65
Table 2.6 Length, velocity, and time scales of environmental fluid processes and systems
Time scale
Velocity
scale
Vertical
length scale
Horizontal
length scale
Process
Micro turbulence Few
seconds
1–10 cm/s 1–10 cm
1–10 cm
Shear turbulence Few
minutes
0.1–1 m/s
0.1–10 cm
0.1–10 m
Water waves
Seconds to
minutes
1–10 m/s
1–100 cm
0.1–10 m
Convection
Hours/days/
seasons
0.1–1 m/s
1–1000 m
10–1000 m
Atmospheric
systems
Urban airshed
Hours
1–10 m/s
100–1000 m 1–10 km
Sea breeze
Hours
1–10 m/s
100–1000 m 1–10 km
Thunderstorms
Hours
1–10 m/s
100–5000 m 1–10 km
Mountain waves Days
1–10 m/s
10–1000 m
1–10 km
Tornado
Minutes to
hours
1–10 m/s
100–1000 m 1–10 km
Water systems Watershed
Hours to
days
1–10 m/s
1–10 m
1–10,000 km
Aquifers
Seasons to
decades
1–10 m/s
10–1000 m
1–1000 km
Wetlands
Days to
seasons
1–10 m/s
1–10 m
10–1000 m
Small streams
Seconds to
minutes
1–10 m/s
0.1–1 m
1–10 m
Major river
Days to
seasons
1–100 cm/s 1–10 m
10–1000 m
Lakes
Hours to
days
1–10 m/s
10–1000 m
1–100 km
Estuaries
Hours
0.1–1 m/s
1–10 m
1–10 km
Coastal ocean
Few days
0.1–1 m/s
1–100 m
1–100 km
Upper ocean
Weeks to
decades
1–100 cm/s 100–1000 m 10–1000 km
Abyssal ocean
Decades
and beyond
0.1–1 cm/s Basin depth
Global
Body system
Human
circulatory system
Seconds to
minutes
0.3–40 cm/s Few
centimeters
Few
centimeters
Human
respiratory system
Seconds to
minutes
0.4–1.4 m/s Few
centimeters
Few
centimeters
Source: Cushman-Roisin et al. (2018); Tang et al. (2013); Wikipedia (2018)
2.4 Fluid Mechanics
Table 2.6 Length, velocity, and time scales of environmental fluid processes and systems
Time scale
Velocity
scale
Vertical
length scale
Horizontal
length scale
Process
Micro turbulence Few
seconds
1–10 cm/s 1–10 cm
1–10 cm
Shear turbulence Few
minutes
0.1–1 m/s
0.1–10 cm
0.1–10 m
Water waves
Seconds to
minutes
1–10 m/s
1–100 cm
0.1–10 m
Convection
Hours/days/
seasons
0.1–1 m/s
1–1000 m
10–1000 m
Atmospheric
systems
Urban airshed
Hours
1–10 m/s
100–1000 m 1–10 km
Sea breeze
Hours
1–10 m/s
100–1000 m 1–10 km
Thunderstorms
Hours
1–10 m/s
100–5000 m 1–10 km
Mountain waves Days
1–10 m/s
10–1000 m
1–10 km
Tornado
Minutes to
hours
1–10 m/s
100–1000 m 1–10 km
Water systems Watershed
Hours to
days
1–10 m/s
1–10 m
1–10,000 km
Aquifers
Seasons to
decades
1–10 m/s
10–1000 m
1–1000 km
Wetlands
Days to
seasons
1–10 m/s
1–10 m
10–1000 m
Small streams
Seconds to
minutes
1–10 m/s
0.1–1 m
1–10 m
Major river
Days to
seasons
1–100 cm/s 1–10 m
10–1000 m
Lakes
Hours to
days
1–10 m/s
10–1000 m
1–100 km
Estuaries
Hours
0.1–1 m/s
1–10 m
1–10 km
Coastal ocean
Few days
0.1–1 m/s
1–100 m
1–100 km
Upper ocean
Weeks to
decades
1–100 cm/s 100–1000 m 10–1000 km
Abyssal ocean
Decades
and beyond
0.1–1 cm/s Basin depth
Global
Body system
Human
circulatory system
Seconds to
minutes
0.3–40 cm/s Few
centimeters
Few
centimeters
Human
respiratory system
Seconds to
minutes
0.4–1.4 m/s Few
centimeters
Few
centimeters
Source: Cushman-Roisin et al. (2018); Tang et al. (2013); Wikipedia (2018)
2.4 Fluid Mechanics
