On the stability of Poiseuille flow.
onstabilityofpoi00harr.pdf (8.160Mb)Abstract
The three-dimensional linearized vorticity transport
equations for plane and pipe Poiseuille flow were studied
using a highly generalized complex exponential form of
solution in both space and time. The stability of these
flows was examined using frames of reference which move with
the fluid particles.
Numerical results for plane Poiseuille flow show that
the critical Reynolds number is lowered by the introduction
of streamwise spatial decay. This result provides a new
basis for improving the agreement between theory and
experiment. Numerical results for pipe flow were not
obtained due to a probable error in some detail of the
analysis or numerical method.
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