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Fluid Mechanics and Braking Systems                                                 27/5/12




     Fluid Mechanics in Braking Systems
                       Case studies, Part 1


         A version of PDF version of this presentation is available at SlideShare

                            http://www.slideshare.net




                                                                                              1
Fluid Mechanics and Braking Systems                          27/5/12




     Definition of a fluid
    A continuous, amorphous substance whose molecules move
    freely past one another and that has the tendency to
    assume the shape of its container; a liquid or gas.
    http://www.thefreedictionary.com/fluid




     Properties of fluids
     • Unable to support shear stresses
     • Take on the shape of the container




                                                                       2
Fluid Mechanics and Braking Systems                       27/5/12




                          Principles of Fluid Mechanics


      • Hydrostatic pressure
      • Pressure Principle
      • Archimedes' Principles




                                                                    3
Fluid Mechanics and Braking Systems                                                                   27/5/12




      Hydrostatic Pressure

     • When an object placed in a fluid, the fluid exerts a pressure over the entire surface of the
     object
     • The pressure acts at 90o to the surface of the object at any point

                                   Pressure, P (Pa) = F = Force (N)
                                                      A   Area (m2)




                                                                                                                4
Fluid Mechanics and Braking Systems                                                                 27/5/12




     Hydrostatic Pressure and Depth
     Rule: The deeper an object is submerged, the greater the hydrostatic pressure




      Hydrostatic Pressure Depth Relationship
      Given the pressure at the surface, Po (in Pa), the pressure (in Pa) at depth, h ( in m) is:

                                                   P = Po + ρgh
      where
                                                        -3
              ρ = density of the fluid (a constant - kgm )
                                                 -2
              g = acceleration due to gravity (ms )




                                                                                                              5
Fluid Mechanics and Braking Systems                               27/5/12




    Additional References
       http://celebrate.digitalbrain.com/celebrate/accounts/tak
       acs/web/Hydrostatica/membr/



     • http://www.youtube.com/watch?v=GdAuzpYLOsc




                                                                            6
Fluid Mechanics and Braking Systems                                                  27/5/12




    Pascal's Principle
    • Pressure applied to an enclosed liquid is transmitted undiminished to every point
    in the fluid and to the walls of the container
    • Commonly used in sealed hydraulic systems, e.g. automotive braking systems




                                                                                               7
Fluid Mechanics and Braking Systems   27/5/12




    Pascal's Principle




                                                8
Fluid Mechanics and Braking Systems                           27/5/12




    Additional References
     • http://hyperphysics.phy-astr.gsu.edu/hbase/pasc.html
     • http://en.wikipedia.org/wiki/Pascal's_law
     • http://www.grc.nasa.gov/WWW/k-
     12/WindTunnel/Activities/Pascals_principle.html




                                                                        9
Fluid Mechanics and Braking Systems                      27/5/12




    Archimedes Principle
    • When immersed in water an object will weigh less
    than in air
    • Water provides an upward force (buoyancy) that
    partially counteracts the weight force
    • If the upward force by the water on an object is
    greater than the weight force, the object floats




    Factors that effect buoyancy
         • The density of the fluid
         • The volume of the submerged object




                                                               10
Fluid Mechanics and Braking Systems                                      27/5/12




     As Archimedes put it ....



       A body wholly or partially
       submerged in a fluid is buoyed up
                                           This is independent of the
       by a force equal to the weight of
                                           composition or shape of the
       the fluid displaced by the body
                                           object




                                                                               11
Fluid Mechanics and Braking Systems                                   27/5/12




    Specific Gravity

    Using Archimedes Principle, an object's specific gravity can be
    calculated




      Specific Gravity =              Weight of object in air
                           Weight of object when submerged in water




                                                                            12
Fluid Mechanics and Braking Systems                        27/5/12




    Additional References
    • http://en.wikipedia.org/wiki/Buoyancy
    • http://library.thinkquest.org/27948/archimede.html




                                                                 13
Fluid Mechanics and Braking Systems                                          27/5/12




   Use of Hydraulic Principles in Braking Systems
     To find out about:
     • the basic principles of a braking system, use the link
     http://auto.howstuffworks.com/auto-parts/brakes/brake-types/brake.htm


     • Drum brakes in cars, use the link
     http://auto.howstuffworks.com/auto-parts/brakes/brake-types/drum-brake.htm


     • Disk brakes in cars, use the link
     http://auto.howstuffworks.com/auto-parts/brakes/brake-types/disc-brake.htm




                                                                                   14
Fluid Mechanics and Braking Systems               27/5/12




    How hydraulic disk brakes work in cars




     http://www.youtube.com/watch?v=LYetGatzWjM




                                                        15
Fluid Mechanics and Braking Systems               27/5/12




    How hydraulic drum brakes work




     http://www.youtube.com/watch?v=LX4mqzoe3BY




                                                        16
Fluid Mechanics and Braking Systems                                                  27/5/12




    Brakes used on Trains
    • The braking systems on trains are based on a different "fluid" - namely
    compressed air
    • In 1869, George Westinghouse developed a braking system that used compressed
    air to hold the brake shoe off the wheels of the carriages
    • To apply the brake the air is released, (or the pressure fails), and the bakes are
    immediately activated
    • The method of braking is used with trains as a safety feature and is still used
    today


    For more information on train brakes see:
    • http://en.wikipedia.org/wiki/Railway_air_brake




                                                                                           17
Fluid Mechanics and Braking Systems                    27/5/12




     http://www.railway-technical.com/airbra-app.gif




                                                             18
Fluid Mechanics and Braking Systems                                                   27/5/12




    Innovation in Braking Systems - ABS or Anti-lock
    Braking System
    Why was it developed?
    • When a vehicle brakes suddenly, the wheels typically lock and the vehicle
    skids
    • A skidding vehicle has less traction than a turning wheel and as a result the
    driver has less control of the vehicle
    • If the wheels can be prevented from skidding, the driver will be able to:
            • Stop faster
            • Have some control over the vehicle when the brakes are applied




                                                                                            19
Fluid Mechanics and Braking Systems                                                   27/5/12




    ABS or Anti-lock Braking System
    Components of ABS ?
    • Speed sensors - located in wheels. Detect when the wheels are about to lock
    • ABS Controlled Valve - located in the brake line. The valve has three possible
    positions:
         1. Open - pressure from the master cylinder is passed directly to the
         brake
         2. Closed - The brake line is closed off from the master cylinder.
         Prevents increase in brake pressure if the brake is pressed harder
         3. Release - some (not all) pressure is released from the brake

    • Pump - Restores pressure in the brake line sfter the valve has been activated
    • Controller - a computer that monitors the speed sensors and controls the
    valves




                                                                                            20
Fluid Mechanics and Braking Systems                                         27/5/12




                                      http://auto.howstuffworks.com/auto-
                                      parts/brakes/brake-types/anti-lock-
                                      brake4.htm




                                                                                  21
Fluid Mechanics and Braking Systems                                                27/5/12




    How do the speed sensors work - Step 1
    ABS speed sensors, mounted in the vehicle's wheel hubs constantly monitor the
    rotation of each wheel to determine if the ABS needs to override manual braking
    of the vehicle.
    The speed sensors calculate
          * revolutions of wheels as well as
          * evaluating the continuity between all wheels.
    If any differences are detected in rotation, the ABS is activated to control
    braking.




                                                                                         22
Fluid Mechanics and Braking Systems                                               27/5/12




    How do the speed sensors work - Step 2
    Generating the Speed Sensor Signal
    Speed sensors are made of:
          A magnet wrapped in a coil and
          A toothed sensor ring mounted around the CV joint hub.
    When contact is made between the toothed ring and magnet, an electrical field is
    given off forming a signal.
    The signal includes measurements of the number of pulses per second created by
    the electrical field existing between the magnet coil and sensor ring.
    After conversion into digital form the signal is transmitted to the ABS
    controller.




                                                                                        23
Fluid Mechanics and Braking Systems                                                    27/5/12




    How do the speed sensors work - Step 3
    Sending Messages to the ABS Controller
    This signal is passed along to the controller which counts the number of pulses.
    This is used to determine wheel speed.
    The ABS uses this data to determine whether it should intercede to control
    braking
                                             http://sciencealerts.blogspot.com.au/2011
                                             /07/how-to-replace-abs-wheel-speed-
                                             sensor.html




                                                                                             24
Fluid Mechanics and Braking Systems                27/5/12




    ABS or Anti-lock Braking System
    How does ABS work?




      http://www.youtube.com/watch?v=ngKSirE7zJA




                                                         25
Fluid Mechanics and Braking Systems                                    27/5/12




   Additional Resources
    • http://en.wikipedia.org/wiki/Anti-lock_braking_system
    • http://www.tc.gc.ca/eng/roadsafety/tp-tp13082-absind_e-127.htm




                                                                             26
Fluid Mechanics and Braking Systems                                                27/5/12




    Bibliography
    Copeland, P. Engineering Studies, The Definitive Guide, Volume 1: The Preliminary
    Course, 2002, Anno Domini 2000 Pty Ltd


    TutorVista.com, Pascal's Law and Hydraulic Brake System,
    http://www.youtube.com/watch?v=VxLTDtaRCZk, Accessed 18/5/12


    KeepVid, http://keepvid.com/?url=http%3A%2F%2Fwww.youtube.com%2Fwatch%
    3Fv%3DVxLTDtaRCZk, Accessed 18/5/12


    The Free Dictionary by Farlex, http://www.thefreedictionary.com/fluid, Accessed
    19/5/12, 2012, Farlex Inc




                                                                                         27
Fluid Mechanics and Braking Systems                                            27/5/12




    Bibliography
     Nice K., How Anti-Lock Brakes Work, http://auto.howstuffworks.com/auto-
     parts/brakes/brake-types/anti-lock-brake.htm, Accessed 20/5/12




                                                                                     28
Fluid Mechanics and Braking Systems          27/5/12




                             End of Part 1




                                                   29
Fluid Mechanics and Braking Systems   27/5/12




                                            30

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Fluid Mechanics in Braking Systems Case Study

  • 1. Fluid Mechanics and Braking Systems 27/5/12 Fluid Mechanics in Braking Systems Case studies, Part 1 A version of PDF version of this presentation is available at SlideShare http://www.slideshare.net 1
  • 2. Fluid Mechanics and Braking Systems 27/5/12 Definition of a fluid A continuous, amorphous substance whose molecules move freely past one another and that has the tendency to assume the shape of its container; a liquid or gas. http://www.thefreedictionary.com/fluid Properties of fluids • Unable to support shear stresses • Take on the shape of the container 2
  • 3. Fluid Mechanics and Braking Systems 27/5/12 Principles of Fluid Mechanics • Hydrostatic pressure • Pressure Principle • Archimedes' Principles 3
  • 4. Fluid Mechanics and Braking Systems 27/5/12 Hydrostatic Pressure • When an object placed in a fluid, the fluid exerts a pressure over the entire surface of the object • The pressure acts at 90o to the surface of the object at any point Pressure, P (Pa) = F = Force (N) A Area (m2) 4
  • 5. Fluid Mechanics and Braking Systems 27/5/12 Hydrostatic Pressure and Depth Rule: The deeper an object is submerged, the greater the hydrostatic pressure Hydrostatic Pressure Depth Relationship Given the pressure at the surface, Po (in Pa), the pressure (in Pa) at depth, h ( in m) is: P = Po + ρgh where -3 ρ = density of the fluid (a constant - kgm ) -2 g = acceleration due to gravity (ms ) 5
  • 6. Fluid Mechanics and Braking Systems 27/5/12 Additional References http://celebrate.digitalbrain.com/celebrate/accounts/tak acs/web/Hydrostatica/membr/ • http://www.youtube.com/watch?v=GdAuzpYLOsc 6
  • 7. Fluid Mechanics and Braking Systems 27/5/12 Pascal's Principle • Pressure applied to an enclosed liquid is transmitted undiminished to every point in the fluid and to the walls of the container • Commonly used in sealed hydraulic systems, e.g. automotive braking systems 7
  • 8. Fluid Mechanics and Braking Systems 27/5/12 Pascal's Principle 8
  • 9. Fluid Mechanics and Braking Systems 27/5/12 Additional References • http://hyperphysics.phy-astr.gsu.edu/hbase/pasc.html • http://en.wikipedia.org/wiki/Pascal's_law • http://www.grc.nasa.gov/WWW/k- 12/WindTunnel/Activities/Pascals_principle.html 9
  • 10. Fluid Mechanics and Braking Systems 27/5/12 Archimedes Principle • When immersed in water an object will weigh less than in air • Water provides an upward force (buoyancy) that partially counteracts the weight force • If the upward force by the water on an object is greater than the weight force, the object floats Factors that effect buoyancy • The density of the fluid • The volume of the submerged object 10
  • 11. Fluid Mechanics and Braking Systems 27/5/12 As Archimedes put it .... A body wholly or partially submerged in a fluid is buoyed up This is independent of the by a force equal to the weight of composition or shape of the the fluid displaced by the body object 11
  • 12. Fluid Mechanics and Braking Systems 27/5/12 Specific Gravity Using Archimedes Principle, an object's specific gravity can be calculated Specific Gravity = Weight of object in air Weight of object when submerged in water 12
  • 13. Fluid Mechanics and Braking Systems 27/5/12 Additional References • http://en.wikipedia.org/wiki/Buoyancy • http://library.thinkquest.org/27948/archimede.html 13
  • 14. Fluid Mechanics and Braking Systems 27/5/12 Use of Hydraulic Principles in Braking Systems To find out about: • the basic principles of a braking system, use the link http://auto.howstuffworks.com/auto-parts/brakes/brake-types/brake.htm • Drum brakes in cars, use the link http://auto.howstuffworks.com/auto-parts/brakes/brake-types/drum-brake.htm • Disk brakes in cars, use the link http://auto.howstuffworks.com/auto-parts/brakes/brake-types/disc-brake.htm 14
  • 15. Fluid Mechanics and Braking Systems 27/5/12 How hydraulic disk brakes work in cars http://www.youtube.com/watch?v=LYetGatzWjM 15
  • 16. Fluid Mechanics and Braking Systems 27/5/12 How hydraulic drum brakes work http://www.youtube.com/watch?v=LX4mqzoe3BY 16
  • 17. Fluid Mechanics and Braking Systems 27/5/12 Brakes used on Trains • The braking systems on trains are based on a different "fluid" - namely compressed air • In 1869, George Westinghouse developed a braking system that used compressed air to hold the brake shoe off the wheels of the carriages • To apply the brake the air is released, (or the pressure fails), and the bakes are immediately activated • The method of braking is used with trains as a safety feature and is still used today For more information on train brakes see: • http://en.wikipedia.org/wiki/Railway_air_brake 17
  • 18. Fluid Mechanics and Braking Systems 27/5/12 http://www.railway-technical.com/airbra-app.gif 18
  • 19. Fluid Mechanics and Braking Systems 27/5/12 Innovation in Braking Systems - ABS or Anti-lock Braking System Why was it developed? • When a vehicle brakes suddenly, the wheels typically lock and the vehicle skids • A skidding vehicle has less traction than a turning wheel and as a result the driver has less control of the vehicle • If the wheels can be prevented from skidding, the driver will be able to: • Stop faster • Have some control over the vehicle when the brakes are applied 19
  • 20. Fluid Mechanics and Braking Systems 27/5/12 ABS or Anti-lock Braking System Components of ABS ? • Speed sensors - located in wheels. Detect when the wheels are about to lock • ABS Controlled Valve - located in the brake line. The valve has three possible positions: 1. Open - pressure from the master cylinder is passed directly to the brake 2. Closed - The brake line is closed off from the master cylinder. Prevents increase in brake pressure if the brake is pressed harder 3. Release - some (not all) pressure is released from the brake • Pump - Restores pressure in the brake line sfter the valve has been activated • Controller - a computer that monitors the speed sensors and controls the valves 20
  • 21. Fluid Mechanics and Braking Systems 27/5/12 http://auto.howstuffworks.com/auto- parts/brakes/brake-types/anti-lock- brake4.htm 21
  • 22. Fluid Mechanics and Braking Systems 27/5/12 How do the speed sensors work - Step 1 ABS speed sensors, mounted in the vehicle's wheel hubs constantly monitor the rotation of each wheel to determine if the ABS needs to override manual braking of the vehicle. The speed sensors calculate * revolutions of wheels as well as * evaluating the continuity between all wheels. If any differences are detected in rotation, the ABS is activated to control braking. 22
  • 23. Fluid Mechanics and Braking Systems 27/5/12 How do the speed sensors work - Step 2 Generating the Speed Sensor Signal Speed sensors are made of: A magnet wrapped in a coil and A toothed sensor ring mounted around the CV joint hub. When contact is made between the toothed ring and magnet, an electrical field is given off forming a signal. The signal includes measurements of the number of pulses per second created by the electrical field existing between the magnet coil and sensor ring. After conversion into digital form the signal is transmitted to the ABS controller. 23
  • 24. Fluid Mechanics and Braking Systems 27/5/12 How do the speed sensors work - Step 3 Sending Messages to the ABS Controller This signal is passed along to the controller which counts the number of pulses. This is used to determine wheel speed. The ABS uses this data to determine whether it should intercede to control braking http://sciencealerts.blogspot.com.au/2011 /07/how-to-replace-abs-wheel-speed- sensor.html 24
  • 25. Fluid Mechanics and Braking Systems 27/5/12 ABS or Anti-lock Braking System How does ABS work? http://www.youtube.com/watch?v=ngKSirE7zJA 25
  • 26. Fluid Mechanics and Braking Systems 27/5/12 Additional Resources • http://en.wikipedia.org/wiki/Anti-lock_braking_system • http://www.tc.gc.ca/eng/roadsafety/tp-tp13082-absind_e-127.htm 26
  • 27. Fluid Mechanics and Braking Systems 27/5/12 Bibliography Copeland, P. Engineering Studies, The Definitive Guide, Volume 1: The Preliminary Course, 2002, Anno Domini 2000 Pty Ltd TutorVista.com, Pascal's Law and Hydraulic Brake System, http://www.youtube.com/watch?v=VxLTDtaRCZk, Accessed 18/5/12 KeepVid, http://keepvid.com/?url=http%3A%2F%2Fwww.youtube.com%2Fwatch% 3Fv%3DVxLTDtaRCZk, Accessed 18/5/12 The Free Dictionary by Farlex, http://www.thefreedictionary.com/fluid, Accessed 19/5/12, 2012, Farlex Inc 27
  • 28. Fluid Mechanics and Braking Systems 27/5/12 Bibliography Nice K., How Anti-Lock Brakes Work, http://auto.howstuffworks.com/auto- parts/brakes/brake-types/anti-lock-brake.htm, Accessed 20/5/12 28
  • 29. Fluid Mechanics and Braking Systems 27/5/12 End of Part 1 29