Module Basin - Revision history

Francisco: /* Evapotranspiration */

2017-07-20T11:49:01Z

‎Evapotranspiration

Francisco: /* Evapotranspiration */

2017-07-20T11:48:26Z

‎Evapotranspiration

Francisco: /* Evapotranspiration */

2017-07-20T11:47:20Z

‎Evapotranspiration

Francisco: /* Evapotranspiration */

2017-07-20T11:46:19Z

‎Evapotranspiration

Francisco: /* Evapotranspiration */

2017-07-20T11:44:49Z

‎Evapotranspiration

Francisco: /* Evapotranspiration */

2017-07-20T11:43:51Z

‎Evapotranspiration

Francisco: /* Evapotranspiration */

2017-07-20T11:42:56Z

‎Evapotranspiration

Francisco: /* Evapotranspiration */

2017-07-20T11:41:19Z

‎Evapotranspiration

Francisco: /* Evapotranspiration */

2017-07-20T11:40:52Z

‎Evapotranspiration

Francisco: /* Evapotranspiration */

2017-07-20T11:39:49Z

‎Evapotranspiration

@@ Line 57: / Line 57: @@
 Calculate Psicrometric constant:
-::<math>  \gamma =\frac{ \left( c_p \right)_{air} *  P }{ \lambda_v * MW_{ratio} } </math>
+:<math>  \gamma =\frac{ \left( c_p \right)_{air} *  P }{ \lambda_v * MW_{ratio} } </math>
 :<math>   \gamma = </math> psychrometric constant [kPa °C<sup>-1</sup>],
@@ Line 71: / Line 71: @@
 Equation of <math>\gamma</math> becomes:
-::<math>  \gamma =  0.665*10^{-3} * P </math>
+:<math>  \gamma =  0.665*10^{-3} * P </math>
 Calculation of the atmospheric pressure based on the heigth simplification of the ideal gas law

@@ Line 78: / Line 78: @@
 G beneath a dense cover of grass does not correlate well with air temperature. Hourly G can be approximated during daylight periods as:
-<math>G = 0.1 Rn</math>
+:<math>G = 0.1 Rn</math>
 and during nighttime periods as:
-<math>G = 0.5 Rn</math>
+:<math>G = 0.5 Rn</math>
 The net radiation (Rn) is the difference between the incoming net shortwave radiation (Rns) and the outgoing net longwave radiation (Rnl):
-<math>Rn = Rns - Rnl = [(1-0.23) * SolarRadiation] - [5.669e-08 * (T_h + 273.15)^{4} * LwradCorrection]</math>
+:<math>Rn = Rns - Rnl = [(1-0.23) * SolarRadiation] - [5.669e-08 * (T_h + 273.15)^{4} * LwradCorrection]</math>
 <math>LwradCorrection =   (0.34 - 0.14 * VP ^{0.5}) * (1.35 * ATMTransmitivity  - 0.35)</math>
@@ Line 90: / Line 90: @@
 As saturation vapour pressure is related to air temperature, it can be calculated from the air temperature. The relationship is expressed by:
-<math>e_{0}(T_h) = 0.6108 * e^{17.27 * T_h / (T_h + 237.3)})</math>
+:<math>e_{0}(T_h) = 0.6108 * e^{17.27 * T_h / (T_h + 237.3)}</math>
 The slope of the relationship between saturation vapour pressure and temperature:
-<math>\Delta = 4098.* \frac {e_{0}(T_h)} {(T_h + 237.3)^{2}}  </math>
+:<math>\Delta = 4098.* \frac {e_{0}(T_h)} {(T_h + 237.3)^{2}}  </math>
 The actual vapour pressure can also be calculated from the relative humidity.
-<math>e_a = RH_h * e_{0}(T_h)</math>
+:<math>e_a = RH_h * e_{0}(T_h)</math>
 :<math> RH_h </math> = Relative Humidity [-]
@@ Line 112: / Line 112: @@
 than Crop Evapotranspiration is obtained from Potential Evapotranspiration using crop coefficient from Module Vegetation (dependent on crop).
-<math>CropEvapoTransp = PotentialEvapoTransp * CropCoefficient </math>
+:<math>CropEvapoTransp = PotentialEvapoTransp * CropCoefficient </math>

@@ Line 90: / Line 90: @@
 As saturation vapour pressure is related to air temperature, it can be calculated from the air temperature. The relationship is expressed by:
-<math>e_{0}(T_h) = 0.6108 * exp (17.27 * T_h / (T_h + 237.3))</math>
+<math>e_{0}(T_h) = 0.6108 * e^{17.27 * T_h / (T_h + 237.3)})</math>
 The slope of the relationship between saturation vapour pressure and temperature:

@@ Line 84: / Line 84: @@
 The net radiation (Rn) is the difference between the incoming net shortwave radiation (Rns) and the outgoing net longwave radiation (Rnl):
-<math>Rn = Rns - Rnl = [(1-0.23) * SolarRadiation] - [5.669e-08 * (T_h + 273.15)** 4. * LwradCorrection]</math>
+<math>Rn = Rns - Rnl = [(1-0.23) * SolarRadiation] - [5.669e-08 * (T_h + 273.15)^{4} * LwradCorrection]</math>
-<math>LwradCorrection =   (0.34 - 0.14 * VP **(0.5)) * (1.35 * ATMTransmitivity  - 0.35)</math>
+<math>LwradCorrection =   (0.34 - 0.14 * VP ^{0.5}) * (1.35 * ATMTransmitivity  - 0.35)</math>
 As saturation vapour pressure is related to air temperature, it can be calculated from the air temperature. The relationship is expressed by:

@@ Line 94: / Line 94: @@
 The slope of the relationship between saturation vapour pressure and temperature:
-<math>\Delta = 4098.* \frac {e_{0}(T_h)} {(T_h + 237.3)**2.0}  </math>
+<math>\Delta = 4098.* \frac {e_{0}(T_h)} {(T_h + 237.3)^{2}}  </math>
 The actual vapour pressure can also be calculated from the relative humidity.

@@ Line 100: / Line 100: @@
 <math>e_a = RH_h * e°(T_h)</math>
-<math>e_a=RH_h*e(T_h)</math>
+<math>e_a=RH_h*e_{0}(T_h)</math>
 :<math>K_{c}=K_{c}-[3.0-(\frac{LAI}{LAI_{dense}})^{0.5}]</math>

← Older revision		Revision as of 11:40, 20 July 2017
Line 99:		Line 99:

	<math>e_a = RH_h * e°(T_h)</math>		<math>e_a = RH_h * e°(T_h)</math>
		+
		+	<math>e_a=RH_h*e°(T_h)</math>

	:<math>K_{c}=K_{c}-[3.0-(\frac{LAI}{LAI_{dense}})^{0.5}]</math>		:<math>K_{c}=K_{c}-[3.0-(\frac{LAI}{LAI_{dense}})^{0.5}]</math>

@@ Line 99: / Line 99: @@
 <math>e_a = RH_h * e°(T_h)</math>
 :<math> RH_h </math> = Relative Humidity [-]
@@ Line 108: / Line 110: @@
 and the property evapotranspiration is not readed from file.
 ====If the user is running with vegetation====