Data Control Language.pptx Data Control Language.pptx
 
Engineering Drawings Lecture Detail Drawings 2014.pdf
Engineering Drawings Lecture Detail Drawings 2014.pdfEngineering Drawings Lecture Detail Drawings 2014.pdf
Engineering Drawings Lecture Detail Drawings 2014.pdf
 
CEC 352 - SATELLITE COMMUNICATION UNIT 1
CEC 352 - SATELLITE COMMUNICATION UNIT 1CEC 352 - SATELLITE COMMUNICATION UNIT 1
CEC 352 - SATELLITE COMMUNICATION UNIT 1
 
AI assisted telemedicine KIOSK for Rural India.pptx
AI assisted telemedicine KIOSK for Rural India.pptxAI assisted telemedicine KIOSK for Rural India.pptx
AI assisted telemedicine KIOSK for Rural India.pptx
 
Design and optimization of ion propulsion drone
Design and optimization of ion propulsion droneDesign and optimization of ion propulsion drone
Design and optimization of ion propulsion drone
 
Computational Engineering IITH Presentation
Computational Engineering IITH PresentationComputational Engineering IITH Presentation
Computational Engineering IITH Presentation
 
Embedded machine learning-based road conditions and driving behavior monitoring
Embedded machine learning-based road conditions and driving behavior monitoringEmbedded machine learning-based road conditions and driving behavior monitoring
Embedded machine learning-based road conditions and driving behavior monitoring
 
Applications of artificial Intelligence in Mechanical Engineering.pdf
Applications of artificial Intelligence in Mechanical Engineering.pdfApplications of artificial Intelligence in Mechanical Engineering.pdf
Applications of artificial Intelligence in Mechanical Engineering.pdf
 
People as resource Grade IX.pdf minimala
People as resource Grade IX.pdf minimalaPeople as resource Grade IX.pdf minimala
People as resource Grade IX.pdf minimala
 
An Introduction to the Compiler Designss
An Introduction to the Compiler DesignssAn Introduction to the Compiler Designss
An Introduction to the Compiler Designss
 
artificial intelligence and data science contents.pptx
artificial intelligence and data science contents.pptxartificial intelligence and data science contents.pptx
artificial intelligence and data science contents.pptx
 
Comparative analysis between traditional aquaponics and reconstructed aquapon...
Comparative analysis between traditional aquaponics and reconstructed aquapon...Comparative analysis between traditional aquaponics and reconstructed aquapon...
Comparative analysis between traditional aquaponics and reconstructed aquapon...
 
Rainfall intensity duration frequency curve statistical analysis and modeling...
Rainfall intensity duration frequency curve statistical analysis and modeling...Rainfall intensity duration frequency curve statistical analysis and modeling...
Rainfall intensity duration frequency curve statistical analysis and modeling...
 
Material for memory and display system h
Material for memory and display system hMaterial for memory and display system h
Material for memory and display system h
 

Compressive flows

  • 2. RELATIONSHIP BETWEEN MACH NUMBER AND FLOW TYPE 2
  • 3. TYPES OF WAVES • When high velocity fluid flow meets an obstruction on its original path, it will generate three types of waves to change its path. • Normal shock waves • Oblique shock waves • Expansion waves 3
  • 4. FORMATION OF OBLIQUE SHOCK WAVES • Oblique shock wave is an inclined shock wave with respect to the upstream flow directions. • Occurs when supersonic flow meets a corner that effectively turns the flow into itself compresses. 4
  • 5. FORMATION OF OBLIQUE SHOCK WAVES 5 • After the oblique shock wave streamlines are going to deflect uniformly. • Consists of a very thin region across which nearly discontinuous changes in the thermodynamic properties of a gas occur.
  • 6. 6
  • 7. PROPERTIES OF OBLIQUE SHOCK WAVES • Mach number decreases to a less supersonic Mach number. • Total pressure decreases. • But pressure loss is lesser than a normal shock wave. • Total energy loss is also less than normal shock wave. • Due to heat of compression to the atmosphere. • Static pressure and density will increase. 7
  • 8. OBLIQUE SHOCK WAVE THEORY 8 • M1 – Pre-shock Mach number • M2 – Post-shock Mach number • β - Oblique shock angle • θ - Corner angle/ wedge angle • Mn1 – Pre-shock Mach number of normal shock • Mn2 – Post-shock Mach number of normal shock
  • 9. OBLIQUE SHOCK WAVE THEORY • 𝑀𝑛1 = 𝑀1 × 𝑆𝑖𝑛(𝛽) • 𝑀2 = 𝑀𝑛2 𝑆𝑖𝑛 (𝛽−𝜃) • 9
  • 10. OBLIQUE SHOCK WAVE THEORY 10
  • 11. OBLIQUE SHOCK WAVE THEORY • It is also possible to take the same answers with using the θ-β-M diagram and shock property tables. • If M2 is a supersonic Mach number, then the shock will be a weak shock wave. • If M2 is a subsonic Mach number, then the shock will be a strong shock wave. 11
  • 12. OBLIQUE SHOCK WAVE THEORY • Weak shock waves will generate when flow geometries are open to the atmosphere. Ex: outside of the aircraft (nose area, wing tips….) • Strong shock waves will generate normally at the confined geometries. Ex : inlet nozzle 12
  • 13. OBLIQUE SHOCK WAVE THEORY • Strong shock waves are required when flow needs match with the downstream conditions. 13
  • 14. OBLIQUE SHOCK WAVE THEORY • For any given Mach number, there is a maximum value for the wedge angle. • If current wedge angle is higher than the maximum wedge angle, then the oblique shock will detached from the surface. • It is known as “detached bow shock wave”. 14
  • 16. INTERSECTION OF RIGHT & LEFT RUNNING SHOCK WAVES 16
  • 17. INTERSECTION OF TWO LEFT RUNNING SHOCK WAVES 17
  • 18. SUPERSONIC FLOW OVER WEDGES & CONES WEDGE (2D) CONE (3D) Stronger oblique shock waves Weaker oblique shock waves Wedge surface pressure is high Cone surface pressure is less Post shock streamlines are straight. (parallel to the deflection) Streamlines are curved above the cone surface. 18
  • 19. APPLICATIONS OF OBLIQUE SHOCK WAVES • For supersonic engine inlets • Reduce velocity through series of oblique shock waves • It decreases the total energy losses when Compared with normal shock wave. 19
  • 20. CONCLUSION • Types of shock waves. • Formation of oblique shock waves. • Property changes across an oblique shock wave. • Equations which governs the oblique shock waves. • Limitations of oblique shock waves. • Shock interactions. • Applications of the oblique shock waves. 20