TY - JOUR
T1 - Simple waves and shocks in a thin film of a perfectly soluble anti-surfactant solution
AU - Conn, J.J.A.
AU - Duffy, B.R.
AU - Pritchard, D.
AU - Wilson, S.K.
AU - Sefiane, K.
PY - 2017/8/3
Y1 - 2017/8/3
N2 - We consider the dynamics of a thin film of a perfectly soluble anti-surfactant solution in the limit of large capillary and Péclet numbers in which the governing system of nonlinear equations is purely hyperbolic. We construct exact solutions to a family of Riemann problems for this system, and discuss the properties of these solutions, including the formation of both simple-wave and uniform regions within the flow, and the propagation of shocks in both the thickness of the film and the gradient of the concentration of solute.
AB - We consider the dynamics of a thin film of a perfectly soluble anti-surfactant solution in the limit of large capillary and Péclet numbers in which the governing system of nonlinear equations is purely hyperbolic. We construct exact solutions to a family of Riemann problems for this system, and discuss the properties of these solutions, including the formation of both simple-wave and uniform regions within the flow, and the propagation of shocks in both the thickness of the film and the gradient of the concentration of solute.
UR - https://www.scopus.com/pages/publications/85026817270
U2 - 10.1007/s10665-017-9924-8
DO - 10.1007/s10665-017-9924-8
M3 - Article
SN - 0022-0833
VL - 107
SP - 167
EP - 178
JO - Journal of Engineering Mathematics
JF - Journal of Engineering Mathematics
IS - 1
ER -