The motion and shape of a vertically falling flat rectangular jet of l
iquid metal issuing from an inclined plane is analysed numerically and
analytically. The jet is affected by surface tension and gravity. The
main interest in this problem originates from the technological appli
cation of the direct strip casting process, which is a novel process t
o cast steel strips in a thickness range from 2 to 15 mm with a minimu
m or no hot-rolling. In this process the liquid metal is fed onto a si
ngle endless horizontal belt that runs between two rollers. The bottom
of the belt is cooled by water. One of the techniques to feed the liq
uid metal is down an inclined plane, Due to disturbances in the flow,
for instance slag in the liquid metal, the jet issuing from the inclin
ed plane may split into two or several jets, The large convergence of
the individual jets causes an unfavourable non uniform distribution of
the liquid metal over the belt. In the analysis of the present paper
it is shown, using an expansion in the inverse Froude number, that the
convergence of a single jet deperids to zero order on the inverse squ
are root of the Weber number We(-1/2) = (gamma/(rho w(0)(2) h(0)))(1/2
). Small convergence of the jet is found for large Weber numbers, whic
h can be accomplished with a large initial velocity w(0).