The motion of a viscous drop is investigated when the interface is
fully covered with a stagnant layer of surfactant in an arbitrary
unsteady Stokes flow for the low surface Péclet number limit. The
effect of the interfacial slip coefficient on the behavior of the
flow field is also considered. The hydrodynamic problem is solved
by the solenoidal decomposition method and the drag force is computed
in terms of Faxen's laws using a perturbation ansatz in powers of
the surface Péclet number. The analytical expressions for the migration
velocity of the drop are also obtained in powers of the surface Péclet
number. Further instances corresponding to a given ambient flow as
uniform flow, Couette flow, Poiseuille flow are analyzed. Moreover,
it is observed that, a surfactant-induced cross-stream migration
of the drop occur towards the centre-line in both Couette flow and
Poiseuille flow cases. The variation of the drag force and migration
velocity is computed for different parameters such as Péclet number,
Marangoni number etc.
%0 Journal Article
%1 rajasekhar2018effect
%A Raja Sekhar, G. P.
%A Sharanya, V.
%A Rohde, Christian
%D 2018
%J International Journal of Multiphase Flow
%K ians imported vorlaeufig
%P 82-103
%T Effect of surfactant concentration and interfacial slip on the flow
past a viscous drop at low surface Péclet number
%U http://arxiv.org/abs/1609.03410
%V 107
%X The motion of a viscous drop is investigated when the interface is
fully covered with a stagnant layer of surfactant in an arbitrary
unsteady Stokes flow for the low surface Péclet number limit. The
effect of the interfacial slip coefficient on the behavior of the
flow field is also considered. The hydrodynamic problem is solved
by the solenoidal decomposition method and the drag force is computed
in terms of Faxen's laws using a perturbation ansatz in powers of
the surface Péclet number. The analytical expressions for the migration
velocity of the drop are also obtained in powers of the surface Péclet
number. Further instances corresponding to a given ambient flow as
uniform flow, Couette flow, Poiseuille flow are analyzed. Moreover,
it is observed that, a surfactant-induced cross-stream migration
of the drop occur towards the centre-line in both Couette flow and
Poiseuille flow cases. The variation of the drag force and migration
velocity is computed for different parameters such as Péclet number,
Marangoni number etc.
@article{rajasekhar2018effect,
abstract = {The motion of a viscous drop is investigated when the interface is
fully covered with a stagnant layer of surfactant in an arbitrary
unsteady Stokes flow for the low surface P\'eclet number limit. The
effect of the interfacial slip coefficient on the behavior of the
flow field is also considered. The hydrodynamic problem is solved
by the solenoidal decomposition method and the drag force is computed
in terms of Faxen's laws using a perturbation ansatz in powers of
the surface P\'eclet number. The analytical expressions for the migration
velocity of the drop are also obtained in powers of the surface P\'eclet
number. Further instances corresponding to a given ambient flow as
uniform flow, Couette flow, Poiseuille flow are analyzed. Moreover,
it is observed that, a surfactant-induced cross-stream migration
of the drop occur towards the centre-line in both Couette flow and
Poiseuille flow cases. The variation of the drag force and migration
velocity is computed for different parameters such as P\'eclet number,
Marangoni number etc.},
added-at = {2018-07-20T10:54:17.000+0200},
author = {Raja Sekhar, G. P. and Sharanya, V. and Rohde, Christian},
biburl = {https://puma.ub.uni-stuttgart.de/bibtex/2edb02f694a9fe35446159d0e2fc700cb/mathematik},
interhash = {14a4303748c39aa35247dc043faf0b3d},
intrahash = {edb02f694a9fe35446159d0e2fc700cb},
journal = {International Journal of Multiphase Flow},
keywords = {ians imported vorlaeufig},
owner = {szur},
pages = {82-103},
timestamp = {2019-12-18T14:37:55.000+0100},
title = {Effect of surfactant concentration and interfacial slip on the flow
past a viscous drop at low surface Péclet number},
url = {http://arxiv.org/abs/1609.03410},
volume = 107,
year = 2018
}