## 2012.18: On the spatial development of a dusty wall jet

2012.18:
P.W. Duck, R.E. Hewitt and M.R. Foster
(2004)
*On the spatial development of a dusty wall jet.*
Journal of Fluid Mechanics, 514.
pp. 385-411.

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DOI: 10.1017/S0022112004000205

## Abstract

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.

Item Type: | Article |
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Uncontrolled Keywords: | particle-laden flow, multiphase flow, jet flows |

Subjects: | MSC 2000 > 76 Fluid mechanics PACS 2003 > 47 Fluid dynamics |

MIMS number: | 2012.18 |

Deposited By: | Dr Richard E. Hewitt |

Deposited On: | 29 January 2012 |

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