On a balance equation for superfluid vorticity in capillary flow of helium II

Abstract It is demonstrated that a simple, “one-dimensional” balance equation for the superfluid vorticity can already account for the occurence of the various types of nonuniform distributions of superfluid turbulence observed in capillary flow of helium II. Expressions for the rates of creation and annihilation of superfluid vortices similar to those suggested by Vinen for the case of thermal counterflow would already be adequate.