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June 2010


Oscillatory Flow Mixing;
        a review
         Malcolm Mackley

  Department of Chemical Engineering and
              Biotechnology
         University of Cambridge




                                           1
Flow Visualisation




                             Light
                             source




1970s                                 2
Bristol, 1970 PhD, The Impinging Jet Apparatus




              The late Sir Charles Frank and Andrew Keller   3
Bristol, 1976 Post Doc, The Six Roll Mill




                                                   4
                              Prof Sir Michael Berry
Oscillatory Flow Mixing (OFM). Wave Energy devices

1976-79 Sussex University; Applied Sciences; Material Science Division.


                                      Air turbine generates power




                                                    Dr Graham Knott   5
Go to wave movie Sussex 1978




                               6
Phil Trans Roy Soc




            7
Chem Eng Sci
Part 2b project




1980s                       8
Oscillation and sharp edges




  Go to OFM movie




                              9
Oscillatory Flow Mixing, (OFM).




                        Paul Stonestreet 1990   10
Part 2b project
                  Chem Eng Sci




                            11
Chem Eng Sci




Go to OFM Simulation movie




                             Tony Howes   12
OFM Movie; poetry in motion




  Go to OFM Harvey movie




                              Adam Harvey   13
Part 2b project
                  Heat transfer   Chen Eng Sci




                                                 14
Part 2b project   Mass transfer   Cheng Eng Sci




                                            15
1990s; “Industry will commercialise OFM technology”

        1. ICI Wilton,
           Nylon Monomer.
           Pilot plant kg /hr for 2 years

        2. BP Sunbury
           Pilot OFM Plant




1990s                                                     16
Chem Eng Oscillatory Flow Reactor (OFR)



                - Oscillator Base Unit

                - Feed inlet section

                - Shell and baffled tube vessels


                - Product outlet section


                             Dr Paul Stonestreet   17
Chem Eng Lab Scale OFR




            Paul Stonestreet, Adam Harvey 1999
                                             18
Biodiesel Reaction Progress
along Reactor




                              Net Flow
            Net Flow In       Out    19
Full-scale OFR reactor

                 • 0.55 m3 total volume

                 • Ren=500, Reo=2000

                 • f= 4 Hz, xo=2.4 cm

                 • 4 X 150mm tubes @
                   3.5m

                 2 units @ 1.1 m3/hr

                 Approx 50 tonnes/day

                    Paul Stonestreet      20
Prof Xiongwei Ni




                   21
The OFM Meso Reactor




                                      System configuration

                                       Meso tube,
                                       diameter d




                                                    Smooth constrictions:
        Nuno Reis, Minghzi Zheng                        spacing 3d
2000s                                               Minimum constriction
                                                    diameter 0.4d   22
3 5 m m , V  4 .5 m L




a)




                              L




                                  d    d0




                         45º

     b)




                                            23
The meso-tube and dimensionless groups

                                    • Governing dimensionless groups
    • Geometr                        Oscillatory Reynolds number Re o 
                                                                                 2  fx o  d
                                                                                       
      y
                                        Fluid oscillation Reynolds number

                   l                                                d
                                     Strouhal number      St 
                                                                  4 x o
          h         d

               b
                                           The ratio of tube diameter to
          
                                                     amplitude

   d=5.0 mm, λ=15.2 mm, h=1.6 mm,
   δ=6.4 mm, β≈45o                                                              U d
                                    Net flow Reynolds number      Re   n   
                                                                                 
Smooth Periodic Constrictions
Oscillatory flow Meso-Reactor             Fluid net flow Reynolds number



                                                                                     24
Experimental and Modelling
            Experiment setup                                 Numerical Modelling




                                                    The 3-D hexahedral mesh for simulation (Fluent®)
Particle Imaging velocimetry (PIV) system
                                                                u( t )  2  fx 0 cos( 2  ft )
                     Phase position
                             4                                                              D
                                                                                                 2
                        3           5
                                                                    m (t )    u (t ) 
                                                                    
                 2                      6
   X0




                                                                                             4
        0    1                              7   8
                                                        •Periodic boundary condition
 Phase position for an oscillation cycle
                                                                                                     25
Meso Fluid Mechanics




Go to OFM PIV movie

                        Go to OFM LES movie




                                Minghzi Zheng   26
Chem Eng
Lab Meso Reactor




                   27
RTD experiment set-up

                 Probe3




                 Probe2




                  Probe1
Dye Injection




                           28
Dispersion model




Governing equation                           Imperfect injection method; numerical fitting

                                                            c (t )                                                     Pe      t  
                                                                                                                                           2
                                         C (t )                                                   Pe                               
C       D  C            C
              2
                                                                                    TR t                     exp         1   
                               D                         c ( t ) dt                            4 t
                                                                                                            3
                                                                                                                      4t /       
                                                                                                                                     
       uL  Z           Z
                  2                                     0

                                 uL
                                             N                                   2

                                              C t   C t '                         C 2 t '            TR ( t  p ) C 1  p dp
                                                                                                            t
                                      C 
                                             i 1
                                                    2       i            2   i                          0



                                                                                                                                    29
Model fitting
             Net flow without oscillation                                                    • Net flow with oscillation
             Ren=58,Reo=0                                                                    • Ren=58, Reo=312, St=0.4
           0.016                                                                              0.02
                                                          Exp-C(t)                                             b)                                 Exp-E(t)1
                       (a)                                         1                         0.018
           0.014                                                                                                                                  Exp-E(t)2
                                                          Exp-C(t)
                                                                   2                         0.016
                       Probe 1                                                                                                                    Exp-E(t)3
           0.012                                          Exp-C(t)
                                                                   3                                                                              Fit-E(t)2 (1->2)
                                                                                             0.014
                                                          Fit-C(t)3 ' (2->3)
                                                                                                                                                  Fit-E(t)3 (1->3)
            0.01                                                                             0.012
                                                                                                                                                  Fit-E(t)3 (2->3)




                                                                                  E(t) (-)
C(t) (-)




           0.008                                                                              0.01

                                                                                             0.008
           0.006
                         Probe 2                                                             0.006
           0.004                     Probe 3                                                 0.004

           0.002                                                                             0.002

              0                                                                                 0
                                                                                                     0   100        200   300   400   500   600   700     800        900
                   0         200   400     600      800        1000        1200
                                                                                                                                Time (s)
                                         Time (s)




                                                                                                                                                              30
Liquid-liquid dispersion




             a) f=6Hz                         a) xo=3 mm




            b) f=10Hz                           b) xo=4 mm

Silicon oil (4.6mPas,2.5%) mixing   Silicon oil (4.6mPas, 2.5%) mixing
    with water at xo=2 mm               with water at f=6Hz

                                                                         31
Particles in suspension




Instantaneous velocity vector maps of fluid phase at Reo = 625,
x0 = 2 mm, f = 10.0 Hz at vertical position in the presence of 3%   32
(v/v ) amount of ion-exchange particles
And finally;
The BT 1000




Go to BT 1000 movie




                      33
The BT 1000




              34
What went right with OFM invention.

       The science was a lot of fun


          What went wrong.

  Lack of focus in pushing the technology




                                            35
Acknowledgments.
                   A cast of many;
                    In particular,

                  Part 2B Students
                   Postgraduates
                   Postdoctorates
               Chem Eng support staff
                    Bob Skelton
                 “The Department”
“For allowing me the freedom to develop speculative ideas”

                      Thank you!                        36

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OFM Chem Eng Cambridge 2010

  • 1. June 2010 Oscillatory Flow Mixing; a review Malcolm Mackley Department of Chemical Engineering and Biotechnology University of Cambridge 1
  • 2. Flow Visualisation Light source 1970s 2
  • 3. Bristol, 1970 PhD, The Impinging Jet Apparatus The late Sir Charles Frank and Andrew Keller 3
  • 4. Bristol, 1976 Post Doc, The Six Roll Mill 4 Prof Sir Michael Berry
  • 5. Oscillatory Flow Mixing (OFM). Wave Energy devices 1976-79 Sussex University; Applied Sciences; Material Science Division. Air turbine generates power Dr Graham Knott 5
  • 6. Go to wave movie Sussex 1978 6
  • 8. Chem Eng Sci Part 2b project 1980s 8
  • 9. Oscillation and sharp edges Go to OFM movie 9
  • 10. Oscillatory Flow Mixing, (OFM). Paul Stonestreet 1990 10
  • 11. Part 2b project Chem Eng Sci 11
  • 12. Chem Eng Sci Go to OFM Simulation movie Tony Howes 12
  • 13. OFM Movie; poetry in motion Go to OFM Harvey movie Adam Harvey 13
  • 14. Part 2b project Heat transfer Chen Eng Sci 14
  • 15. Part 2b project Mass transfer Cheng Eng Sci 15
  • 16. 1990s; “Industry will commercialise OFM technology” 1. ICI Wilton, Nylon Monomer. Pilot plant kg /hr for 2 years 2. BP Sunbury Pilot OFM Plant 1990s 16
  • 17. Chem Eng Oscillatory Flow Reactor (OFR) - Oscillator Base Unit - Feed inlet section - Shell and baffled tube vessels - Product outlet section Dr Paul Stonestreet 17
  • 18. Chem Eng Lab Scale OFR Paul Stonestreet, Adam Harvey 1999 18
  • 19. Biodiesel Reaction Progress along Reactor Net Flow Net Flow In Out 19
  • 20. Full-scale OFR reactor • 0.55 m3 total volume • Ren=500, Reo=2000 • f= 4 Hz, xo=2.4 cm • 4 X 150mm tubes @ 3.5m 2 units @ 1.1 m3/hr Approx 50 tonnes/day Paul Stonestreet 20
  • 22. The OFM Meso Reactor System configuration Meso tube, diameter d Smooth constrictions: Nuno Reis, Minghzi Zheng spacing 3d 2000s Minimum constriction diameter 0.4d 22
  • 23. 3 5 m m , V  4 .5 m L a) L d d0   45º b) 23
  • 24. The meso-tube and dimensionless groups • Governing dimensionless groups • Geometr Oscillatory Reynolds number Re o  2  fx o  d  y Fluid oscillation Reynolds number l d Strouhal number St  4 x o h d b The ratio of tube diameter to  amplitude d=5.0 mm, λ=15.2 mm, h=1.6 mm, δ=6.4 mm, β≈45o U d Net flow Reynolds number Re n   Smooth Periodic Constrictions Oscillatory flow Meso-Reactor Fluid net flow Reynolds number 24
  • 25. Experimental and Modelling Experiment setup Numerical Modelling The 3-D hexahedral mesh for simulation (Fluent®) Particle Imaging velocimetry (PIV) system u( t )  2  fx 0 cos( 2  ft ) Phase position 4 D 2 3 5 m (t )    u (t )   2 6 X0 4 0 1 7 8 •Periodic boundary condition Phase position for an oscillation cycle 25
  • 26. Meso Fluid Mechanics Go to OFM PIV movie Go to OFM LES movie Minghzi Zheng 26
  • 27. Chem Eng Lab Meso Reactor 27
  • 28. RTD experiment set-up Probe3 Probe2 Probe1 Dye Injection 28
  • 29. Dispersion model Governing equation Imperfect injection method; numerical fitting c (t )   Pe  t   2 C (t )  Pe    C D  C C 2  TR t   exp  1      D  c ( t ) dt 4 t 3  4t /         uL  Z Z 2 0 uL N 2  C t   C t ' C 2 t '  TR ( t  p ) C 1  p dp t C  i 1 2 i 2 i 0 29
  • 30. Model fitting Net flow without oscillation • Net flow with oscillation Ren=58,Reo=0 • Ren=58, Reo=312, St=0.4 0.016 0.02 Exp-C(t) b) Exp-E(t)1 (a) 1 0.018 0.014 Exp-E(t)2 Exp-C(t) 2 0.016 Probe 1 Exp-E(t)3 0.012 Exp-C(t) 3 Fit-E(t)2 (1->2) 0.014 Fit-C(t)3 ' (2->3) Fit-E(t)3 (1->3) 0.01 0.012 Fit-E(t)3 (2->3) E(t) (-) C(t) (-) 0.008 0.01 0.008 0.006 Probe 2 0.006 0.004 Probe 3 0.004 0.002 0.002 0 0 0 100 200 300 400 500 600 700 800 900 0 200 400 600 800 1000 1200 Time (s) Time (s) 30
  • 31. Liquid-liquid dispersion a) f=6Hz a) xo=3 mm b) f=10Hz b) xo=4 mm Silicon oil (4.6mPas,2.5%) mixing Silicon oil (4.6mPas, 2.5%) mixing with water at xo=2 mm with water at f=6Hz 31
  • 32. Particles in suspension Instantaneous velocity vector maps of fluid phase at Reo = 625, x0 = 2 mm, f = 10.0 Hz at vertical position in the presence of 3% 32 (v/v ) amount of ion-exchange particles
  • 33. And finally; The BT 1000 Go to BT 1000 movie 33
  • 35. What went right with OFM invention. The science was a lot of fun What went wrong. Lack of focus in pushing the technology 35
  • 36. Acknowledgments. A cast of many; In particular, Part 2B Students Postgraduates Postdoctorates Chem Eng support staff Bob Skelton “The Department” “For allowing me the freedom to develop speculative ideas” Thank you! 36