Abstract
The flow of immiscible fluids in a confined flow channel is accompanied by a deformation of the surface of separation when the stability conditions are not fulfilled. A simplified schematic for the problem is given, and the characteristic surface perturbation is calculated analytically and numerically. The perturbation is characterized by a wavelength, an amplitude, and the shape of the perturbation at a sufficient distance from the front. Two asymptotic cases are fully discussed: the creation of a wave in the surface, and the shape of a fully developed perturbation. Experimental results from 2 Hele-Shaw models are in satisfactory agreement with the theoretical predictions. Further studies will be concerned with variable rate flow, geometrically divergent flow, layered flow with variable viscosity between layers, and non-Newtonian flow.
Citation Formats
Aribert, J M, and Thirriot, C.
Small and large amplitude movement of the unstable interface between two immiscible fluids.
Romania: N. p.,
1970.
Web.
Aribert, J M, & Thirriot, C.
Small and large amplitude movement of the unstable interface between two immiscible fluids.
Romania.
Aribert, J M, and Thirriot, C.
1970.
"Small and large amplitude movement of the unstable interface between two immiscible fluids."
Romania.
@misc{etde_5268329,
title = {Small and large amplitude movement of the unstable interface between two immiscible fluids}
author = {Aribert, J M, and Thirriot, C}
abstractNote = {The flow of immiscible fluids in a confined flow channel is accompanied by a deformation of the surface of separation when the stability conditions are not fulfilled. A simplified schematic for the problem is given, and the characteristic surface perturbation is calculated analytically and numerically. The perturbation is characterized by a wavelength, an amplitude, and the shape of the perturbation at a sufficient distance from the front. Two asymptotic cases are fully discussed: the creation of a wave in the surface, and the shape of a fully developed perturbation. Experimental results from 2 Hele-Shaw models are in satisfactory agreement with the theoretical predictions. Further studies will be concerned with variable rate flow, geometrically divergent flow, layered flow with variable viscosity between layers, and non-Newtonian flow.}
journal = []
volume = {15:2}
journal type = {AC}
place = {Romania}
year = {1970}
month = {Jan}
}
title = {Small and large amplitude movement of the unstable interface between two immiscible fluids}
author = {Aribert, J M, and Thirriot, C}
abstractNote = {The flow of immiscible fluids in a confined flow channel is accompanied by a deformation of the surface of separation when the stability conditions are not fulfilled. A simplified schematic for the problem is given, and the characteristic surface perturbation is calculated analytically and numerically. The perturbation is characterized by a wavelength, an amplitude, and the shape of the perturbation at a sufficient distance from the front. Two asymptotic cases are fully discussed: the creation of a wave in the surface, and the shape of a fully developed perturbation. Experimental results from 2 Hele-Shaw models are in satisfactory agreement with the theoretical predictions. Further studies will be concerned with variable rate flow, geometrically divergent flow, layered flow with variable viscosity between layers, and non-Newtonian flow.}
journal = []
volume = {15:2}
journal type = {AC}
place = {Romania}
year = {1970}
month = {Jan}
}