Two-Layer Flow with One Viscous Layer in Inclined Channels

Matar, O. K., Sisoev, G. M., and Lawrence, C. J.. "Two-Layer Flow with One Viscous Layer in Inclined Channels." Mathematical Modelling of Natural Phenomena 3.1 (2008): 126-148. <http://eudml.org/doc/222281>.

@article{Matar2008,
abstract = { We study pressure-driven, two-layer flow in inclined channels with high density and viscosity contrasts. We use a combination of asymptotic reduction, boundary-layer theory and the Karman-Polhausen approximation to derive evolution equations that describe the interfacial dynamics. Two distinguished limits are considered: where the viscosity ratio is small with density ratios of order unity, and where both density and viscosity ratios are small. The evolution equations account for the presence of inertia, gravity, capillarity and viscous retardation; attention is restricted to situations in which the flow is laminar. The results of our linear stability analysis and numerical simulations indicate that the flow is destabilised by positive channel inclination in the stably stratified case. The dependence of the nonlinear wave dynamics on system parameters is also explored.},
author = {Matar, O. K., Sisoev, G. M., Lawrence, C. J.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {slug flows; interfacial instability; two-layer flow; channel flow; modelling},
language = {eng},
month = {7},
number = {1},
pages = {126-148},
publisher = {EDP Sciences},
title = {Two-Layer Flow with One Viscous Layer in Inclined Channels},
url = {http://eudml.org/doc/222281},
volume = {3},
year = {2008},
}

TY - JOUR
AU - Matar, O. K.
AU - Sisoev, G. M.
AU - Lawrence, C. J.
TI - Two-Layer Flow with One Viscous Layer in Inclined Channels
JO - Mathematical Modelling of Natural Phenomena
DA - 2008/7//
PB - EDP Sciences
VL - 3
IS - 1
SP - 126
EP - 148
AB - We study pressure-driven, two-layer flow in inclined channels with high density and viscosity contrasts. We use a combination of asymptotic reduction, boundary-layer theory and the Karman-Polhausen approximation to derive evolution equations that describe the interfacial dynamics. Two distinguished limits are considered: where the viscosity ratio is small with density ratios of order unity, and where both density and viscosity ratios are small. The evolution equations account for the presence of inertia, gravity, capillarity and viscous retardation; attention is restricted to situations in which the flow is laminar. The results of our linear stability analysis and numerical simulations indicate that the flow is destabilised by positive channel inclination in the stably stratified case. The dependence of the nonlinear wave dynamics on system parameters is also explored.
LA - eng
KW - slug flows; interfacial instability; two-layer flow; channel flow; modelling
UR - http://eudml.org/doc/222281
ER -