Prandtl's two‐dimensional, time‐dependent similarity solutions are corrected and extended to cases ofN‐branched vortex sheets possessing a certain central symmetry. For bothN = 1(Prandtl's case) andN = 2it is found that the similarity parametermis restricted to the rangem ≤ 0.5. WhenN = 1, multiple solutions are found for a given value ofmprovided|m|is sufficiently small compared with one. A property of these multiple solutions is that the tangential velocity to the concave side of a vortex sheet is0[exp( −4&pgr;)smaller than the tangential velocity to the convex side. All values ofmare found to be admissible for the caseN = 3. In all cases it is found that certain features of the flows resemble a classical (but time‐dependent) circular vortex. For example, it is found that the circulation in a disk of radiusris proportional tor2. There are also important differences. The flow fields forN = 1, 2, and 3 are described in some detail.