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“Things Your Screw Designer
Never Told You About Screws !!”

             Presented by:
              Tim Womer
 1/25/2011
Common Nomenclature
              for Single Screws
                    Flighted Length = F.L.

                            Screw Dia. = D




             Feed       Transition            Metering

                            Flighted Length (F.L.)
                    L/D =
                            Screw Diameter ( D )
1/25/2011
Length per Diameter of a Screw
             (L/D)
• Example:
   – Screw Diameter = 2.5”
   – Flighted Length = 63”
   – L/D = 63/2.5 = 25.2:1 L/D
   – OEMs refer to this as a 24:1 L/D
   – Typical L/Ds are 24:1, 30:1, 32:1, 36:1
• Machine manufacturers define L/D differently.
• Screw manufacturers sometimes price a screw
  based on the overall flighted length.
1/25/2011
Section Lengths - Feed

•   No feed section - old RPVC powder design
•   5 to 6 turns - typical
•   8 to 10 turns for poor feeding materials
•   10 to 12 turns when the material requires heat
    to be absorbed before it can be melted.



                 Feed

1/25/2011
Basic Theory of Solids
                   Conveying



• In order for the plastic pellet to move forward:
    – Stick to the barrel
    – Slip on the screw
• If the plastic sticks to the screw, we have a melt block
• If the plastic doesn’t stick to the barrel we get “wind milling”

 1/25/2011
Coefficient of Friction
              

                              
                

     
     
       
                                                   

               
               
               
1/25/2011
Transition Section for a
           Single Stage Screw
• Length should match melting rate of polymer of
  resin being processed
• This is where all of the work is done and more
  generally the most amount of screw and barrel
  wear is seen.
• Typically 5 to 10 turns long


               Feed    Transition

 1/25/2011
Section Length - Metering

• Melting is completed and polymer pumping takes
  place.
• Minimum of 5 to 6 turns before mixer, even if a
  mixer is being used, to help insure stable output
  and pumping.
• 2 Turns after mixer for re-orienting the melt.
• Longer Metering Section typically for Non-barrier
  type screws.

             Feed   Transition   Metering   Mtg


 1/25/2011
1/25/2011
Pumping in the Metering
                  Qnet = Qdrag – QPressure – Qleakage


  Qdrag
  Qpressure
  Qleakage
  Qnet
    •Pressure Flow must never be greater than 33% of Drag Flow
    •On a new screw Leakage Flow is typically less than 1%

1/25/2011
Drag Flow / Pressure Flow Equation

                                 n⋅e                                3       n⋅e 
       Fd' ⋅ π 2 ⋅ D2 ⋅ N ⋅ h ⋅ 1 −    ⋅ sin φ ⋅ cosφ Fp ⋅ π ⋅ D ⋅ h ⋅ 1 −
                                                         '
                                                                                    ⋅ sin φ
                                                                                          2


  Qn =                              t 
                                                       −                        t 
                                                                                             ⋅ ∆p
                                  2                                   12 ⋅ µ ⋅ L

     • Pure pumping capacity of the metering
       section
     • Leakage Flow is disregarded on new
       screws because it is < .1%
     • Result if done in unified units is in3/sec.
  1/25/2011
Drag Flow Equation

                                         n⋅e 
                   Fd' ⋅π 2 ⋅D 2 ⋅ N ⋅h⋅ 1− ⋅sin φ ⋅cos φ
                                           t 
            Qd =                          2

•   F’d = Shape factor of the channel
•   Pure displace based on the geometry of the screw.
•   Rate is directly related to screw speed
•   The helix angle () of the flight in the metering section
    does have an effect on the pumping capacity of the screw

1/25/2011
Differences in Viscosity
                          100000


                          10000
     Viscocity (pa-sec)




                            1000
                                                                     Unfilled PP
                                                                     Filled PP


                            100


                              10


                              1
                                   1   10     100     1000   10000

1/25/2011                              Shear Rate (sec-1)
Pressure Flow Equation
               '              3      n⋅e               
               Fp ⋅ π ⋅ D ⋅ h ⋅ 1 −       ⋅ Sin φ
                                                  2
                                                          
 QPr ess    =                          t 
                                                     ⋅ ∆p 
                             12 ⋅ µ ⋅ L                  
                                                         
                                                         
•   “” is the viscosity of the polymer
•   It has an inverse relationship to the Pressure Flow
•   The greater the viscosity the lesser the Pressure Flow
•   The higher the % of filler, typically the higher the viscosity

1/25/2011
Simple Calculation for Rate
                                2
            Rate = 2.3 × D × hm × MD × N
  Where:
  D = Screw Diameter (inches)
  hm= Metering Depth (inches)
  MD = Melt Density of the resin (gm/cc)
  N = Screw Speed (rpm)



1/25/2011
Example Problem
            Rate = 2.3 × D 2 × hm × MD × N
              Where:
                       D = 2.5”
                       hm= .150”
                       MD = LDPE (.76 gm/cc)
                       N = 120 rpm

                  Rate = 2.3 × D2 × hm × MD × N


1/25/2011
            Rate = 245.8 lb/hr
Section Lengths - Mixers
  • Two types of Mixing - Distributive and Dispersionary
    Mixing
  • Most mixers are 2 turns long
  • Some of the more intense dispersionary mixers are
    3+ turns long.
  • Mixers should be located back from the tip of the
    screw approximately 2 turns to help in re-orienting
    the melt.

            Feed    Transition   Metering   Mixer   Mtg


1/25/2011
1/25/2011
1/25/2011
Nano™-Mixer
             US Patent 6,497,508


             • Dispersionary Mixing

             • Self-cleaning

             • Multi-Pass Mixing

             • Injection and Extrusion

1/25/2011
StrataBlend® II Mixer
                US Patent 6,488,399


                 • Distributive Mixing

                 • Chaotic Mixing

                 • Low Shear (PVC, ABS, PC, etc.)

                 • Injection and Extrusion

1/25/2011
Mixing Experiment




1/25/2011
Depth to Depth
            Compression Ratio

                   hf                          hm



            Feed             Transition     Metering

                        Compression    hf
                        Ratio (C.R.) = hm


1/25/2011
Compression Ratio = C/R

• Feed Depth / Metering Depth
• Examples for a 2.5” screw:

            hf   .300”
               = .100” = 3:1
            hm
                  and
            hf   .450”
               = .150” = 3:1
            hm
1/25/2011
Barrier Screw Technology



1/25/2011
Barrier Screws




• High performance technology

  • Separates the melt pool from the solids bed

  • Lower overall melt temperature
1/25/2011
Barrier Basics




1/25/2011
Volumetric Compression
             Ratio of Barrier Screws
               Volumetric Compression Ratio = VCR
                   hf                          h          m




             Feed                                  Metering
                          Barrier Section



  Cross-Section of Feed                 Cross-Section at End of Barrier


1/25/2011
Volumetric Compression
      Ratio in Barrier Screws
                    Wf                  Wm       Ws

                                                    hs
                    hf                  hm

            Cross-Section of Feed
                                      Cross-Section @ End of Barrier

                             (Wf * hf )
                   VCR =
                         (W * h m ) + (Ws * h s )
                           m

1/25/2011
Temperature Profile
               (for processing a .35MI HDPE)



120F           Z1= 350 F     Z2= 460 F       Z3= 440 F   Z4= 420 F   Z5= 400 F




                                       

       NOTE: This profile typically will produce a 410-420F Melt
             against a 3500 PSI headpressure.
   1/25/2011
4.5” x 32:1 L/D Screw & Barrel Wear
                                         (Due to improper barrel temperature profile)


                                  4.58


                                  4.56
Screw and Barrel Diameters (IN)




                                  4.54


                                  4.52
                                                                                                                                                   BBL Nominal
                                   4.5                                                                                                             BARREL
                                                                                                                                                   SCREW
                                                                                                                                                   SCR Nominal
                                  4.48


                                  4.46


                                  4.44


                                  4.42
                                          1   2   3   4   5   6   7   8   9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32

                                                                               L/D Location on Screw and Barrel
Two Stage Screw
              Technology



1/25/2011
Two Stage Nomenclature

                                 Flighted Length = F.L.

               Vent Location = .66 x F.L.



               hf                         hm              hv              hp

                                                                           nd
                                    1st                                2
            Feed      Trans.     Metering      Dec. Vent       Comp. Metering

                   First Stage                             Second Stage



1/25/2011
Features of Two Stage Screws
• Primary Purpose is for Devolitization or Venting for
  the removal of Moisture and /or gases.

• Typical L/D of Two Stage screws are 32:1 to 36:1
  L/D with extremes of 24:1 L/D to 40:1 L/D and
  longer.

• Throughput Rates of Two Stage Screws is typically
  2/3 of an equivalent length Single Stage Screw.

1/25/2011
Design Requirements for
             Two Stage Screws

•    Rheological data - for any design is essential.
•    What is the typical headpressure?
•    Is a melt pump being used in the system?
•    Is the vent being operated with a vacuum or
     is it being vented to atmosphere?


    1/25/2011
Two Stage - Pump Ratio
            h                              h                        h                       h
                f                              m                        v                        p




                                      st                                                        nd
                                  1                                                     2
                                Metering                                              Metering
     Feed           Trans.                         Dec.      Vent           Comp.




            Old Method                                    Correct Method
                         hp                                                 Qnet ss
    Pump Ratio =              =1.6                   Pump Ratio =
                         hm                                                 Qnet fs


1/25/2011
Two Stage - Compression
                Ratio
                   h                           h                 h                     h
                       f                           m                 v                     p




                                          st                                               nd
                                      1                                            2
                                    Metering                                     Metering
            Feed           Trans.                      Dec.   Vent       Comp.


                                      hf                                           hv
            First Stage C/R =                           Second Stage C/R =
                                      hm                                           hp
                                           NOTE:
    Typically the Second Stage Compression Ratio is between 2:1 and 2.5:1


1/25/2011
Conclusion

• Make sure you provide your screw
  manufacturer with good resin information.
• Understand how the mechanics of a screw’s
  design functions.
• Hopefully this presentation has help make
  everyone here a little more knowledgeable in
  the functions of a feedscrew.

 1/25/2011
Thank You !



1/25/2011

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Things Your Extruder Screw Designer Never Told You About Screws - Slideshow

  • 1. “Things Your Screw Designer Never Told You About Screws !!” Presented by: Tim Womer 1/25/2011
  • 2. Common Nomenclature for Single Screws Flighted Length = F.L. Screw Dia. = D Feed Transition Metering Flighted Length (F.L.) L/D = Screw Diameter ( D ) 1/25/2011
  • 3. Length per Diameter of a Screw (L/D) • Example: – Screw Diameter = 2.5” – Flighted Length = 63” – L/D = 63/2.5 = 25.2:1 L/D – OEMs refer to this as a 24:1 L/D – Typical L/Ds are 24:1, 30:1, 32:1, 36:1 • Machine manufacturers define L/D differently. • Screw manufacturers sometimes price a screw based on the overall flighted length. 1/25/2011
  • 4. Section Lengths - Feed • No feed section - old RPVC powder design • 5 to 6 turns - typical • 8 to 10 turns for poor feeding materials • 10 to 12 turns when the material requires heat to be absorbed before it can be melted. Feed 1/25/2011
  • 5. Basic Theory of Solids Conveying • In order for the plastic pellet to move forward: – Stick to the barrel – Slip on the screw • If the plastic sticks to the screw, we have a melt block • If the plastic doesn’t stick to the barrel we get “wind milling” 1/25/2011
  • 6. Coefficient of Friction              1/25/2011
  • 7. Transition Section for a Single Stage Screw • Length should match melting rate of polymer of resin being processed • This is where all of the work is done and more generally the most amount of screw and barrel wear is seen. • Typically 5 to 10 turns long Feed Transition 1/25/2011
  • 8. Section Length - Metering • Melting is completed and polymer pumping takes place. • Minimum of 5 to 6 turns before mixer, even if a mixer is being used, to help insure stable output and pumping. • 2 Turns after mixer for re-orienting the melt. • Longer Metering Section typically for Non-barrier type screws. Feed Transition Metering Mtg 1/25/2011
  • 10. Pumping in the Metering Qnet = Qdrag – QPressure – Qleakage Qdrag Qpressure Qleakage Qnet •Pressure Flow must never be greater than 33% of Drag Flow •On a new screw Leakage Flow is typically less than 1% 1/25/2011
  • 11. Drag Flow / Pressure Flow Equation  n⋅e  3  n⋅e  Fd' ⋅ π 2 ⋅ D2 ⋅ N ⋅ h ⋅ 1 −  ⋅ sin φ ⋅ cosφ Fp ⋅ π ⋅ D ⋅ h ⋅ 1 − '  ⋅ sin φ 2 Qn =  t  −  t  ⋅ ∆p 2 12 ⋅ µ ⋅ L • Pure pumping capacity of the metering section • Leakage Flow is disregarded on new screws because it is < .1% • Result if done in unified units is in3/sec. 1/25/2011
  • 12. Drag Flow Equation  n⋅e  Fd' ⋅π 2 ⋅D 2 ⋅ N ⋅h⋅ 1− ⋅sin φ ⋅cos φ  t  Qd = 2 • F’d = Shape factor of the channel • Pure displace based on the geometry of the screw. • Rate is directly related to screw speed • The helix angle () of the flight in the metering section does have an effect on the pumping capacity of the screw 1/25/2011
  • 13. Differences in Viscosity 100000 10000 Viscocity (pa-sec) 1000 Unfilled PP Filled PP 100 10 1 1 10 100 1000 10000 1/25/2011 Shear Rate (sec-1)
  • 14. Pressure Flow Equation  ' 3  n⋅e    Fp ⋅ π ⋅ D ⋅ h ⋅ 1 −  ⋅ Sin φ 2  QPr ess =   t  ⋅ ∆p   12 ⋅ µ ⋅ L      • “” is the viscosity of the polymer • It has an inverse relationship to the Pressure Flow • The greater the viscosity the lesser the Pressure Flow • The higher the % of filler, typically the higher the viscosity 1/25/2011
  • 15. Simple Calculation for Rate 2 Rate = 2.3 × D × hm × MD × N Where: D = Screw Diameter (inches) hm= Metering Depth (inches) MD = Melt Density of the resin (gm/cc) N = Screw Speed (rpm) 1/25/2011
  • 16. Example Problem Rate = 2.3 × D 2 × hm × MD × N Where: D = 2.5” hm= .150” MD = LDPE (.76 gm/cc) N = 120 rpm Rate = 2.3 × D2 × hm × MD × N 1/25/2011 Rate = 245.8 lb/hr
  • 17. Section Lengths - Mixers • Two types of Mixing - Distributive and Dispersionary Mixing • Most mixers are 2 turns long • Some of the more intense dispersionary mixers are 3+ turns long. • Mixers should be located back from the tip of the screw approximately 2 turns to help in re-orienting the melt. Feed Transition Metering Mixer Mtg 1/25/2011
  • 20. Nano™-Mixer US Patent 6,497,508 • Dispersionary Mixing • Self-cleaning • Multi-Pass Mixing • Injection and Extrusion 1/25/2011
  • 21. StrataBlend® II Mixer US Patent 6,488,399 • Distributive Mixing • Chaotic Mixing • Low Shear (PVC, ABS, PC, etc.) • Injection and Extrusion 1/25/2011
  • 23. Depth to Depth Compression Ratio hf hm Feed Transition Metering Compression hf Ratio (C.R.) = hm 1/25/2011
  • 24. Compression Ratio = C/R • Feed Depth / Metering Depth • Examples for a 2.5” screw: hf .300” = .100” = 3:1 hm and hf .450” = .150” = 3:1 hm 1/25/2011
  • 26. Barrier Screws • High performance technology • Separates the melt pool from the solids bed • Lower overall melt temperature 1/25/2011
  • 28. Volumetric Compression Ratio of Barrier Screws Volumetric Compression Ratio = VCR hf h m Feed Metering Barrier Section Cross-Section of Feed Cross-Section at End of Barrier 1/25/2011
  • 29. Volumetric Compression Ratio in Barrier Screws Wf Wm Ws hs hf hm Cross-Section of Feed Cross-Section @ End of Barrier (Wf * hf ) VCR = (W * h m ) + (Ws * h s ) m 1/25/2011
  • 30. Temperature Profile (for processing a .35MI HDPE) 120F Z1= 350 F Z2= 460 F Z3= 440 F Z4= 420 F Z5= 400 F      NOTE: This profile typically will produce a 410-420F Melt against a 3500 PSI headpressure. 1/25/2011
  • 31. 4.5” x 32:1 L/D Screw & Barrel Wear (Due to improper barrel temperature profile) 4.58 4.56 Screw and Barrel Diameters (IN) 4.54 4.52 BBL Nominal 4.5 BARREL SCREW SCR Nominal 4.48 4.46 4.44 4.42 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 L/D Location on Screw and Barrel
  • 32. Two Stage Screw Technology 1/25/2011
  • 33. Two Stage Nomenclature Flighted Length = F.L. Vent Location = .66 x F.L. hf hm hv hp nd 1st 2 Feed Trans. Metering Dec. Vent Comp. Metering First Stage Second Stage 1/25/2011
  • 34. Features of Two Stage Screws • Primary Purpose is for Devolitization or Venting for the removal of Moisture and /or gases. • Typical L/D of Two Stage screws are 32:1 to 36:1 L/D with extremes of 24:1 L/D to 40:1 L/D and longer. • Throughput Rates of Two Stage Screws is typically 2/3 of an equivalent length Single Stage Screw. 1/25/2011
  • 35. Design Requirements for Two Stage Screws • Rheological data - for any design is essential. • What is the typical headpressure? • Is a melt pump being used in the system? • Is the vent being operated with a vacuum or is it being vented to atmosphere? 1/25/2011
  • 36. Two Stage - Pump Ratio h h h h f m v p st nd 1 2 Metering Metering Feed Trans. Dec. Vent Comp. Old Method Correct Method hp Qnet ss Pump Ratio = =1.6 Pump Ratio = hm Qnet fs 1/25/2011
  • 37. Two Stage - Compression Ratio h h h h f m v p st nd 1 2 Metering Metering Feed Trans. Dec. Vent Comp. hf hv First Stage C/R = Second Stage C/R = hm hp NOTE: Typically the Second Stage Compression Ratio is between 2:1 and 2.5:1 1/25/2011
  • 38. Conclusion • Make sure you provide your screw manufacturer with good resin information. • Understand how the mechanics of a screw’s design functions. • Hopefully this presentation has help make everyone here a little more knowledgeable in the functions of a feedscrew. 1/25/2011