Abstract
A theoretical treatment is presented for the determination of the drag upon a sphere settling along the axis of a long square duct under the condition that the creeping motion equations are applicable. In order to obtain the second reflection velocity field, it was necessary to develop a new general solution in cartesian coordinates to the creeping motion equation, applicable within the domain of a long square duct. Using the second reflection velocity field solution an Faxen's law, a third reflection (first correction to the Stokes' value) drag correction is obtained. The results show that the drag correction for a square container is quite close to (but smaller than) the drag correction produced by a cylinder whose diameter is the same as the duct width.
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