Mathematical addenda to hopper's model of plane stokes flow driven by capillarity on a free surface

1993 ◽  
pp. 167-185 ◽  
Author(s):  
J. de Graaf
Keyword(s):  
Free Surface ◽  
Stokes Flow

Two Adjoint-Based Optimization Approaches for a Free Surface Stokes Flow

2011 ◽  
Vol 71 (6) ◽  
pp. 2168-2184 ◽  
Author(s):  
Sabine Repke ◽  
Nicole Marheineke ◽  
René Pinnau
Keyword(s):  
Free Surface ◽  
Stokes Flow

Plane Stokes flow driven by capillarity on a free surface

1990 ◽  
Vol 213 (-1) ◽  
pp. 349 ◽  
Author(s):  
Robert W. Hopper
Keyword(s):  
Free Surface ◽  
Stokes Flow

scholarly journals Numerical Solution of Steady Free-Surface Navier-Stokes Flow

2001 ◽  
pp. 305-310
Author(s):  
E. H. van Brummelen ◽  
H. C. Raven ◽  
B. Koren
Keyword(s):  
Free Surface ◽  
Numerical Solution ◽  
Stokes Flow ◽  
Navier Stokes

scholarly journals Shallow free-surface Stokes flow around a corner

2020 ◽  
Vol 378 (2174) ◽  
pp. 20190515 ◽  
Author(s):  
Edward M. Hinton ◽  
Andrew J. Hogg ◽  
Herbert E. Huppert
Keyword(s):  
Free Surface ◽  
Stokes Flow ◽  
Channel Wall ◽  
Laboratory Experiments ◽  
Lateral Spreading ◽  
Simple Expression ◽  
Lava Flows ◽  
Theme Issue ◽  
Inclined Plane ◽  
Downstream Distance

The steady lateral spreading of a free-surface viscous flow down an inclined plane around a vertex from which the channel width increases linearly with downstream distance is investigated analytically, numerically and experimentally. From the vertex the channel wall opens by an angle α to the downslope direction and the viscous fluid spreads laterally along it before detaching. The motion is modelled using lubrication theory and the distance at which the flow detaches is computed as a function of α using analytical and numerical methods. Far downslope after detachment, it is shown that the motion is accurately modelled in terms of a similarity solution. Moreover, the detachment point is well approximated by a simple expression for a broad range of opening angles. The results are corroborated through a series of laboratory experiments and the implication for the design of barriers to divert lava flows are discussed. This article is part of the theme issue ‘Stokes at 200 (Part 1)’.

Free Surface Stokes Flow Over an Obstacle

1986 ◽  
pp. 783-792 ◽  
Author(s):  
E. B. Hansen
Keyword(s):  
Free Surface ◽  
Stokes Flow
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