Abstract
We consider the flow of a uniform thin layer (rivulet, trickle) of viscous fluid down an inclined plane driven simultaneously by a surface tension gradient. Using a lubrication approximation we determine the rates of flow due to various tension gradients.
Authors
E. Borsa
University of Oradea
C.I. Gheorghiu
Tiberiu Popoviciu Institute of Numerical Analysis
Tiberiu Popoviciu Institute of Numerical Analysis
Keywords
viscous flow; thin film approximation; surface tension gradient; asymptotic analysis; rate of flow
References
See the expanding block below.
Cite this paper as
E. Borşa, C.I. Gheorghiu, On the Marangoni flow on an inclined plane, Bul. Inst. Politehnic din Iaşi, Supliment Mecanica Fluidelor, XLVI(L) (2000) suppl., pp. 61-64.
?
About this paper
Journal
Buletinul Institutului Politehnic Iași
Publisher Name
Universitatea Tehnica ”Gh. Asachi”, Iași
Paper on journal website
?
Print ISSN
1011-2855
Online ISSN
MR
?
ZBL
?
Google Scholar
?
[1] Allen, R.F., Biggin C.M., Longitudinal flow of a lenticular liquid filament down an inclined plane, Phys.Fluids. 17, 287-291, 1974.
[2] Amick, C.J., Properties of steady Navier-Stokes solutions for certain unbounded channels and pipes, nonlinear analysis, Theory, Methods and Applications, 2, 686-720, 1978.
[3] Duffy, B.R., Moffatt, H.K., Flow of a viscous trickle on a slowly varying, The Chemical Engineering Journal 60, 141-146, 1995.
[3] Duffy, B.R., Moffatt, H.K., Flow of a viscous trickle on a slowly varying, The Chemical Engineering Journal 60, 141-146, 1995.
[4] Gheorghiu, C. I., An unified treatment of boundary layer and lubrication approximation in viscous fluid mechanics, accepted to Rev. D’Analyse Numer et de Theorie de l’Approximation, Cluj-Napoca.
[5] Ockendon H, Ockendon J.R., Viscous flow, Cambridge, University Press, 1995.
[6] Wilson S.K., Duffy B.R., On the gravity-driven draining of a rivulet of fluid down a slowly substrate with variation transverse to the direction of flow, Phys Fluids 10, 13-22, 1998.
?