1/28/14 1 Shortcomings of Newton’s Equilibrium Tidal Theory Observations of tidal records show departure from Equilibrium Tidal Theory. Not all locations exhibit semidiurnal tides with ranges and timing attributable to predicted tidal constituents. Complexities Addressed by Dynamic Tidal Theory Oceans are shallow. Continents get in the way of tidally-driven water motions. Earth is spinning, hence there is a Coriolis effect. Equilibrium Tidal Theory assumes that water has no inertia. Dynamic Tidal Theory – Shallow Oceans How fast should the tidal wave move across the open ocean? Across the continental shelf?
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1/28/14
1
Shortcomings of Newton’s Equilibrium Tidal Theory
Observations of tidal records show departure from Equilibrium Tidal Theory. Not all locations exhibit semidiurnal tides with ranges and timing attributable to predicted tidal constituents.
Complexities Addressed by Dynamic Tidal Theory Oceans are shallow. Continents get in the way of tidally-driven water motions. Earth is spinning, hence there is a Coriolis effect. Equilibrium Tidal Theory assumes that water has no inertia.
Dynamic Tidal Theory – Shallow Oceans How fast should the tidal wave move across the open ocean? Across the continental shelf?
1/28/14
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Dynamic Tidal Theory – Effect of Inertia/Resonance
Pierre-Simon Laplace
Standing tidal wave oscillates about a nodal line Natural period of oscillation depends on basin geometry Tidal waves are forced waves, not free waves
~15 m tidal range at Minas Basin 3 m tidal range at bay mouth why? 1. Basin geometry results in resonance 2. Embayment where convergence of water occurs
Bay of Fundy, Nova Scotia
1/28/14
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(3) Water (and air) flowing toward poles moving faster than ground;