Kinetic of drop spreading - OMICS Publishing Group

Kinetic of drop spreading - OMICS Publishing Group

OMICS International OMICS International through its Open Access Initiative is committed to make genuine and reliable contributions to the scientific community. OMICS International journals have over 3 million readers and the fame and success of the same can be attributed to the strong editorial board which contains over 30000 eminent personalities that ensure a rapid, quality and quick review process. OMICS International signed an agreement with more than 1000 International Societies to make healthcare information Open Access. Contact us at: [email protected] OMICS Journals are welcoming Submissions OMICS International welcomes submissions that are original and technically so as to serve both the developing world and developed countries in the best possible way.

OMICS Journals are poised in excellence by publishing high quality research. OMICS International follows an Editorial Manager System peer review process and boasts of a strong and active editorial board. Editors and reviewers are experts in their field and provide anonymous, unbiased and detailed reviews of all submissions. T he journal gives the options of multiple language translations for all the articles and all archived articles are available in HTML, XML, PDF and audio formats. Also, all the published For more details please our website: articles are archivedvisit in repositories and indexing services like DOAJ, CAS, Google http://omicsonline.org/Submitmanuscr

Main Scientific Interests Victor M Starov Department of Chemical Engineering, Loughborough University, UK SCIENTIFIC INTERESTS KINETICS OF SPREADING MEMBRANE SEPARATION KINETICS OF REVERSIBLE COAGULATION RHEOLOGY OF CONCENTRATED SUSPENSIONS PUBLICATIONS

259 PRESENTATIONS AT SCIENTIFIC MEETINGS 200 h-index 29 Sitations 2816 PHD STUDENTS SUPERVISED More than 35

DSc SUPERVISED 3 OUTLINE SURFACE FORCES ACTION SPREADING OVER POROUS SUBSTRATES: SATURATED AND DRY, SURFACTANT SOLUTIONS SPREADING OVER SURFACES COVERED WITH FATTY ACID OR LIPID LAYERS SPREADING OVER HYDROPHOBIC SURFACES SUSFACTANTS ON THIN WATER LAYERS IMBIBITION INTO POROUS MEDIA A water droplet on three different substrates

contact angle Teflon Non-wetting, /2 Glass or mica Partial wetting, 0

Disjoining pressure: 1 Complete wetting 2 Partial wetting S S cos 1 Disjoining pressure determines the liquid shape in the transition zone Contact angle Static advances and receding contact angles on smooth homogeneous substrates Deformation of soft solids in contact with transition zone Non-flat liquid layers Line tension

Influence of roughness Motion of drops/bubbles in thin capillaries Kinetics of spreading in the case of Experimental set-up 1-substrate, 2-hermetically closed, thermo stated chamber, 3-liquid drop, 4-syringe, 5, 14- front view and view from above CCD cameras, 6, 11-VCRs, 7, 13- light sources, 8, 12 collimating lenses, 9,14-tele-photo objectives, 15-flash gun, 16-PC. SPREADING OVER SATURATED POROUS LAYERS Spreading over saturated porous layers

Outer solution Matching of outer and inner solutions results in spherical cap L(t)t) L0 1 t Spreading law dL dt 3 3 L L

0.1 , 0 0 10 4V Effective lubrication coefficient can be both experimentally determined and calculated

3 SILICONE OILS ON NITROCELLULOSE MEMBRANES Fitted as: V 4 3 10 t L L0 1 10 L0 L L0 (t)1 t / )n

0.29 L, cm 3 0.28 0.27 0.26 1 - 12 point 0.25 n

0.24 0.23 0.13 0.01 3 - 12 point 0.22 n 0.11 0.01 0.21 0.20 0.19 0.0

0.5 1.0 1.5 2.0 2.5 0.1 Initial stage differs from the capillary regime! -1.20 -1.25 ln L -1.30 -1.35

-1.40 -1.45 -1.50 -1.55 -1.60 -2.0 -1.5 -1.0 -0.5 ln t 0.0 0.5 1.0

EXPERIMENTAL VALUES OF EFFECTIVE LUBRICATION COEFFICIENT SPREADING OVER DRY POROUS LAYERS SIMULTENEOUS SPREADING AND IMBIBITION INTO THE POROUS SUBSTRATE COMPLETE WETTING Spreading over dry porous substrates radius of the drop base, radius of the wetted region inside the porous layer, (tt) dynamic contact angle L(t) l(t)

DRY POROUS SUBSTRATE Drop volume V (t)t ) V0 m l (t)t ) 2 SPREADING SHRINKAGE d v Ld v t velocity of spreading velocity of shrinkage SPREADING OF LIQUID

DROPS OVER DRY POROUS LAYERS: COMPLETE WETTING CASE 0. 0. 2/ 2 1 4V3 10 3 dL 1 mK t t0. 3 d 0.1

0 9 t K p pc / dl dt l l ln L p c p

4 V 0 ml Kppc is determined independently NO FITTING PARAMETERS 1/ 3 2 2

1 ln l L CAPILLARY IMBIBITION: DETERMINATION OF Kp pc d Experimental set-up 1-membrane, 2-lifting up/down device, 3-thermo stated chamber, 4Petri dish with liquid, 5-optical glass windows, 6-CCD camera, 7video tape-recorder, 8- PC Capillary imbibition of silicone oils: independent determination of Kp pc d 2 (t) 2K p

p c t / 0.9 0.4 - linear fit 0.3 0.5*d2 d, cm 0.6 0.2

0.3 0.1 0.0 0 30 60 t, s Nitrocellulose membrane 0.22 m 90 0.0 0 20

40 60 t, s 80 10 SPREADING OF SILICONE OILS OVER DRY NITROCELLULOSE MEMBRANES 8 L, l mm 7 6

SO20 V0 =3.1 mm3, r=0.2 SO20 V =9.0 mm3, r=0.2 0 5 SO20 V0 =15.6 mm3, r=0.2 SO20 V =3.8 mm3, r=3 l upper parts 0 SO20 V0 =5.5 mm3, r=3

SO100 V =8.6 mm3, r=3 4 0 SO100 V0 =14.5 mm3, r=3 SO500 V =3.6 mm3 , r=3 3 3 SO500 V00 =8.7 mm , r=3 SO500 V =14.5 mm3, r=3 2

0 L lower parts 1 0 0 500 1000 t, s 1500

Dimensionless values L L / Lm , l l / l * , t t / t*5 * l L, l, mm 4 Lm 3 2 1 0 t 0

60 120 t, s * 180 Universal behaviour: solid lines according to our theory predictions L L / Lm , l l / l * , t t / t* 1.0 1 .0 l

L 3 L S O 2 0 V0 = 3 .1 m m3 , r= 0 .2 3 S O 2 0 V0 = 9 .0 m m , r= 0 .2 3 S O 2 0 V0= 3 .8 S Om2 ,0 r= V03= 1 5 .6 m m 3 , r= 0 .2 m S O 2 0 V0 = 5 .5 m m , 3 r= 3 0.5

0 .5 3 S O 1 00 V0 = 8 .6 m m , r= 3 3 S O 1 00 V0 = 1 4 .5 m m 3 , r= 3 3 S O 5 00 V0 = 3 .6 m m , r= 3 S O 5 00 V0 = 8 .7 m m , r= 3 S O 5 00 V0 = 1 4 .5 m m , r= 3 T he o ry 0.0 0.0 0 .5

t 0 .0 1 .0 Universal behaviour: / m solid line according to our theory predictions 5 S O 2 0 V 0 =3.1 m m 3, r=0.2 S O 2 0 V 0 =9.0 m m 3, r=0.2 4 S O 2 0 V 0 =15.6 m m 3, r=0.2 S O 2 0 V 0 =3.8 m m 3, r=3 S O 2 0 V 0 =5.5 m m 3, r=3 / m

S 100 V 0 =8.6 m m 3, r=3 S O 1 0 0 V 0 =1 4 .5 m m 3, r =3 3 S O 5 00 V 0 =3.6 m m 3, r=3 S O 5 00 V 0 =8.7 m m 3, r=3 S O 5 0 0 V 0 =1 4 .5 m m 3, r =3 T heory 2 1 0 0.0 0.2 0.4

0.6 t e constant over the second stage! 0.8 1.0 SPREADING OF LIQUID DROPS OVER THICK POROUS LAYERS COMPLETE WETTING CASE SPREADING OF LIQUID DROPS OVER THICK POROUS LAYERS: COMPLETE WETTING CASE (t) effective contact angle

Different viscosities, the same glass filter 1.0 1.0 5 0.8 0.8 4 0.6 0.6 3

0.4 0.4 0.2 0.2 1 0.0 0 0.0 0.4 0.6 t/t

1.0 2 0.0 0.2 0.4 1.0 * UNIVERSAL BEHAVIOU R 0.8 porosity 0.53

average pore size 4.7 m 0.6 t/t * 0.8 0.6 0.2 0.0 m

l/l L/L 1 2 3 * * 0.4 0.2 0.0 0.0 0.2

0.4 0.6 t/t * 0.8 1.0 1 5 c P 2 cP 3 500 cP 0.8 1.0

Glass and metal filters with similar properties 4 1 2 m 3 2 1 0 0.0 0.2

0.4 0.6 t/t 0.8 * UNIVERSAL BEHAVIOUR 1-metal filter: m=0.32, r=26.1 m. 2-glass filter: m=0.31, r=26.8 m Silicone oil 5 c P 1.0 Glass filters: different porosity

and averaged pore sizes, 500 cP 5 4 1 2 m 3 2 1 0 0.0 0.2

0.4 0.6 0.8 t/t* Stage 1 difference Stage 2 universal behaviour 1 m= 0.56; r= 3.7 m 2 m= 0.31; r=26.8 m 1.0 SPREADING OF SDS SOLUTIONS

INFLUENCE OF HYSTERESIS PARTIAL WETTING SPREADING OF SDS SOLUTIONS OVER NITROCELLULOSE MEMBRANES: influence of hysteresis THREE STAGES OF SPREADING 1 decreases, L, 1.5 1 1. 0 m

increases until the 2 maximum L constant,value decreases linearly 3 L decreases, 1. 0 constant L/ L r=0.22 m 2.0 1.0 2 m

l/l 0. 8 * 0. 8 0. 6 0. 6 0.5 3 0.0 0.0

0. 4 0. 4 0. 2 0. 2 0. 0 0. 0 0. 2 0.

4 t/ 0. 6 0. 8 0. 1. 0 0 0.2 0.4 0.6 0.8

t/t* a advancing contact angle e constant contact angle 1.0 Contact angle hysteresis: influence SDS concentration 1.0 1.0 L/Lm * l/l 0.8

0.8 0.6 0.6 0.4 0.4 0.2 0.2 0.0 0.0 0.0 0.2

0.4 0.6 0.8 1.0 t/t* HYSTERESIS DECREASES WITH SDS CONCENTRATION r=0.22 m SDS 0% 0.1% 0.2% 0.5%

Contact angle hysteresis: influence of SDS concentration HYSTERESIS ON NON-POROUS NITROCELLULOSE SUBSTRATE 70 a advancing contact angle r receding contact angle 60 50 a r (degree) 40 30

20 10 0 0.0 0.2 0.4 0.6 0.8 SDS concentration, % 1.0 Pore size influence: WEAK DEPENDENCY

1.0 1.0 L/Lm l/l* 0.8 0.8 0.6 0.6 0.4 0.4 0.2

0.2 0.0 0.0 0.0 0.2 0.4 0.6 t/t* 0.8 1.0 SDS 0.1%

r1=0.22m r2=0.45m r3=3.0m SPREDING OVER FATTY ACID SURFACES OR LIPID LAYERS SOLID SUBSTRATE WITH ROTATIONALLY MOBILE CHAINS OF FATTY ACID NO LATERAL INTERACTION NO SPREADING SPREADING OVER HYDROPHOBIC SUBSTRATES SPREADING OF DROPS (2.50.2 l) OF

0.05% SDS SOLUTION OVER PTFE WAFER THEORY PREDICTION TRANSITION TIME, ON CONCENTRATION SPREADING OF SDS SOLUTIONS OVER PTMF SURFACTANTS ON THIN WATER LAYERS: MARANGONI FLOW SURFACTANT ON THIN WATER LAYER R(t)t) 100 R (mm)

10 0.01 0.1 t (s) 1 10 100 R (mm) 10 0.01 1/4

0.1 t (s) 1 10 Capillary imbibition of surfactant solutions NON-WETTING SYNTAMID-5 ON HYDROPHOBISED QUARTZ SURFACE IMBIBITION OF SURFACTANT SOLUTIONS INTO HYDROPHOBISED QUARTZ CAPILLARIES SPONTANEOUS

Imbibition length, l, on time, t , Syntamide-5 horizontal hydrophobized quartz capillary, r = 16 m. 1 1 0.05%; 2 0.1%; 3 0.4%; 4 0.5%; 5 1%. CAPILLARY IMBIBITION OF SURFACTANT SOLUTIONS PARTIAL WETTING Capillary imbibition of surfactant solutions: partial wetting d 2 (t) 2K pt p c

/ 0.9 0.4 0.3 d, cm 0.5*d2 0.6 0.2 0.3 0.1 0.0

0.0 0 30 60 t, s Nitrocellulose membrane SDS concentration 0.1% Average pore size 0.22 90 0 20 40

60 t, s 80 10 Capillary imbibition of SDS solutions: nitrocellulose membranes 0.04 Kppc 0.03 'MILLIPORE'

0.22mkm 0.45mkm 3.0 mkm 0.02 0.01 0.00 0.0 0.2 0.4 0.6 SDS-concentrations, % 0.8

1.0 Capillary imbibition of surfactant solutions Theory rcr 2 a min cos max 2 2DcCMC I.r < rcr Surfactant concentration is zero on the moving meniscus at any SDS concentration: pure water on the meniscus! Surfactant concentration increases on the moving meniscus with SDS concentration,

which results in faster imbibition. II.r > rcr INFLUENCE OF CLUSTER FORMATION ON VISCOSITY OF CONCENTRATED SUSPENSIONS/EMULSIONS Cluster formation in yeast suspensions 50 m = 0.002 = 0.02 =

0.04 100 m No clusters Cluster formation Viscosities are different though particle volume fractions are equal eff m Viscosity on volume fraction of dispersed particles. Experimental data from review (t)Thomas), solid lines according to our equation 1.m=1, A=1 (t)particles do not form clusters) 2.m =0.73 (t)close to

hexagonal packing of particles inside clusters), A=0.61 3.m =0.65 (t)close to cubic centered packing of particles inside clusters), A=0.67 4.m =0.56 (t)close to simple cubic packing of particles inside clusters), A=0.72 EMULSIONS Developed flocculation m density of droplets inside flocs Theory of reversible coagulation f

0.3 1 0.25 0.2 0.15 2 0.1 3 0.05 4 0 0

2 4 6 * * volume fraction when clusters start to form Low flocculated emulsion 10 eff

m eff 0 1 0.0 0.1 0.2 0.3 0.4 Milk at different volume fractions of fat (t)Leviton, A, and Leighton, A., 1936).

Curve 1 our theory (t)cluster Curve 2 formation) no cluster DEADEND ULTRAFILTRATION Water soluble polymer, n-repeated units (t)n=5) Dissociation/association of each unit Cp/Cf >1 Cp/Cf >1

Chemical Sciences Related Journals Journal of Thermodynamics & Cataly sis Journal of Plant Biochemistry & Physiology Organic Chemistry: Current R esearch Chemical Sciences Related Conferences Medicinal Chemistry & Computer Aided Drug Designi ng 3rd International Conference on Medicinal Chemist ry & Computer Aided Drug Designing OMICS International Open Access Membership OMICS International Open Access Membership enables academic and

research institutions, funders and corporations to actively encourage open access in scholarly communication and the dissemination of research published by their authors. For more details and benefits, click on the link below: http://omicsonline.org /membership.php

Recently Viewed Presentations

  • Finite Strip Analysis - Department of Civil Engineering

    Finite Strip Analysis - Department of Civil Engineering

    Finite strip analysis is one efficient method for calculating elastic buckling behavior. Introduction No new theory: Finite strip analysis uses the same "thin plate" theory employed in classical plate buckling solutions (e.g., k = 4) already in current use.
  • Photogrammetry - Asad Iqbal

    Photogrammetry - Asad Iqbal

    After mid 60's - advent of computer and plotting has made photogrammetric mapping accurate and affordable. Photogrammetry for Engineering Defined: Photogrammetry is the process of measuring images on a photograph. Modern photogrammetry also uses radar imaging, radiant electromagnetic energy detection...
  • QOD #5 - Rathjen Science!

    QOD #5 - Rathjen Science!

    Kilograms - kg. 1 kg = 1000 g. 1 kg = the mass of bottled water. 1 kg ~ 2 pounds (lbs) What is my mass in kg? (Your weight ÷ 2 ~ _____ kg) Weight - a measure of...
  • Albany plan of union - Mater Academy Lakes High School

    Albany plan of union - Mater Academy Lakes High School

    Seven colonial delegates met in Albany, NY in 1754 to discuss guidelines for a form a government which led to Benjamin Franklin's proposal of the "Plan of Union". Franklin's guidelines set the framework for a colonial government, and a way...
  • D. Marketing in Small Business

    D. Marketing in Small Business

    Observe changes in consumer preferences and trends. Terms related to product/service planning Product/service planning: Process of developing the product/service mix for a business by incorporating decisions relating to market opportunities. Product mix: All the products a business makes or sells.
  • Chapter 3 Linear Regression and Correlation

    Chapter 3 Linear Regression and Correlation

    Chapter 3 Linear Regression and Correlation Descriptive Analysis & Presentation of Two Quantitative Data Chapter Objectives To be able to present two-variables data in tabular and graphic form Display the relationship between two quantitative variables graphically using a scatter diagram.
  • Certificate programme in Telecommunications Policy ...

    Certificate programme in Telecommunications Policy ...

    of the information from the time when it was first. generated in its final form, as a data message or. otherwise; and • The information is capable of being displayed to. person to whom it is to be presented. (UNCITRAL...
  • Marketing Research Essentials

    Marketing Research Essentials

    Creating the Research Design Descriptive Studies: who what where when how Causal Studies: concomitant variation spurious association The Marketing Research Process To learn the steps involved in the marketing research process.