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- W2139633977 abstract "The nonlinear flow generated by a force of magnitude F 0 which is perpendicular to a plane interface is considered. For a weakly nonlinear field, up to F 0 = 10 v 2 ρ where v and ρ are the coefficient of kinematic viscosity and density of the fluid in which the force is applied, an analytic second-order approximation is constructed relating to a plane interface between two immiscible fluids. The nonlinear effects are appreciable even for forces as small as F 0 = 10 v 2 ρ and are more pronounced when the coefficient of viscosity of the fluid containing the force is much smaller than that of the adjacent fluid. The streamlines in the fluid containing the force form a closed eddy followed by an open set of curves and for certain values of the parameters of the problem these two sets merge. In the adjacent fluid the streamlines are open curves. For flow fields such that F 0 ≫ 10 v 2 ρ a numerical solution is constructed for the case where the interface is a free surface." @default.
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- W2139633977 date "1988-09-08" @default.
- W2139633977 modified "2023-09-27" @default.
- W2139633977 title "The flow field generated by a point force in the presence of a plane interface" @default.
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- W2139633977 doi "https://doi.org/10.1098/rspa.1988.0099" @default.
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