  This is a Reply to Nemirovskii Comment [Phys. Rev. B 94, 146501 (2016)] on
the Khomenko et al, [Phys.Rev. B v.91, 180504(2016)], in which a new form of
the production term in Vinen's equation for the evolution of the vortex-line
density $\cal L$ in the thermal counterflow of superfluid $^4$He in a channel
was suggested. To further substantiate the suggested form which was questioned
in the Comment, we present a physical explanation for the improvement of the
closure suggested in Khomenko et al [Phys.Rev. B v. 91, 180504(2016)] in
comparison to the form proposed by Vinen. We also discuss the closure for the
flux term, which agrees well with the numerical results without any fitting
parameters.
