Abstract
An asymptotic solution of the unsteady Navier-Stokes' equations is derived for the problem of the mutual hydrodynamic interaction between two solid spheres immersed in a viscous fluid moving at infinity in a direction parallel to their line of centers. It is assumed that the Reynolds and Strouhal numbers are much larger than one but small enough for the flow to remain stable. The influence of (i) the separation distance between the two bodies, (ii) the ratio of their radii, (iii) the Reynolds number and (iv) the acceleration parameter of the flow on the formation and the initial stage of development of the two boundary layers around the two spheres are investigated. The movement of the detachment points and hydrodynamic forces experienced by the two bodies are calculated. Some typical relations and findings are shown graphically.
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