Diving Science

Glossary and units


ABSTRACT
This section describes the symbols used throughout the homepage. Furthermore it contains conversion between various units


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Glossary of Symbols

Following units are used throughout the homepage:

Symbol Description Units
a General purpose constant
a Acceleration m/s2
a Bühlmann constant.
b General purpose constant
b Bühlmann constant.
c Specific heat, per kg J/(kg K)
C Specific heat, per mole J/(mole K)
c General purpose constant
d Depth m
E Energy Joule = Nm
Ep Potential energy Joule = Nm
Ek Kinetic energy Joule = Nm
F Force N
FW Force due to gravity a.k.a weight N
FA Archimedes Force N
g Constant of gravity, 9.8 N/s2 N/s2
γ Surface tension associated with a gas-liquid surface N/m
γc 'Crumbling compression': large-scale situation value of Γ N/m
Γ Skin tension associated with the hydrophobic surfactant layer surrounding the nucleus. N/m
h Height m
k Exponential constant k = ln(2)/τ specifying the on- and offgassing rate of a tissue compartment. 1/min
k Bolzman constant.
m Mass. kg
μ Atomic weight Dimensonless
M M value.
M0
ΔM
P Pressure bar
Palv Alveolar partial pressure of the inert gas. This is the pressure in the alveoli in the lungs. bar
Pamb Ambient pressure due to atmospheric pressure and depth bar
Pamb_sea_level Ambient pressure at sea level or atmospheric pressure. bar
Pm Ambient pressure defining the VPM rudimentary pressure schedule. bar
Ps Ambient pressure defining the VPM rudimentary pressure schedule. The sample is saturated at this pressure.
Pss Supersaturation gradient defined as the difference between the tissue tension and the ambient pressure Pt-Pamb. bar
Pssmin Maximum allowed supersaturation gradient (Pt-Pamb)max. This is the supersaturation gradient resulting in all nuclei with an initial radius larger than r0min grow into a bubble. Any gradient smaller than this value will result in less bubbles. bar
Pssnew New maximum allowed supersaturation gradient. Replaces Pssmin, resulting in a larger supersaturations and shorter deco times. bar
Q Inert gas fraction in the gas mixture
Q Heat Joule
R Linear rate of change of the alveolar partial pressure due to (linear) depth change. bar/min
Ramb Linear rate of change of the ambient pressure due to (linear) depth change. bar/min
RQ Respiratory coefficient
S Displacement, way length m
t Time min
τ Halftime. Dependant on the tissue compartment and the inert gas min
τR Regeneration time constant of a nucleus. min
v Velocity m/s
W Work Joule = Nm
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Units

Pressure units

Often pressure is expressed in meter-sea-water (msw) or feet-sea-water (fsw) in decompression theory. It has the advantage that the increase in ambient pressure due to depth is equal to depth. However, msw and fsw are not SI units. Furthermore, if being precise, the pressure of 1 meter-sea-water varies with temperature and amount of dissoved salt! So on this homepage I have used the bar as pressure unit. Actually Pascal is the SI unit, however the bar is more convenient. Following conversion factors can be used:

Unit Abbreviation In bar
meter sea water msw 0.1 bar
foot sea water fsw ? bar
Pound per square inch psi ? bar
millimeter Hg mmHg, torr 0.01333 bar
Atmoshpere atm 1.01325 bar
Pascal Pa 10-5 bar

Other units

Other conversions to SI used on this homepage are:

Force Dyne dyn 10-5 Newton
Length Foot ft ? meter
Under Construction
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