Pitometer logs (also known as pit logs) are devices used to measure a ship's speed relative to the water. They are used on both surface ships and submarines. Data from the pitometer log is usually fed directly into the ship's navigation system.
History
All nautical instruments designed to measure the speed of a ship through water are known as logs.
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This nomenclature dates back to days of sail when sailors tossed a log attached to rope knotted at regular intervals off the stern of a ship. The sailors would count the number of knots that passed through their hands in a given period of time. Today sailors still use the unit of
knots
A knot is a fastening in rope or interwoven lines.
Knot or knots may also refer to:
Other common meanings
* Knot (unit), of speed
* Knot (wood), a timber imperfection
Arts, entertainment, and media Films
* ''Knots'' (film), a 2004 film
* ''Kn ...
to express a ship's speed. The speed of the ship was needed to navigate the ship using
dead reckoning
In navigation, dead reckoning is the process of calculating the current position of a moving object by using a previously determined position, or fix, and incorporating estimates of speed, heading (or direction or course), and elapsed time. T ...
, which was standard practice in the days before modern
navigation
Navigation is a field of study that focuses on the process of monitoring and controlling the motion, movement of a craft or vehicle from one place to another.Bowditch, 2003:799. The field of navigation includes four general categories: land navig ...
instruments like
GPS.
During World War II, pitometer logs were often interfaced directly into warship
fire control systems. This interface was necessary to allow gunnery and
torpedo fire control systems to automatically track targets.
The pitometer log was patented
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in 1899 by Edward Smith Cole.
Technology
Principles of operation
The basic technology of the pitometer log is similar to that of the
pitot tube
A pitot tube ( ; also pitot probe) measures fluid flow velocity. It was invented by French engineer Henri Pitot during his work with aqueducts and published in 1732, and modified to its modern form in 1858 by Henry Darcy. It is widely use ...
on an aircraft. Typically, the pitometer has a long tube that penetrates the ship's hull near the keel. The part of the pitometer protruding from the ship is sometimes called a
pit sword or
rodmeter. This tube usually has two openings: one facing the direction of seawater motion that is used to measure the dynamic pressure of the seawater and one at 90° to the direction of seawater motion that is used to measure the static seawater pressure. The dynamic pressure of the seawater is a function of the depth of the water and the speed of the vessel.
In early realizations of the pitometer log, mercury manometers
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were used to measure the pressure differences (see Figure 1).
Later realizations used approaches that would generate equalizing pressures within the pitometer that would balance out the dynamic pressure. This eliminated the need for mercury manometers.
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Analysis
An expression can be derived for the velocity of water impacting the ship as a function of the difference in dynamic and static water pressure using
Bernoulli's principle
Bernoulli's principle is a key concept in fluid dynamics that relates pressure, speed and height. For example, for a fluid flowing horizontally Bernoulli's principle states that an increase in the speed occurs simultaneously with a decrease i ...
. The total pressure of the water in the tube with moving seawater can be described by Equation 1.
:where
:*''p
Total'' is the total fluid pressure.
:*''p
Static'' is the static pressure, which strictly depends on depth.
:*''p
Dynamic'' is the fluid pressure caused by fluid motion.
Since water is an incompressible fluid, the dynamic pressure component of the total pressure can be expressed in terms of the water density and the water velocity as is shown in Equation 2.
:where
:*''v
Water'' is the speed of the fluid flow.
:*''ρ'' is the fluid density.
Equation 2 can be solved for the velocity of water in terms of the difference in pressure between the two legs of the manometer. Equation 3 shows that velocity is a function of the square root of the pressure difference.
Because the speed computed by the pitometer is a function of the difference between pressure readings, the pitometer does not produce an accurate result when the ship's velocity is low and the two pressure readings are nearly the same.
Alternatives to the pitometer
While the pitometer log is very commonly used today, there are a number of other logs that are also in use. These logs include:
:*
Impeller log:A variation of this approach is known as a patent log, which is towed from the stern of a ship. The patent log includes a mechanical register that counts the log's rotations as it is being towed. The patent log was invented in 1688 by the English instrument maker
Humphry Cole. The patent log is also known as a screw log or
taffrail log
In naval architecture, a taffrail is the handrail around the open deck area toward the stern of a ship or boat. The rear deck of a ship is often called the afterdeck or poop deck. Not all ships have an afterdeck or poop deck. Sometimes taffrail ...
.
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:* Propeller
RPM
Revolutions per minute (abbreviated rpm, RPM, rev/min, r/min, or r⋅min−1) is a unit of rotational speed (or rotational frequency) for rotating machines.
One revolution per minute is equivalent to hertz.
Standards
ISO 80000-3:2019 def ...
: The speed of a ship is roughly proportional to the rotation rate of the propeller. This approach is most useful when the propeller has constant pitch. It is less useful on ships with propellers that have variable-pitch propellers or no propellers (like
sailing ships
A sailing ship is a sea-going vessel that uses sails mounted on Mast (sailing), masts to harness the power of wind and propel the vessel. There is a variety of sail plans that propel sailing ships, employing Square rig, square-rigged or Fore-an ...
). A variation of this approach was used by submarines during
World War II
World War II or the Second World War (1 September 1939 – 2 September 1945) was a World war, global conflict between two coalitions: the Allies of World War II, Allies and the Axis powers. World War II by country, Nearly all of the wo ...
to determine the speed of targets. The sonar operator would listen to the sound of a target's propeller and would determine its rotation rate or “blade count”. Knowing the propeller rotation rate and visually identifying the type of ship, the target's speed could be estimated.
:*
GPS measurements yield only a position, and neither speed nor direction of movement. However, most GPS receivers can automatically derive velocity and direction from two or more position measurements. The disadvantage of this principle is that changes in speed or direction can only be computed with a delay, and that derived direction becomes inaccurate when the distance travelled between two position measurements drops below or near the
random error
Observational error (or measurement error) is the difference between a measured value of a quantity and its unknown true value.Dodge, Y. (2003) ''The Oxford Dictionary of Statistical Terms'', OUP. Such errors are inherent in the measurement ...
of position measurement. To counter this effect, more advanced navigation systems use additional sensors like a compass or an
inertial navigation system
An inertial navigation system (INS; also inertial guidance system, inertial instrument) is a navigation device that uses motion sensors (accelerometers), rotation sensors (gyroscopes) and a computer to continuously calculate by dead reckoning th ...
to complement GPS.
:*
Doppler Velocity Log (DVL): Some ships are equipped with sonar instruments that can measure the Doppler shift in a sound pulse generated by the ship's motion as it reflects off the ocean bottom or off particles in the water. The speed measurements from a Doppler instrument can therefore be relative to the ground, or to the water.
:* Correlation Velocity Log (CVL): A CVL consists of a sound transmitter and a number of receivers. These very expensive devices measure the ship's ground speed by performing correlation processing between the signals received by the different receivers at different times. This correlation can be related to the distance moved by the ship.
[
] CVL's are used primarily by ships that need very precise measurement of low speeds, which a pitometer has difficulty measuring accurately.
References
{{DEFAULTSORT:Pitometer Log
Navigational equipment
Speed sensors
Shipbuilding
Watercraft components