Laminar jets of a plane liquid sheet falling vertically in the atmosphere
The steady laminar flow of a liquid sheet falling vertically from a slit die into the atmosphere is studied theoretically under the assumptions of flat profiles of velocity and pressure over its horizontal cross-section. An equation predicting the sheet thickness is derived in a way similar to that which has been found useful for a falling round jet. The proposed equation is compared with previous results of experiments and numerical simulations as well as \textit{N. S. Clarke}'s [J. Fluid Mech. 31, 481-500 (1968; Zbl 0182.282)] exact solution to the ordinary differential equation of a one-dimensional vertical jet, and the results seem to be rather good. The present work is concerned with an integral invariant of the jet, and lower-boundary conditions on the vorticity are presented for a viscous- gravity jet as well as for an inertia-gravity jet.
scientific article; zbMATH DE number 4005804