Appendix 2: Relaxation of Water on a Porous Dyke
Alain Oustaloup · 2014
Relaxation of Water on a Porous Dyke A2.1. Context and study assumptionsDyke builders have long been aware of the damping properties of very irregular dykes, in particular those with cavities or depressions imprisoning pockets of air which can be compressed by the oncoming water.Besides, as everyone can see on the ebb and flow consecutive to the damping of water on fluvial or coastal dykes (where the motion water masses are different):-the natural frequency of the water relaxation seems to be different whether the dyke is fluvial or coastal; -the damping of the water relaxation seems to be independent of the dyke whether it is fluvial or coastal.Given that nature is an inexhaustible source of solutions, we have studied the attenuation of the motion of water on this type of dyke.To tackle such a study which concerns the physics of the complex media, we aimed to formulate the differential equation that governs a water mass M, of speed Diversity and Non-integer Differentiation for System Dynamics, First Edition.