Abstract
A diver diving in a swimming pool can suffer a belly flop: he collides violently the water. Skipping sones on the still water of a lake, results in a collision of the stone with the water. We address this problem assuming the collisions are instantaneous and introducing the deformation of the system solid fluid. The incompressibility of the fluid results in a percussion pressure. It is responsible of the pain of the diver in a belly flop.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Dimnet, E., Frémond, M., Gormaz, R., San Martin, J.A.: Collisions involving solids and fluids. In: Frémond, M., Maceri, F. (eds.) Novel Approaches in Civil Engineering. Springer, Berlin (2003)
Faella, C., Nigro, E.: Dynamic impact of the debris flows on the constructions during the hydrogeological disaster in Campania-1998: failure mechanical models and evaluation of the impact velocity. In: Picarelli, L. (ed.) Fast Slope Movements Prediction and Prevention for Risk Mitigation, 1. Pàtron, Bologna (2003)
Federico, F., Cesali, C.: The role of micro-mechanical parameters in the runout length of high-speed granular masses. In: Modeling and Numerical Simulations, International Symposium on Geomechanics From Micro to Macro (IS Cambridge 2014), September, 1–3, Cambridge, UK (2014)
Federico, F., Cesali, C.: An energy-based approach to predict debris flow mobility and analyze empirical relationships. Can. Geotech. J 52(12), 2113–2133 (2015). doi:10.1139/cgj-2015-0107
Frémond, M.: Collisions, Edizioni del Dipartimento di Ingegneria Civile, Università di Roma “Tor Vergata” (2007). ISBN 978-88-6296-000-7
Frémond, M., Gormaz, R., San Martin, J.: Collision of a solid with an uncompressible fluid. Theor. Comput. Fluid Dyn. 16, 405–420 (2003)
Germain, P.: Mécanique des milieux continus. Masson, Paris (1973)
Lions, J.L., Stampacchia, G.: Variational inequalities. Comm. Pure Appli. Math. 20, 493–519 (1967)
Moreau, J.J.: Sur la naissance de la cavitation dans une conduite. C. R. Acad. Sci., Paris, 259(0), 3948–3950 (1965)
Moreau, J.J.: Principes extrémaux pour le problème de la naissance de la cavitation. J. de Mécanique 5, 439–470 (1966)
Moreau, J.J.: Fonctionnelles convexes, Edizioni del Dipartimento di Ingegneria Civile, Università di Roma "Tor Vergata", 2003, ISBN 978-88-6296-001-4 and Séminaire sur les équations aux dérivées partielles. Collège de France, Paris (1966)
Panagiotopoulos, P.D.: Inequality Problems in Mechanics and Applications. Birkhaüser, Basel (1985)
Prochaska, A.B., Santi, M.P., Higgins, J.D., Cannon, S.H.: A study of methods to estimate debris flow velocity. Landslides (2008). doi:10.1007/s10346-008-0137-0
Revellino, P., Hungr, O., Guadagno, F.M., Evans, S.G.: Velocity and runout simulation of destructive debris flows and debris avalanches in pyroclastic deposits, Campania region, Italy. Environ. Geol. 45, 295–311 (2004)
Thompson, W.: On vortex motion. Trans. R. Soc. Edinb. 25(1), 217–260 (1868)
Rodrigues, J.F.: Obstacle problems in mathematical physics, North Holland (1987)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2017 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Frémond, M. (2017). Collisions of Rigid Solids and Fluids. In: Collisions Engineering: Theory and Applications. Springer Series in Solid and Structural Mechanics, vol 6. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-52696-5_8
Download citation
DOI: https://doi.org/10.1007/978-3-662-52696-5_8
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-52694-1
Online ISBN: 978-3-662-52696-5
eBook Packages: EngineeringEngineering (R0)