Abstract
Using lubrication theory, drying processes of sessile colloidal droplets on a solid substrate are studied. A simple model is proposed to describe temporal dynamics of both the shape of the drop and the volume fraction of the colloidal particles inside the drop. The concentration dependence of the viscosity is taken into account. It is shown that the final shapes of the drops depend on both the initial volume fraction of the colloidal particles and the capillary number. The results of our simulations are in a reasonable agreement with the published experimental data. Computations for the drops of aqueous solution of human serum albumin are presented.
Similar content being viewed by others
References
Anderson DM, Davis SH (1995) The spreading of volatile liquid droplets on heated surfaces. Phys Fluids 7(2):248–265
Annarelli CC, Fornazero J, Bert J, Colombani J (2001) Crack patterns in drying protein solution drops. Eur Phys J E 5(5):599–603
Bhardwaj R, Fang X, Attinger D (2009) Pattern formation during the evaporation of a colloidal nanoliter drop: a numerical and experimental study. New J Phys 11(7):075,020
Brutin D, Sobac B, Loquet B, Sampol J (2011) Pattern formation in drying drops of blood. J Fluid Mech 667:85–95
Burelbach JP, Bankoff SG, Davis SH (1988) Nonlinear stability of evaporating/condensing liquid films. J Fluid Mech 195:463–494
Chashechkin YD, Bardakov RN (2010) Formation of texture in residue of a drying drop of a multicomponent fluid. Dokl Phys 55(2):68–72
Craster RV, Matar OK, Sefiane K (2009) Pinning, retraction, and terracing of evaporating droplets containing nanoparticles. Langmuir 25(6):3601–3609
Deegan RD, Bakajin O, Dupont TF, Huber G, Nagel SR, Witten TA (2000) Contact line deposits in an evaporating drop. Phys Rev E 62(1):756–765
Fischer BJ (2002) Particle convection in an evaporating colloidal droplet. Langmuir 18(1):60–67
Hu H, Larson RG (2005) Analysis of the microfluid flow in an evaporating sessile droplet. Langmuir 21(9):3963–3971
Jung Y, Kajiya T, Yamaue T, Doi M (2009) Film formation kinetics in the drying process of polymer solution enclosed by bank. Jpn J Appl Phys 48:031,502
Kim HS, Park S, Hagelberg F (2010) Computational approach to drying a nanoparticle-suspended liquid droplet. J Nanopart Res 13:59–68
Kistovich AV, Chashechkin YD, Shabalin VV (2010) Formation mechanism of a circumferential roller in a drying biofluid drop. Tech Phys 55:473–478
Koch C (1954) Feinbau und Entstehungsweise von Kristallstrukturen in getrockneten Tropfen hochmolekularsalzhaltiger Flüssigkeiten. Colloid Polym Sci 138:81–86
Koch C (1956) Über Austrocknungssprünge. Colloid Polym Sci 145:7–14
Lin Z (ed) (2010) Evaporative self-assembly of ordered complex structures. World Scientific, Singapore
Lychagov VV, Kalyanov AL, Ryabukho VP (2009) Low-coherence interference microscopy of the internal structure of crystallized blood plasma. Opt Spectrosc 107:859–865
Monkos K (2004) On the hydrodynamics and temperature dependence of the solution conformation of human serum albumin from viscometry approach. Biochim Biophys Acta Protein Proteomics 1700(1):27–34
Monkos K (2005) Determination of some hydrodynamic parameters of ovine serum albumin solutions using viscometric measurements. J Biol Phys 31:219–232
Okuzono T, Aoki N, Kajiya T, Doi M (2010) Effects of gelation on the evaporation rate of polymer solutions. J Phys Soc Jpn 79(9):094,801
Okuzono T, Kobayashi M, Doi M (2009) Final shape of a drying thin film. Phys Rev E 80(2):021,603
Ozawa K, Nishitani E, Doi M (2005) Modeling of the drying process of liquid droplet to form thin film. Jpn J Appl Phys 44:4229–4234
Parisse F, Allain C (1996) Shape changes of colloidal suspension droplets during drying. J Phys II France 6(7):1111–1119
Pauchard L, Parisse F, Allain C (1999) Influence of salt content on crack patterns formed through colloidal suspension desiccation. Phys Rev E 59(3):3737–3740
Petsi AJ, Kalarakis AN, Burganos VN (2010) Deposition of Brownian particles during evaporation of two-dimensional sessile droplets. Chem Eng Sci 65(10):2978–2989
Popov YO (2005) Evaporative deposition patterns: spatial dimensions of the deposit. Phys Rev E 71(3):036,313
Ragoonanan V, Aksan A (2008) Heterogeneity in desiccated solutions: implications for biostabilization. Biophys J 94(6):2212–2227
Rapis E (2003) Protein and life (self-assembling and symmetry of protein nanostructures). Philobiblion, Jerusalem
Reyes L, Bert J, Fornazero J, Cohen R, Heinrich L (2002) Influence of conformational changes on diffusion properties of bovine serum albumin: a holographic interferometry study. Colloids Surf B Biointerfaces 25(2):99–108
Savina LV (1999) Crystalloscopic structures of blood serum of healthy people and patients. Sov Kuban, Krasnodar
Shabalin VN, Shatohina SN (2001) Morphology of human biological fluids. Khrizostom, Moscow
Sole A (1954) Die rhythmischen Kristallisationen im Influenzstagogramm. Colloid Polym Sci 137:15–19
Takhistov P, Chang HC (2002) Complex stain morphologies. Ind Eng Chem Res 41(25):6256–6269
Tarasevich YY (2004) Mechanisms and models of the dehydration self-organization in biological fluids. Physics-Uspekhi 47(7):717–728
Tarasevich YY, Isakova OP, Kondukhov VV, Savitskaya AV (2010) Effect of evaporation conditions on the spatial redistribution of components in an evaporating liquid drop on a horizontal solid substrate. Tech Phys 55:636–644
Tarasevich YY, Pravoslavnova DM (2007) Drying of a multicomponent solution drop on a solid substrate: Qualitative analysis. Tech Phys 52:159–163
Tarasevich YY, Pravoslavnova DM (2007) Segregation in desiccated sessile drops of biological fluids. Eur Phys J E 22(4):311–314
Vodolazskaya IV, Tarasevich YY, Isakova OP (2010) The model of phase boundary motion in drying sessile drop of colloidal solution. Nonlinear World 8(3):142–150
Widjaja E, Harris M (2008) Particle deposition study during sessile drop evaporation. AIChE J 54(9):2250–2260
Witten TA (2009) Robust fadeout profile of an evaporation stain. EPL (Europhys Lett) 86(6):64,002
Yakhno T (2008) Salt-induced protein phase transitions in drying drops. J Colloid Interface Sci 318(2):225–230
Yakhno TA, Yakhno VG (2009) Structural evolution of drying drops of biological fluids. Tech Phys 54:1219–1227
Yakhno TA, Yakhno VG, Sanin AG, Sanina OA, Pelyushenko AS (2004) Protein and salt: spatiotemporal dynamics of events in a drying drop. Tech Phys 49:1055–1063
Zheng R (2009) A study of the evaporative deposition process: pipes and truncated transport dynamics. Eur Phys J E: Soft Matter Biol Phys 29:205–218
Acknowledgements
The authors would like to thank T.A. Yakhno for the photo (Fig. 8). This work has been supported by the Russian Foundation for Basic Research, project no. 09-08-97010-r_povolzhje_a.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Tarasevich, Y.Y., Vodolazskaya, I.V. & Isakova, O.P. Desiccating colloidal sessile drop: dynamics of shape and concentration. Colloid Polym Sci 289, 1015–1023 (2011). https://doi.org/10.1007/s00396-011-2418-8
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00396-011-2418-8