Physics of Whitewater Kayaking

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Freshwater Paddling

Freshwater consumes a large majority of all whitewater paddling. The steady flow of water down and over obstacles provides an enjoyable way for enthusiast to get their fix.

Water provides a forces to push paddlers down creeks and rivers. Gravity provides a force for the water and boater to lose altitude.
F=ma provides an explanation for the amount of force acting on a boat from water. The more water and the faster the water is moving, the more force is displaced onto the paddler and his boat.


A common feature in whitewater kayaking is a hole. Holes can be a fun but also very dangerous feature on the river for paddlers. Holes occur when flowing water drops over a steep ledge. This causes water to accelerate down the slope. Some of the water at the bottom of the water column keeps its momentum, but some of the water in the upper portion of the water column recirculates.

In this image you can see that steeper rocks and obstacles under the water causes more water to recirculate. This area where the water is recirculating is called the boiling point. It is very aerated and turbulent. Holes that have large boiling points are far more dangerous to paddlers.

Holes are a result of a hydraulic jump. A hydraulic jump is where a shallow high velocity laminar body of water is irritated by some means, such as a boulder. The result is a deeper area of water immediately after the jump. The water is aerated because the high velocity water moving into the jump carries air with it. The air in the water is what causes it to travel up to the surface and back towards the jump. This is effectively conservation of momentum. We have less mass, traveling at a higher speed as the initial. Then more mass traveling at lower speeds as the final. ρh0v0=ρh1v1\rhoh_0v_0 = \rhoh_1v_1 where rho is the density of the water. Δh\Deltah   is the change in depth before and after the jump, and Δv\Deltav                  is the change in velocities before and after the jump.

    Stationary waves are formed when the fast moving water was enough momentum of room to run out longer