Stability of noncharacteristic boundary-layers for the compressible nonisentropic Navier-Stokes equations Public Deposited

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  • March 22, 2019
  • Rao, Indrani
    • Affiliation: College of Arts and Sciences, Department of Mathematics
  • 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.
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  • Williams, Mark
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  • University of North Carolina at Chapel Hill
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