Douglas Fluid Mechanics Solution Manual Free Download ((EXCLUSIVE))
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Long-wavelength models for van der Waals driven rupture of a free thin viscous sheet andfor capillary pinchoff of a viscous fluid thread both give rise to families of first-type similaritysolutions. The scaling exponents in these solutions are independent of the dimensionality ofproblem. However, the structure of the similarity solutions exhibits an intriguing geometricdependence on the dimensionality of the system: van der Waals driven sheet rupture proceedssymmetrically, whereas thread rupture is inherently asymmetric. To study the bifurcation ofrupture from symmetric to asymmetric forms, we generalize the governing equations withthe dimension serving as a control parameter. The bifurcation is governed by leading-orderinviscid dynamics in which viscous effects are asymptotically small but nevertheless providethe selection mechanism. 2b1af7f3a8