Abstract
The problem of the motion of an individual spherical particle in a laminar boundary layer is considered for small Reynolds numbers determined from the relative velocity and the transverse velocity gradient of the flow undisturbed by the particle. The dependence of the transverse force acting on the particle, which results from the nonuniformity of the free stream, on the distance of the particle from the surface of a flat plate is calculated. It is shown that the direction of the transverse force changes with the distance of the particle from the plate: near the surface the force is positive, i.e., directed away from the plate, and at greater distances negative.
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B. Otterman and S.-L. Lee, “Particulate velocity and concentration profiles for laminar flow of a suspension over a flat plate,” Proc. “Heat Transfer and Fluid Mechanics Inst.,” Monterey, Calif., 1970, Stanford, Calif. (1970), p. 311.
A. N. Osiptsov, “Motion of a dusty gas in the initial section of a plane channel and a circular tube,” Izv. Akad. Nauk” SSSR, Mekh. Zhidk. Gaza, No. 6, 80 (1988).
V. A. Naumov, “Calculation of the laminar boundary layer on a plate with allowance for the lift forces acting on a dispersed admixture,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 6, 171 (1988).
P. G. Saffman, “The lift on a small sphere in a slow shear flow,” J. Fluid Mech.,22, 385 (1965); Corrigendum: J. Fluid Mech.,31, 624 (1968).
P. Vasseur and R. G. Cox, “The lateral migration of spherical particles sedimenting in a stagnant bounded fluid,” J. Fluid Mech.,80, 561 (1977).
E. S. Asmolov, “Transverse force acting on a spherical particle in a laminar boundary layer,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 5, 66 (1989).
M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, Dover, New York (1965).
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 6, pp. 91–96, November–December, 1990.
The author wishes to thank M. N. Kogan and N. K. Makashev for useful discussions.
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Asmolov, E.S. Dynamics of a spherical particle in a laminar boundary layer. Fluid Dyn 25, 886–890 (1990). https://doi.org/10.1007/BF01049699
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DOI: https://doi.org/10.1007/BF01049699