Accession Number:

ADA193480

Title:

An Exponential Decay Estimate for the Stationary Perturbation of Poiseuille Flow.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV-MADISON CENTER FOR MATHEMATICAL SCIENCES

Personal Author(s):

• Ache, Gerardo A.

Report Date:

1987-10-01

Pagination or Media Count:

35.0

Abstract:

The author proves a decay estimate for the steady state incompressible Navier-Stokes equations. The estimate describes the exponential decay, in the axial direction of a semi-infinite tube, for an energy-type functional in terms of the perturbation of Poiseuille flow, provided that the Reynolds number does not exceed a critical value, for which we exhibit a lower and an upper bound. Since the motion is considered axi-symmetric we use a stream function formulation, and the results are similar to those obtained by Horgan for a two-dimensional channel flow problem. For the Stokes problem our estimate for the rate of decay is a lower bound to the actual rate of decay which is obtained from an asymptotic solution to the Stokes equations.

Descriptors:

• *PERTURBATIONS
• *INCOMPRESSIBLE FLOW
• ASYMPTOTIC SERIES
• CHANNEL FLOW
• DECAY
• ESTIMATES
• FORMULATIONS
• FUNCTIONS(MATHEMATICS)
• NAVIER STOKES EQUATIONS
• RATES
• REYNOLDS NUMBER
• STATIONARY
• TUBES
• TWO DIMENSIONAL
• TWO DIMENSIONAL FLOW
• STEADY FLOW
• AXISYMMETRIC FLOW
• EXPONENTIAL FUNCTIONS

Subject Categories:

• Fluid Mechanics
• Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE