Water cycle

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The water cycle—technically known as the hydrologic cycle—is the circulation of water within the earth's hydrosphere, involving changes in the physical state of water between liquid, solid, and gas phases. The hydrologic cycle refers to the continuous exchange of water between atmosphere, land, surface and subsurface waters, and organisms. In addition to storage in various compartments (the ocean is one such "compartment"), the multiple cycles that make up the earth's water cycle involve four main physical actions: evaporation, precipitation, infiltration, runoff, and subsurface flow:

How much water

Clouds can hold only a limited amount of water. According to "Steam Tables. Properties of Saturated and Superheated Steam" (1940) by The Superheater Company Limited:

At  32° F =  0° C the Specific Volume is 3305.7  cu ft/lb
 At 120° F = 49° C the Specific Volume is  203.47 cu ft/lb
 

Converting the reciprocal to metric, 1 lb/cu ft = 453.59237 gram/cu ft = 453.59237/0.028316846592=16018.463374 g/m3


If a cloud hits a cold front, then it sheds water/hail/snow until the amount of water it holds is not above the saturation point at that particular lower temperature.

Curve fitting can help. To find out how much moisture a cloud can hold use x=°C at the cloud, and y=the maximum moisture (="at saturation") the cloud can hold in gram per cubic meter (g/m3) at that temperature, where E-6 means "times 10 to the power of minus 6", use:

y=3.18809058791E-6*x4+1.085260942615E-4*x3+0.01128820936197*x2+0.3271746184353*x+4.8520206433841
 

An Example: Assuming that it is known that at the cloud the temperature is 32°C, and it has just started to rain, it would be reasonable to conclude that the moisture contained by the cloud would be at the saturation level, which, at 32°C, is 33.8 g/m3. Later, when the temperature at the cloud has been reduced to 20°C, the maximum moisture the cloud can hold is only 17.3 g/m3. Therefore the amount of water that came down as rain so far is about 33.8-17.3=16.5 g/m3.


Similarly, to find out y=the minimum temperature in °C at the cloud at which the given x=amount of moisture in g/m3 can be retained by the cloud use

 y=-4.9383889720942E-6*x4+9.8977592589601E-4*x3-0.073597683584735*x2+2.8358498562951*x-11.509289449903
 

See also

External Links

See also: Water cycle, Aquifer, Biogeochemical cycle, Cloud, Curve fitting, Earth atmosphere, Evaporation, Evapotranspiration, Fog, Gravity