Abstract
Abstract : The rate at which dust is ingested into a turbulent boundary layer is deduced for the case of a semi-infinite flat plate and for the boundary layer behind a moving shock wave. Conventional turbulent boundary-layer theory is used. It is assumed that the local dust-ingestion rate corresponds to the 'blowing' rate at which the local unblown surface shear C(f,0) is reduced to a value C(f,t) that is just sufficient to maintain surface particles in a mobile state. It is further assumed that the particle-velocity equilibration distance is small compared with the local boundary-layer thickness. It is found that erosion rate and boundary-layer thickness parameters are weakly (logarithmically) dependent on C(f,O)/C(f,t) and the maximum dust loading within the boundary layer is approximately equal to one. The theoretical predictions for local erosion rate, boundary thickness, and dust density are compared with the limited experimental results of Hartenbaum and Ausherman for the semi- infinite flat plate and moving-shock cases, respectively. Agreement within about a factor of two is obtained. Further comparison with experiment is recommended.
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