An indicator diagram is a chart used to measure the thermal, or cylinder, performance of reciprocating steam and internal combustion engines and compressors. An indicator chart records the
pressure
Pressure (symbol: ''p'' or ''P'') is the force applied perpendicular to the surface of an object per unit area over which that force is distributed. Gauge pressure (also spelled ''gage'' pressure)The preferred spelling varies by country a ...
in the cylinder versus the volume swept by the piston, throughout the two or four strokes of the piston which constitute the engine, or compressor, cycle. The indicator diagram is used to calculate the
work done and the power produced in an engine cylinder or used in a compressor cylinder.
The indicator diagram was developed by
James Watt and his employee
John Southern to help understand how to improve the
efficiency of
steam engine
A steam engine is a heat engine that performs mechanical work using steam as its working fluid. The steam engine uses the force produced by steam pressure to push a piston back and forth inside a cylinder. This pushing force can be ...
s. In 1796, Southern developed the simple, but critical, technique to generate the diagram by fixing a board so as to move with the piston, thereby tracing the "volume" axis, while a
pencil
A pencil () is a writing or drawing implement with a solid pigment core in a protective casing that reduces the risk of core breakage, and keeps it from marking the user's hand.
Pencils create marks by physical abrasion (mechanical), abra ...
, attached to a
pressure gauge, moved at right angles to the piston, tracing "pressure".
The gauge enabled Watt to calculate the work done by the steam while ensuring that its pressure had dropped to zero by the end of the stroke, thereby ensuring that all useful
energy
In physics, energy (from Ancient Greek: ἐνέργεια, ''enérgeia'', “activity”) is the quantitative property that is transferred to a body or to a physical system, recognizable in the performance of work and in the form of hea ...
had been extracted. The total work could be calculated from the area between the "volume" axis and the traced line. The latter fact had been realised by
Davies Gilbert
Davies Gilbert (born Davies Giddy, 6 March 1767 – 24 December 1839) was an English engineer, author, and politician. He was elected to the Royal Society on 17 November 1791 and served as President of the Royal Society from 1827 to 1830. He ...
as early as 1792 and used by
Jonathan Hornblower in
litigation
-
A lawsuit is a proceeding by a party or parties against another in the civil court of law. The archaic term "suit in law" is found in only a small number of laws still in effect today. The term "lawsuit" is used in reference to a civil actio ...
against Watt over
patent
A patent is a type of intellectual property that gives its owner the legal right to exclude others from making, using, or selling an invention for a limited period of time in exchange for publishing an sufficiency of disclosure, enabling disclo ...
s on various designs.
Daniel Bernoulli
Daniel Bernoulli FRS (; – 27 March 1782) was a Swiss mathematician and physicist and was one of the many prominent mathematicians in the Bernoulli family from Basel. He is particularly remembered for his applications of mathematics to mech ...
had also had the insight about how to calculate work.
Watt used the diagram to make radical improvements to steam engine performance and long kept it a trade secret. Though it was made public in a letter to the ''Quarterly Journal of Science'' in 1822, it remained somewhat obscure,
John Farey, Jr. only learning of it on seeing it used, probably by Watt's men, when he visited Russia in 1826.
In 1834,
Émile Clapeyron used
a diagram of pressure against volume to illustrate and elucidate the
Carnot cycle
A Carnot cycle is an ideal thermodynamic cycle proposed by French physicist Sadi Carnot in 1824 and expanded upon by others in the 1830s and 1840s. By Carnot's theorem, it provides an upper limit on the efficiency of any classical thermodynam ...
, elevating it to a central position in the study of
thermodynamics
Thermodynamics is a branch of physics that deals with heat, work, and temperature, and their relation to energy, entropy, and the physical properties of matter and radiation. The behavior of these quantities is governed by the four laws o ...
.
Later instruments for steam engine (''illus.'') used paper wrapped around a cylindrical barrel with a pressure piston inside it, the rotation of the barrel coupled to the piston crosshead by a weight- or spring-tensioned wire.
Indicators developed for steam engines were improved for internal combustion engines with their rapid changes in pressure, resulting from combustion, and higher speeds. In addition to using indicator diagrams for calculating power they are used to understand the ignition, injection timing and combustion events which occur near dead-center, when the engine piston and indicator drum are hardly moving Much better information during this part of the cycle is obtained by offsetting the indicator motion by 90 degrees to the engine crank, giving an offset indicator diagram. The events are recorded when the velocity of the drum is near its maximum and are shown against crank-angle instead of stroke.
[Internal Combustion Engines Theory and Design, Maleev, First edition 1933, McGraw-Hill Book company, Inc., p. 33.]
References
Bibliography
*
*Pacey, A.J. & Fisher, S.J. (1967) "Daniel Bernoulli and the ''vis viva'' of compressed air", ''The British Journal for the History of Science'' 3 (4), pp. 388–392,
*British Transport Commission (1957) ''Handbook for Railway Steam Locomotive Enginemen'', London : B.T.C., p. 81, (facsimile copy publ. Ian Allan (1977), )
External links
*
{{Commons category, Indicator diagrams, position=left
Energy conversion
Piston engines
Steam power
Thermodynamics
Diagrams