On the asymptotic analysis of surface-stress-driven thin-layer flow

Journal of Engineering Mathematics

Volumn 39, Issue 1, 2001, Pages 171-188

  Schwartz, L W ^a  

^a UNIVERSITY OF DELAWARE   (United States)

Author keywords

Asymptotic analysis; Finite contact angle; Marangoni effect; Numerical simulation; Thin layer flow

Indexed keywords

COATING TECHNIQUES; CONTACT ANGLE; LUBRICATION; UNSTEADY FLOW;

THIN-LAYER FLOW;

SURFACE TENSION;

CONTACT ANGLE; FILM THICKNESS; LIQUID FILM; MARANGONI EFFECT; MATHEMATICAL MODELING; STRESS;

EID: 0035044466     PISSN: 00220833     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1004855022321     Document Type: Article

References (35)

1. Nonisothermal spreading of liquid drops on horizontal plates
2. The effect of an axial temperature gradient on the steady motion of a large droplet in a tube
3. Thermocapillary migration of a two-dimensional liquid droplet on a solid surface
4. Thermocapillary migration of long bubbles in cylindrical capillary tubes
5. Thermocapillary pumping of discrete drops in microfabricated analysis devices
6. The dynamics of thin liquid films in the presence of surface-tension gradients
7. Fingering instability of thin spreading films driven by temperature gradients
8. Hydrodynamic fingering instability of driven wetting films
9. Thickness and shape of films driven by Marangoni flow
10. The drag-out problem in film coating theory
11. A theoretical study of instabilities at the advancing front of thermally driven coating films
12. Stabilizing the advancing front of thermall driven climbing films
13. Fingering phenomena for driven coating films
14. The thickness of surface-tension-gradient-driven spreading films
15. Liquid morphologies on structured surfaces: From microchannels to microchips
16. Prediction of contact angles on the basis of the Frumkin-Derjaguin approach
17. The definition and magnitude of disjoining pressure and its role in the statics and dynamics of thin fluid films
18. Wetting hydrodynamics
19. Nonlinear dynamics of dewetting: Kinetically stable structures
20. Hysteretic effects in droplet motions on heterogeneous substrates: Direct numerical simulation
21. Simulation of droplet motion on low-energy and heterogeneous surfaces
22. Contact line stability and undercompressive shocks in driven thin film flow
23. Undercompressive shocks in thin film flows
24. Rarefaction-undercompressive fronts in driven films
25. On the derivation of evolution equations for interfacial waves
26. A numerical and asymptotic study of some third- Order ordinary differential equations relevant to draining and coating flows
27. The equilibrium shapes of interfaces, drops and bubbles
28. Hydrodynamic model of steady movement of a solid liquid fluid contact line
29. Effective slip in numerical calculations of moving-contact-line problems
30. Dynamic considerations in the closing and opening of holes in thin liquid films
31. Role of surface tension gradients in correcting coating defects in corners