Skalak's extended theory of water hammer

Half a century ago Richard Skalak [see T.C. Skalak, A dedication in memoriam of Dr. Richard Skalak, Annual Review of Biomedical Engineering 1 (1999) 1-18] published a paper with the title An extension of the theory of water hammer [R. Skalak, An Extension of the Theory of Water Hammer, PhD Thesis, Faculty of Pure Science, Columbia University, New York, USA, 1954; R. Skalak, An extension of the theory of water hammer, Water Power 7/8 (1955/1956) 458-462/ 17-22; R. Skalak, An extension of the theory of water hammer, Transactions of the ASME 78 (1956) 105-116], which has been the basis of much subsequent work on hydraulic transients with fluid-structure interaction (FSI). The paper considers the propagation of pressure waves in liquid-filled pipes and the coupled radial/axial response of the pipe walls. In a tribute to Skalak's work, his paper is revisited and some of his less-known results are used to assess the dispersion of pressure waves in long-distance pipelines. Skalak's theory predicts that the spreading of wave fronts due to FSI is small, at most of the order of 10 pipe diameters. (c) 2007 Elsevier Ltd. All rights reserved.