Stability of noncharacteristic boundary-layers for the compressible nonisentropic Navier-Stokes equations Public Deposited
- Last Modified
- March 22, 2019
- Creator
-
Rao, Indrani
- Affiliation: College of Arts and Sciences, Department of Mathematics
- Abstract
- In this dissertation, we prove the stability of noncharacteristic viscous boundary layers for the compressible nonisentropic Navier-Stokes equations subject to no-slip suction-type boundary conditions. These boundary conditions correspond to the situation of an airfoil with microscopic holes through which gas is pumped from the surrounding flow, the microscopic suction imposing a fixed normal velocity while the macroscopic surface imposes standard temperature conditions as in flow past a (nonporous) plate. This configuration was suggested by Prandtl and tested experimentally by G. I. Taylor as a means to reduce drag by stabilizing laminar flow. It was implemented in the NASA F-16XL experimental aircraft program in the 1990's with reported 25% reduction in drag at supersonic speeds. In [8], existence and stability of noncharacterisitic viscous boundary layers for the compressible Navier-Stokes equations has been proved for pure Dirichlet and pure Neumann boundary conditions. In this dissertation, our boundary conditions are mixed Dirichlet-Neumann and we establish stability in this case.
- Date of publication
- May 2010
- DOI
- Resource type
- Rights statement
- In Copyright
- Advisor
- Williams, Mark
- Degree granting institution
- University of North Carolina at Chapel Hill
- Language
- Access
- Open access
- Parents:
This work has no parents.
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Stability of noncharacteristic boundary-layers for the compressible nonisentropic Navier-Stokes equations | 2019-04-11 | Public |
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