On the spatial development of a dusty wall jet
| Autor: | R. E. Hewitt, M. R. Foster, Peter W. Duck |
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| Rok vydání: | 2004 |
| Předmět: | |
| Zdroj: | Journal of Fluid Mechanics. 514:385-411 |
| ISSN: | 1469-7645 0022-1120 |
| DOI: | 10.1017/s0022112004000205 |
| Popis: | We consider the flow of an incompressible particle-laden fluid through the application of the so-called �dusty-gas� equations, which treat the fluid/particle suspension as two continua. The two phases are described by their individual field equations and interact through a Stokes-drag mechanism. The particular flow we consider is of boundary-layer type, corresponding to the downstream development of a Glauert-type jet adjacent to a horizontal boundary (the inclusion of the particulate phase requires the flow to be non-self-similar). We solve the governing boundary-layer equations through a numerical spatial marching technique in the three distinct cases of (i) weak gravitational influence, (ii) a jet �above� a wall under the action of gravity and (iii) a jet �below� a wall under the action of gravity. The qualitative and quantitative features of the three cases are quite different and are presented in detail. Of particular interest is the development of a stagnation point in the particle velocity field at a critical downstream location in case (i), the development of fluid/particle flow reversal in case (ii) and the development of �shock� solutions and particle-free regions in case (iii). Asymptotic descriptions are given of the critical phenomena, which support the numerical results. It is found that inclusion of a Saffman force has no substantial effect on either the location or structure of the stagnation-point region. |
| Databáze: | OpenAIRE |
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