The problem of the spreading of a liquid film along a solid surface: A new mathematical formulation

A new mathematical model is proposed for the spreading of a liquid film on a solid surface. The model is based on the standard lubrication approximation for gently sloping films (with the no-slip condition for the fluid at the solid surface) in the major part of the film where it is not too thin. In the remaining and relatively small regions near the contact lines it is assumed that the so-called autonomy principle holds—i.e., given the material components, the external conditions, and the velocity of the contact lines along the surface, the behavior of the fluid is identical for all films. The resulting mathematical model is formulated as a free boundary problem for the classical fourth-order equation for the film thickness. A class of self-similar solutions to this free boundary problem is considered.

Digitization for Preservation and Access: Restoring the Usefulness of the Nitrate Negative Collections at the American Geographical Society Library

Film-based photographic collections of nitrate negatives pose major challenges to preservation and access because of unstable media and the lack of item-level indexing. Digitization offers an opportunity to capture the content of deteriorating negatives, to extend access to them, and to restore their usefulness as information resources. Digitization as a preservation strategy has been the subject of ongoing debate. This article contributes to the discussion by exploring access to and the preservation of film-based photographic collections and by presenting the digiti- zation project at the American Geographical Society Library as a case study. The project, Saving and Sharing the AGS Library’s Historic Nitrate Negative Images, was undertaken from 2010 to 2012 to preserve and provide access to over 69,000 nitrate negatives from its historic collections.