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Intensification of inter-phase mass transfer: the combined effect of oscillatory motion and turbulence promoters

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Abstract

This paper presents the results of an investigation into the combined effect of using oscillatory motion and turbulence promoters on the intensification of transfer rate at solid liquid interface. The mass transfer coefficient at oscillating vertical surfaces equipped with rectangular transverse strips was measured for a wide range of oscillatory conditions and promoters configurations using the limiting current technique. It was found that using oscillatory motion it is possible to achieve significant transfer augmentation with relatively small height and low density promoters that could be as low as 1 mm, and 0.04 mm−1, respectively, making it possible to mitigate the adverse effect of the high frictional resistance and power consumption associated with using turbulence promoters for transfer enhancement under non-oscillatory conditions. The results obtained for the average mass transfer coefficient at oscillatory surfaces with turbulent promoters were well correlated in terms of the oscillatory Reynolds number, the Strouhal number, and the ratio of the promoters spacing to its height.

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Abbreviations

a :

Amplitude of surface oscillation (half stroke) (m)

A :

Active surface area (m2)

C b :

Concentration of the ferri-ferrocyanide (mol/m3)

c f :

Friction coefficient (–)

D :

Diffusion coefficient (m2/s)

E :

Enhancement factor, Eq. 3 (–)

f :

Frequency of surface oscillation (Hz)

F :

Faraday’s constant (C/Equiv.)

g :

Acceleration of gravity (m/s2)

Gr:

Grashof number (Gr=α gl3/v2) [−]

h :

promoter height (m)

i :

Limiting current (C/s)

l :

Length of plate active area (m)

k :

Mass transfer coefficient (m/s)

k s :

Nikuradse equivalent sand roughness (m)

n :

Number of electrons transferred in the reaction (–)

p :

Promoter spacing (m)

Re :

Reynolds number (Re = V l/v) [–]

Sc:

Schmidt number (Sc=v/D) [–]

Sh:

Sherwood number (Sh =kl/D) [–]

St:

Strouhal number (St=h/4πa) [–]

V :

Average velocity (V = 2πaf) [m/s]

α:

Specific densification coefficient (–)

v :

Kinematic viscosity (m2/s)

ρ:

Fluid density (g/m3)

ω:

Circular frequency of vibration 2π f (s−1)

o :

Oscillatory

n :

Natural convection

References

  1. Baird MHI, Rama Rao NV (1988) Characteristics of a countercurrent reciprocating plate bubble column: II axial mixing and mass transfer. Can J Chem Eng 66:222–230

    Article  Google Scholar 

  2. Rama Rao NV, Baird MHI (2003) Gas liquid mass transfer in a 15 cm diameter reciprocating plate column. J Chem Techol Biotechnol 78:134–137

    Article  Google Scholar 

  3. Ni X, Mackley MR, Harvey AP, Stonestreet P, Baird MHI, Rama Rao NV (2003) Mixing through oscillations and pulsations—a guide to achieve process enhancements in the chemical and process industries. Trans Inst Chem Eng 81:373–383

    Article  Google Scholar 

  4. Stephens GG, Mackley MR (2002) Heat transfer performance in batch oscillatory flow mixing. Exp Therm Fluid Sci 25:583–594

    Article  Google Scholar 

  5. Landau J, Dim A, Houlihan R (1973) A reciprocating plate extraction column for hydrometallurgical applications. Metallurgical Trans 4:2827–2832

    Google Scholar 

  6. Karr AE (1959) Performance of a reciprocating plate extraction column. AIChEJ 5:446–452

    Article  MathSciNet  Google Scholar 

  7. Najarian S, Bellhouse BJ (1997) Effect of oscillatory flow on the performance of a novel cross-low affinity membrane device. Biotech Bioeng 13:113–116

    Google Scholar 

  8. Mackay ME, Mackley MR, Wang Y (1991) Oscillatory flow within tubes containing wall or central baffles. Trans Inst Chem Eng 69:506

    Google Scholar 

  9. Kersweg UH (1985) Enhanced heat conduction in oscillatory flow within parallel channels. J Fluid Mech 156:291–300

    Article  Google Scholar 

  10. Kersweg UH (1985) Enhanced heat conduction in fluid subjected to sinusoidal oscillations. J Heat Transfer (ASME) 107:459–462

    Article  Google Scholar 

  11. Kersweg UH (1986) Temporal and spatial distribution of hear flux in oscillating flow subject to an axial temperature gradient. Int J Heat Mass Transf 29(12):1969–1977

    Article  Google Scholar 

  12. Saito S, Hashimoto T, Morfin I, Lindner P, Boue F, Pine DJ (2003) Phase separation in a polymer solution induced by steady and large amplitude oscillatory shear flow. Macromolecules 36(10):3745–3749

    Article  Google Scholar 

  13. Gao P, Han Ching W, Herrmann M, Kwong C, Yue PL (2003) Photo-oxidation of a model pollutant in an oscillatory flow reactor with baffles. Chem Eng Sci 58(3–6):1013–1021

    Article  Google Scholar 

  14. Carpenter NG, Roberts EPL (1999) Mass transport and residence time characteristics of an oscillatory flow electrochemical reactor. Trans I Chem E 77(A):212–217

    Article  Google Scholar 

  15. Bellhouse BJ, Sobey IJ, Alani S, DeBlois BM (1994) Enhanced filtration using flat membranes and standing vortex waves. Bioseparation 4:127–138

    Google Scholar 

  16. Milward HR, Bellhouse BJ, Sobey IJ (1996) The vortex wave membrane bioreactor: hydrodynamics and mass transfer. Chem Eng J 62:175–181

    Google Scholar 

  17. Gomaa HG, Al-Taweel AM, Landau J (2003) Mass transfer enhancement at vertically oscillating electrodes. Chem Eng J 97:141–149

    Article  Google Scholar 

  18. Venkateswarlu P, Jaya Raj N, Subba Rao D, Subbaiah T (2002) Mass transfer conditions on a perforated electrode support vibrating in an electrolytic cell. Chem Eng Process 41:349–356

    Article  Google Scholar 

  19. Ravi P, Raven N, Gopala Krishna P, Venkateswarlu P (2001) Ionic mass transfer at vibrating electrode support in an electrowinning cell. Hydrometallurgy 60:69–79

    Article  Google Scholar 

  20. Krantz WB, Bilodeau RR, Voorhees ME, Elgas RJ (1997) Use of axial membrane vibrations to enhance mass transfer in a hollow tube oxygenator. J Mem Sci 124:283

    Article  Google Scholar 

  21. Al Taweel AM, Ismail MI (1976) Comparative analysis of mass transfer at vibrating electrodes. J Appl Electrochem 6:559–564

    Article  Google Scholar 

  22. Liu MB, Cook GM, Yao NP (1982) Vibrating zinc electrodes in Ni/Zn batteries. J Electrochem Soc 129:913–920

    Article  Google Scholar 

  23. Ralph ME (1986) Oscillatory flow in wavy-walled tubes. J Fluid Mech 168:515

    Article  Google Scholar 

  24. Mackley M (1986) Use of oscillatory flow to improve performance. Chem Eng 43:18

    Google Scholar 

  25. Gupta BB, Howell JA, Wu DX, Field RW (1995) Helical baffle in cross flow microfiltration. J Mem Sci 102:31

    Article  Google Scholar 

  26. Rodgers VG, Sparks RE (1991) Reduction of membrane fouling in the ultrafiltration of binary protein mixtures. AIChE J 37:39–55

    Article  Google Scholar 

  27. Rodgers VG, Miler KD (1993) Analysis of steric hindrance reduction in pulsed protein ultrafiltration. J Mem Sci 85:39

    Article  Google Scholar 

  28. Abel K (1997) Influence of oscillatory flows on protein ultrafiltration. J Mem Sci 133:39–55

    Article  Google Scholar 

  29. Nishimura T, Kunitsugu K, Morega AM (1998) Fluid mixing and mass transfer enhancement in grooved channels for pulsatile flow. J Enhanced Heat Trans 5:23–37

    Google Scholar 

  30. Nishimura T, Oka N, Yoshinak Y, Kunitsugu K (2000) Influence of imposed oscillatory frequency on mass transfer enhancement of grooved channels for pulsatile flow. J Heat Mass Trans 43:2365–2374

    Article  Google Scholar 

  31. Fouad MG, Gouda T (1964) Natural convection mass transfer at vertical electrodes. Electrochim Acta 9:1071–1076

    Article  Google Scholar 

  32. Taylor JL, Hanratty T (1974) Influence of natural convection on mass transfer rates for the electrolysis of ferricyanide ions. Electrochim Acta 19:529–533

    Article  Google Scholar 

  33. Selman JR, Newman J (1971) Free convective mass transfer with a supporting electrolyte. J Electrochem Soc 118:1070–1078

    Google Scholar 

  34. Leveque MA (1928) Les Lois de la Transmission de Chaleur par Convection. Annis Mines 13:201–299

    Google Scholar 

  35. Chilton TH, Colburn AP (1934) Mass transfer (absortion) coefficients. Ind Eng Chem 26:1183–1183

    Article  Google Scholar 

  36. Schlichiting H (1979) Boundary-Layer theory, 7th edn. McGraw Hill Book company, New York, p 93

    Google Scholar 

  37. Dirling RB Jr (1973) A method for computing rough wall heat transfer rates on re-entry nose tips. AIAA Paper 73–763, July (1973)

  38. Liou TM, Change Y, Hwang DW (1990) Experimental and computational study of turbulent flows in a channel with two pairs of turbulent promoters in tandem. J Fluids Eng 112:302–310

    Article  Google Scholar 

  39. Liou TM, JJ Hwang Y, Change SH (1993) Simulation and measurement of enhanced turbulent heat transfer in a channel with periodic ribs on one wall. Int J Heat Mass Transf 36:507–517

    Article  Google Scholar 

  40. Leonardi S, Orlandi P, Smalley RJ, Djenidi L, Antonia AA (2003) Direct numerical simulation of turbulent channel flow with transverse square bars on one wall. J Fluid Mech 491:229–238

    Article  MATH  Google Scholar 

  41. Rama Rao NV, Baird MHI (2000) Heat transfer in a reciprocating plate column. Can J Chem Eng 78:1056–1064

    Article  Google Scholar 

  42. Mackley MR, Stonestreet P (1995) Heat transfer and associated energy dissipation for oscillatory flow in baffled tubes. Che Eng Sci 50(14):2211–2224

    Article  Google Scholar 

  43. Mantle PL (1966) New type of roughened heat transfer surface selected by flow visualization techniques. Int Heat Transf Conf Proc 1:45–55

    Google Scholar 

  44. Rao CK (1969) A Study on the effect of turbulence promoters on convective heat transfer. M.Sc. Thesis University of New Brunswick

  45. Rama Raju CV, Ramalinga Sastry A, Raju GJVJ (1969) Ionic mass transfer at vibrating plates. Indian J Technol 7:35–38

    Google Scholar 

  46. Kumar P, Judd RL (1970) Heat transfer with coiled wire turbulence promoters. Can J Chem Eng 48:378–383

    Google Scholar 

  47. Leitz FB, Marincic L (1977) Enhanced mass transfer in electrochemical cells using turbulent promoters. J Appl Electrochem 7:473–484

    Article  Google Scholar 

  48. Nishimura T, Bian YN, Kunitsugu K (2004) Mass transfer enhancement in a wavy-walled tube by imposed oscillation. AIChEJ 50(4):762–770

    Article  Google Scholar 

  49. Nishimura T, Kojima N (1995) Mass transfer enhancement in a symmetric sinusoidal wavy-walled channel for pulsatile flow. Int J Heat Mass Transf 38(9):1719–1731

    Article  Google Scholar 

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Gomaa, H.G., Taweel, A.M.A. Intensification of inter-phase mass transfer: the combined effect of oscillatory motion and turbulence promoters. Heat Mass Transfer 43, 371–379 (2007). https://doi.org/10.1007/s00231-006-0110-1

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  • DOI: https://doi.org/10.1007/s00231-006-0110-1

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