Description
- Abstract:
- In this thesis, we study Prandtl's boundary layer theory for 2D, stationary, incompressible Navier-Stokes flows posed on domains with boundaries. The boundary layer hypothesis posed by Prandtl in 1904 asserts that for flows with low viscosities, the effect of friction is prominent near physical boundaries and negligible in the bulk. Verifying this mathematically is, in general, an important open problem. We establish the validity of Prandtl's hypothesis in three settings, all under the hypothesis of a translating boundary. A fourth contribution of this thesis is the construction of a one-parameter family of stationary, 2D Navier-Stokes solutions which are arbitrarily close to the Couette flow.
- Notes:
- Thesis (Ph. D.)--Brown University, 2018
Access Conditions
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- In Copyright
- Restrictions on Use
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Citation
Iyer, Sameer S.,
"Boundary Layers for 2D Stationary Navier-Stokes Flows over a Moving Boundary"
(2018).
Applied Mathematics Theses and Dissertations.
Brown Digital Repository. Brown University Library.
https://doi.org/10.26300/5kb5-qr06
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Applied Mathematics Theses and Dissertations
Theses and Dissertations for the Applied Mathematics department....