An approximate analytic solution for an angular plane curtain coating of a
highly viscous Newtonian fluid is developed. We obtain expressions for the
melt curtain shape, coating thickness, contact length, contact pressure, dr
awing force, apparent contact angle, and contact convexity. Specially const
ructed examples enable practitioners to apply the results without advanced
training in fluid mechanics. We identify a process indeterminacy that arise
s in curtain coating employing a parallel slit. We show that, with a rapidl
y converging extrusion slit, this indeterminacy vanishes. Thus, a unique so
lution for the contact length is always obtained. The extension to a viscoe
lastic fluid is also briefly considered.