Acoustic-Rotational Internal Flow Caused by Transient Sidewall Mass Addition
| Autor: | P. L. Staab, David R. Kassoy, M. J. Rempe |
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| Rok vydání: | 2004 |
| Předmět: | |
| Zdroj: | SIAM Journal on Applied Mathematics. 65:587-617 |
| ISSN: | 1095-712X 0036-1399 |
| DOI: | 10.1137/s0036139903421560 |
| Popis: | Asymptotic and numerical methods are used to describe thermal transients in an internal flow caused by time-dependent, spatially distributed sidewall mass addition. Solutions are obtained for the temperature distribution and wall heat transfer, as well as the vorticity, in a high Reynolds number (Re), low Mach number (M), compressible flow in a cylinder. A multiple-scale analysis, valid in the limit of $M\to 0$ and $Re\to\infty$, is used to derive an equation for O(M) acoustic disturbances arising from transient injection. The limit process is also used to obtain reduced equations for the rotational axial velocity field and the nonacoustic temperature variation arising from a balance of convection and transverse diffusion. The convection-diffusion equations are characterized by viscous and conductive transport on an O(M) radial scale relative to the O(1) nondimensional cylinder radius. These small-scale diffusive effects are pervasive throughout the entire cylinder in this large Re, injected flow. The the... |
| Databáze: | OpenAIRE |
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