  Inaccurate slow streaming models of acoustically-induced fluid flow remain in
use due to the lack of a generalized alternative. The Multiscale Articulated
Differentials Method (MADaM; [see co-article]) solves this problem with a
complete, scale-sensitive spatiotemporal expansion. Applied to classic axial
Eckart streaming, the MADaM produces, in terms of a Burgers equation, a
long-sought transient solution able to accommodate frequencies and amplitudes
far beyond slow streaming models. Steady streaming is governed by a
corresponding Riccati equation that, when solved, produces simple expressions
explaining innate features of fast acoustic streaming.
