In the present article we develop a two-dimensional computational fluid-structure interaction (FSI) model for small transverse deflections of a moving paper web, supported on one side by a fabric, both moving in an arbitrary geometry containing boundaries and nips (e.g. as in the drying section of a paper machine). In our FSI model, the transverse deflections of the paper web and those of the fabric are individually assumed to satisfy an equation of motion for axially moving membranes
