89,610 research outputs found

    Nonparallel stability of three-dimensional compressible boundary layers. Part 1: Stability analysis

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    A compressible linear stability theory is presented for nonparallel three-dimensional boundary-layer flows, taking into account the normal velocity component as well as the streamwise and spanwise variations of the basic flow. The method of multiple scales is used to account for the nonparallelism of the basic flow, and equations are derived for the spatial evolution of the disturbance amplitude and wavenumber. The numerical procedure for obtaining the solution of the nonparallel problem is outlined

    Nonparallel stability of two-dimensional nonuniformly heated boundary-layer flows

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    An analysis is presented for the linear stability of water boundary-layer flows over nonuniformly flat plates. Included in the analysis are disturbances due to velocity, pressure, temperatures, density, and transport properties as well as variations of the liquid properties with temperature. The method of multiple scales is used to account for the nonparallelism of the mean flow. In contrast with previous analyses, the nonsimilarity of the mean flow is taken into account. No analysis agrees, even qualitatively, with the experimental data when similar profiles are used. However, both the parallel and nonparallel results qualitatively agree with the experimental results of Strazisar and Reshotko when nonsimilar profiles are used

    N=2\mathcal{N}=2 Supersymmetry Partial Breaking and Tadpole Anomaly

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    We consider the U(1)nU(1) ^{n} extension of the effective N=2\mathcal{N}=2 supersymmetric U(1)Ă—U(1)U(1) \times U(1) model of arXiv:1204.2141arXiv:1204.2141; and study the explicit relationship between partial breaking of N=2\mathcal{N}=2 supersymmetry constraint and D3 brane tadpole anomaly of type IIB string on Calabi-Yau threefolds in presence of HRR^{RR} and HNS^{NS} fluxes. We also comment on supersymmetry breaking in the particular N=2\mathcal{N}=2 U(1)U(1) Maxwell theory; and study its interpretation in connection with the tadpole anomaly with extra localized flux sources.Comment: LaTex 37 page
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