Mathematical Modeling of Near-Wall Flows of Two-Phase Mixture With Evaporating Droplets

WANG Bo-yi; A. N. Osiptsov

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WANG Bo-yi, A. N. Osiptsov. Mathematical Modeling of Near-Wall Flows of Two-Phase Mixture With Evaporating Droplets[J]. Applied Mathematics and Mechanics, 2002, 23(6): 576-582.

Citation:

WANG Bo-yi, A. N. Osiptsov. Mathematical Modeling of Near-Wall Flows of Two-Phase Mixture With Evaporating Droplets[J]. Applied Mathematics and Mechanics, 2002, 23(6): 576-582.

Citation:

WANG Bo-yi, A. N. Osiptsov. Mathematical Modeling of Near-Wall Flows of Two-Phase Mixture With Evaporating Droplets[J]. Applied Mathematics and Mechanics, 2002, 23(6): 576-582.

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Mathematical Modeling of Near-Wall Flows of Two-Phase Mixture With Evaporating Droplets

WANG Bo-yi¹,
A. N. Osiptsov²

1.
LNM, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080, P R China;
2.
Institute of Mechanics, Moscow State University, Moscow 119899, Russia

Received Date: 2001-07-30
Rev Recd Date: 2002-01-29
Publish Date: 2002-06-15

Abstract

Abstract

In the framework of the two-continuum approach,using the matched asymptotic expansion method,the equations of a laminar boundary layer in mist flows with evaporating droplets were derived and solved.The similarity criteria controlling the mist flows were determined.For the flow along a curvilinear surface,the forms of the boundary layer equations differ from the regimes of presence and absence of the droplet inertia deposition.The numerical results were presented for the vapor-droplet boundary layer in the neighborhood of a stagnation point of a hot blunt body.It is demonstrated that,due to evaporation,a droplet-free region develops near the wall inside the boundary layer.On the upper edge of this region,the droplet radius tends to zero and the droplet number density becomes much higher than that in the free stream.The combined effect of the droplet evaporation and accumulation results in a significant enhancement of the heat transfer on the surface even for small mass concentration of the droplets in the free stream.
- two-phase mixture,
- near-wall flow,
- mist boundary layer,
- droplet evaporation,
- heat transfer,
- accumulation effect

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References(10)

References

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