Visible coverage (clouds)

Description

On average, clouds cover more than 40% of the Earth\'s surface:

As they are visible, clouds reflect light, resulting in visible radiation and are associated with atmospheric albedo.

ID:(3071, 0)



Radiation flow from the atmosphere to the ocean

Model

Variables

Symbol
Text
Variable
Value
Units
Calculate
MKS Value
MKS Units
$\gamma_v$
g_v
Atmosphere coverage for VIS radiation
-
$c$
c
Constante de cobertura
-
$\epsilon$
e
Emissivity
-
$t_{RH}$
t_RH
Factor de transferencia de la atmósfera con humedad
-
$t_0$
t_0
Factor de transferencia de la atmósfera sin humedad
-
$I_b$
I_b
Infrared Intensity emitted by the Bottom of the Atmosphere
W/m^2
$I_{bc}$
I_bc
Intensidad NIR emitida por atmósfera con humedad (cubierto)
W/m^2
$I_{bl}$
I_bl
Intensidad NIR emitida por atmósfera con humedad (despejado)
W/m^2
$RH$
RH
Relative humidity
%
$\sigma$
s
Stefan Boltzmann constant
J/m^2K^4s
$T_b$
T_b
Temperature of the lower atmosphere
K

Calculations


First, select the equation:   to ,  then, select the variable:   to 

Symbol
Equation
Solved
Translated

Calculations

Symbol
Equation
Solved
Translated

 Variable   Given   Calculate   Target :   Equation   To be used



Equations

The value of ERROR:6523 is calculated from the temperature of the lower atmosphere ($T_b$), using the values of the stefan Boltzmann constant ($\sigma$) and the emissivity ($\epsilon$) as follows:

$ I_b = \epsilon \sigma T_b ^4 $



However, given the high humidity over the ocean, it is crucial to include a correction factor that depends on ERROR:9923, ERROR:9924, and the relative humidity ($RH$). In this context, the intensidad NIR emitida por atmósfera con humedad (despejado) ($I_{bl}$) can be modeled as:

$ I_{bl} = I_b ( t_0 + t_{RH} \sqrt{ RH })$

(ID 13498)

The intensidad NIR emitida por atmósfera con humedad (despejado) ($I_{bl}$) is a function of ERROR:6523, ERROR:9923, ERROR:9924, and the relative humidity ($RH$):

$ I_{bl} = I_b ( t_0 + t_{RH} \sqrt{ RH })$



in which the effect of cloud cover, modeled by a constante de cobertura ($c$) and the atmosphere coverage for VIS radiation ($\gamma_v$), is not considered. Therefore, a correction to the intensidad NIR emitida por atmósfera con humedad (cubierto) ($I_{bc}$) results in the intensidad NIR emitida por atmósfera con humedad (despejado) ($I_{bl}$) being defined as:

$ I_{bc} = I_{bl} (1 + c \gamma_v )$

(ID 13499)

The intensidad NIR emitida por atmósfera con humedad (despejado) ($I_{bl}$) is related to ERROR:6523 along with ERROR:9923, ERROR:9924, and the relative humidity ($RH$) as follows:

$ I_{bl} = I_b ( t_0 + t_{RH} \sqrt{ RH })$



This allows for the calculation of the intensidad NIR emitida por atmósfera con humedad (cubierto) ($I_{bc}$) using the constante de cobertura ($c$) and the atmosphere coverage for VIS radiation ($\gamma_v$) through the equation:

$ I_{bc} = I_{bl} (1 + c \gamma_v )$



Thus, we derive an integrated equation for the atmospheric flux towards the ocean as follows:

$ I_{bc} = I_b ( t_0 + t_{RH} \sqrt{ RH }) (1 + c \gamma_v )$

(ID 13500)


Examples

On average, clouds cover more than 40% of the Earth\'s surface:

As they are visible, clouds reflect light, resulting in visible radiation and are associated with atmospheric albedo.

(ID 3071)

Clouds interact with visible light, while the water vapor present in the cloud also interacts with infrared radiation. However, the greatest impact on infrared radiation is caused by greenhouse gases, particularly CO2. Therefore, the atmospheric coverage included in the models exhibits significant variability, as a portion of it must be attributed to greenhouse gases, which have a different distribution from that of visible clouds. Specifically, the estimated coverages are as follows:

- For visible radiation: 42%.
- For infrared radiation: 89%.

The distribution of atmospheric coverage for infrared radiation can be inferred from the presence of CO2 in the atmosphere.

(ID 13501)


ID:(1754, 0)