Path one

Ferry and boat waves.

Boats cross the Hudson all day, and their wakes roll onto Hoboken's shores. This path explains how those waves form and why they behave differently at each spot. It covers the waves that arrive at the shoreline.

This is not wakeboarding or wake surfing. Both are dangerous on the Hudson.

We do not endorse or promote riding waves from commercial vehicles. Never ride, follow, chase or position yourself behind or beside a ferry or any other moving vessel to ride its wake. Large vessels cannot see you, cannot stop or turn quickly, and their wakes are stronger and more sudden than they look. This page is educational. It looks only at waves that have already travelled to Hoboken's shores, and at how depth, piers and land shape them. Stay well clear of ferry paths and terminals at all times.

The science

How a hull makes a wave.

A moving boat pushes water aside and leaves a pattern behind it. The bow wave comes off the front, the stern wave off the back, and together they trail as a V-shaped wake that spreads across the river. The V opens at about 19.5 degrees, a fixed angle in deep water that surprised physicists when Lord Kelvin worked it out.

Those waves keep travelling long after the boat has gone. When they reach Hoboken's shore, the seabed and the structures along it change their shape, as the next section shows.

Kelvin angle ~19.5 deg bow wave stern wave
Simplified boat wake from above, deep water. Real wakes in the river are messier.

What decides how big a wake is

For the curious: the depth effect is the depth Froude number, boat speed divided by the square root of gravity times depth. Wakes change character as it approaches 1. Real numbers for each ferry route still need to be measured.

Interactive

A ship passes Hoboken Cove.

Pick a ship, set its speed and how far offshore it runs, and watch the wake travel to the two spots on this shore. The numbers show the physics behind what you see. It is a teaching model, not a forecast.

A word of cautionThis simulation is not an invitation to ride a wake.

Never ride, follow or chase a moving vessel. Wake sizes below are a relative teaching index, not measurements. Piers and the shape of the shore are drawn schematically and not to scale.

Ship
Heading
Manhattan side, about 1.2 km Maxwell Pier Cove EmbaymentThe Boathouse 100 m N
Plan view, north up, over the project map (basemap: OpenStreetMap contributors via OpenFreeMap). Time is sped up. The spots sit 122 m apart.
Length Froude--
Depth Froude--
Wake angle--Kelvin value is 19.5 deg
Transverse wavelength--
Wave period at shore--deep-water estimate
Reaches shore--after the ship passes abeam
Cove Embayment
The Boathouse

Relative wake size is a 0 to 100 teaching index on one scale for all ships. It combines the hull's displacement, its length Froude number, how close the depth Froude number is to 1, how the wake spreads with distance, how the wave grows in shallow water near shore, and a schematic shelter factor for the pier. It is not a measured height. Ship sizes are illustrative classes, and the depths are placeholders until we have local data.

The science, step by step

Bow wave, stern wave and the 19.5 degree wedge

A moving hull creates high pressure at the bow and stern and low pressure along its sides. The water responds with waves. In deep water those waves form two sets: transverse waves that run across the track, and divergent waves that fan out. They meet along two lines, the cusps, that trail the ship at 19.47 degrees. That angle, arcsin of one third, does not depend on the ship's size or speed in deep water.

Speed, length and hull speed

The transverse wave a ship makes has a wavelength of 2πV²/g, so it gets longer as the square of speed. When that wavelength equals the hull length, the ship sits between its own bow and stern crests. That happens at a length Froude number, V divided by the square root of g times length, of about 0.4, which is the classic hull speed (about 1.34 times the square root of length in feet, in knots). Beyond it a displacement hull climbs its own bow wave and wake energy rises steeply. Short, fast ferries operate in this range. Long, slow ships do not.

Depth matters

Shallow water changes how fast waves can travel. The limit is the square root of g times depth. The ratio of ship speed to that limit is the depth Froude number. Well below 0.7 the classic wedge holds. Approaching 1, the cusp angle opens and waves bunch up, so the same ship makes a larger wake. At 1, waves cannot run ahead of the ship, and energy piles into one big wave. Above 1 the wake narrows again to a wedge of arcsin(1 over the Froude number). Move the depth slider and watch the angle.

Why ferries and big ships behave differently

A fast ferry is short and light, so its waves have short wavelengths and periods but can be steep and sharp. A tanker or cruise ship moves a huge volume of water, but at harbour speeds its length Froude number is small, so its wake is low and long. Both can arrive at the shore larger than they looked offshore, and large ships can also pull water away from the shore and then return it as a surge. How a particular ship behaves depends on its hull shape and trim, which this model does not capture.

Coming ashore: shoaling, refraction and breaking

As a wave enters shallower water it slows, and by Green's law its height grows with the depth to the minus one quarter. Crests bend to follow the seabed (refraction), so they arrive nearly parallel to the shore. The wave steepens and breaks when its height reaches roughly three quarters of the local depth. This is why a wake that looks small in the channel can break right at the edge, and why the ride is short. The "Depth near the shore" slider shows how much more a wave grows in shallower water.

Piers, points and bulkheads

Structures shape the wave on its way in. A pier or point can block it, bend it around the tip (diffraction) and leave a calmer pocket behind. Hard bulkheads reflect waves back out, so the water near the shore becomes a confused mix of incoming and returning crests. In the model, the pier shelters whichever spot sits on the far side from the oncoming wake. Which side that is depends on the ship's heading. The real values are for us to measure on the water.

Wave period and why it matters

Period is the time between crests. The waves along the cusps have a period of about 2π times 0.82 times V over g. Longer-period waves carry more energy and run up further. For an 18 knot ferry that is about 4.8 seconds, for a tanker at 8 knots about 2.1 seconds. A longer period generally means a wave that feels deeper and pushes further up the shore.

Know Hoboken

Hoboken Cove.

The same wake looks different from one spot to the next, even inside one cove. Water depth (bathymetry) decides how the wave steepens as it nears shore. Piers block, bend or reflect it, and the shape of the land can focus or spread it. Notes below are placeholders until we confirm them.

A word of cautionBoats first. Large vessels cannot stop or turn quickly and may not see you. Wake waves arrive without warning and can be much bigger than they look. We do not endorse riding waves from commercial vehicles, and wake surfing or wakeboarding behind vessels is dangerous on the Hudson.
Try it

When do boats pass each shore?

Pick a spot to see the next crossings in front of it, which tells you when wakes will reach that shore. Example times The real tool will read published ferry schedules.

Next crossingInBoat

Wake size depends on the boat, its speed and the water depth. This tool cannot tell you what size a wake will be or whether it is safe.

A word of cautionBefore you ever paddle here.
  • Learn the tide and current for the day, and what they do to the wind.
  • Always paddle with others, and with someone experienced.
  • Wear a life jacket, dress for the water temperature, and carry a way to call for help.
  • Check the official NOAA marine forecast. This site is not a safety clearance.
  • Stay clear of ferries, terminals, piers and commercial traffic.