TABLE 2.1. Atmospheric pressure (P) for different altitudes (z)
(Eq. 7) | |||||||
z |
P |
z |
P |
z |
P |
z |
P |
0 |
101.3 |
1000 |
90.0 |
2000 |
79.8 |
3000 |
70.5 |
50 |
100.7 |
1050 |
89.5 |
2050 |
79.3 |
3050 |
70.1 |
100 |
100.1 |
1100 |
89.0 |
2100 |
78.8 |
3100 |
69.6 |
150 |
99.5 |
1150 |
88.4 |
2150 |
78.3 |
3150 |
69.2 |
200 |
99.0 |
1200 |
87.9 |
2200 |
77.9 |
3200 |
68.8 |
250 |
98.4 |
1250 |
87.4 |
2250 |
77.4 |
3250 |
68.3 |
300 |
97.8 |
1300 |
86.8 |
2300 |
76.9 |
3300 |
67.9 |
350 |
97.2 |
1350 |
86.3 |
2350 |
76.4 |
3350 |
67.5 |
400 |
96.7 |
1400 |
85.8 |
2400 |
76.0 |
3400 |
67.1 |
450 |
96.1 |
1450 |
85.3. |
2450 |
75.5 |
3450 |
66.6 |
500 |
95.5 |
1500 |
84.8 |
2500 |
75.0 |
3500 |
66.2 |
550 |
95.0 |
1550 |
84.3 |
2550 |
74.6 |
3550 |
65.8 |
600 |
94.4 |
1600 |
83.8 |
2600 |
74.1 |
3600 |
65.4 |
650 |
93.8 |
1650 |
83.3 |
2650 |
73.7 |
3650 |
65.0 |
700 |
93.3 |
1700 |
82.8 |
2700 |
73.2 |
3700 |
64.6 |
750 |
92.7 |
1750 |
82.3 |
2750 |
72.7 |
3750 |
64.1 |
800 |
92.2 |
1800 |
81.8 |
2800 |
72.3 |
3800 |
63.7 |
850 |
91.6 |
1850 |
81.3 |
2850 |
71.8 |
3850 |
63.3 |
900 |
91.1 |
1900 |
80.8 |
2900 |
71.4 |
3900 |
62.9 |
950 |
90.6 |
1950 |
80.3 |
2950 |
71.0 |
3950 |
62.5 |
1000 |
90.0 |
2000 |
79.8 |
3000 |
70.5 |
4000 |
62.1 |
TABLE 2.2. Psychometric constant (g) for different altitudes (z)
(Eq. 8) | |||||||
z |
g |
z |
g |
z |
g |
z |
g |
0 |
0.067 |
1000 |
0.060 |
2000 |
0.053 |
3000 |
0.047 |
100 |
0.067 |
1100 |
0.059 |
2100 |
0.052 |
3100 |
0.046 |
200 |
0.066 |
1200 |
0.058 |
2200 |
0.052 |
3200 |
0.046 |
300 |
0.065 |
1300 |
0.058 |
2300 |
0.051 |
3300 |
0.045 |
400 |
0.064 |
1400 |
0.057 |
2400 |
0.051 |
3400 |
0.045 |
500 |
0.064 |
1500 |
0.056 |
2500 |
0.050 |
3500 |
0.044 |
600 |
0.063 |
1600 |
0.056 |
2600 |
0.049 |
3600 |
0.043 |
700 |
0.062 |
1700 |
0.055 |
2700 |
0.049 |
3700 |
0.043 |
800 |
0.061 |
1800 |
0.054 |
2800 |
0.048 |
3800 |
0.042 |
900 |
0.061 |
1900 |
0.054 |
2900 |
0.047 |
3900 |
0.042 |
1000 |
0.060 |
2000 |
0.053 |
3000 |
0.047 |
4000 |
0.041 |
Based on l = 2.45 MJ kg-1 at 20°C.
TABLE 2.3. Saturation vapour pressure (e°(T)) for different temperatures (T)
(Eq. 11) | |||||||
T |
es |
T |
e°(T) |
T |
e°(T) |
T |
es |
1.0 |
0.657 |
13.0 |
1.498 |
25.0 |
3.168 |
37.0 |
6.275 |
1.5 |
0.681 |
13.5 |
1.547 |
25.5 |
3.263 |
37.5 |
6.448 |
2.0 |
0.706 |
14.0 |
1.599 |
26.0 |
3.361 |
38.0 |
6.625 |
2.5 |
0.731 |
14.5 |
1.651 |
26.5 |
3.462 |
38.5 |
6.806 |
3.0 |
0.758 |
15.0 |
1.705 |
27.0 |
3.565 |
39.0 |
6.991 |
3.5 |
0.785 |
15.5 |
1.761 |
27.5 |
3.671 |
39.5 |
7.181 |
4.0 |
0.813 |
16.0 |
1.818 |
28.0 |
3.780 |
40.0 |
7.376 |
4.5 |
0.842 |
16.5 |
1.877 |
28.5 |
3.891 |
40.5 |
7.574 |
5.0 |
0.872 |
17.0 |
1.938 |
29.0 |
4.006 |
41.0 |
7.778 |
5.5 |
0.903 |
17.5 |
2.000 |
29.5 |
4.123 |
41.5 |
7.986 |
6.0 |
0.935 |
18.0 |
2.064 |
30.0 |
4.243 |
42.0 |
8.199 |
6.5 |
0.968 |
18.5 |
2.130 |
30.5 |
4.366 |
42.5 |
8.417 |
7.0 |
1.002 |
19.0 |
2.197 |
31.0 |
4.493 |
43.0 |
8.640 |
7.5 |
1.037 |
19.5 |
2.267 |
31.5 |
4.622 |
43.5 |
8.867 |
8.0 |
1.073 |
20.0 |
2.338 |
32.0 |
4.755 |
44.0 |
9.101 |
8.5 |
1.110 |
20.5 |
2.412 |
32.5 |
4.891 |
44.5 |
9.339 |
9.0 |
1.148 |
21.0 |
2.487 |
33.0 |
5.030 |
45.0 |
9.582 |
9.5 |
1.187 |
21.5 |
2.564 |
33.5 |
5.173 |
45.5 |
9.832 |
10.0 |
1.228 |
22.0 |
2.644 |
34.0 |
5.319 |
46.0 |
10.086 |
10.5 |
1.270 |
22.5 |
2.726 |
34.5 |
5.469 |
46.5 |
10.347 |
11.0 |
1.313 |
23.0 |
2.809 |
35.0 |
5.623 |
47.0 |
10.613 |
11.5 |
1.357 |
23.5 |
2.896 |
35.5 |
5.780 |
47.5 |
10.885 |
12.0 |
1.403 |
24.0 |
2.984 |
36.0 |
5.941 |
48.0 |
11.163 |
12.5 |
1.449 |
24.5 |
3.075 |
36.5 |
6.106 |
48.5 |
11.447 |
TABLE 2.4. Slope of vapour pressure curve (D) for different temperatures (T)
(Eq. 13) | |||||||
T |
D |
T |
D |
T |
D |
T |
D |
1.0 |
0.047 |
13.0 |
0.098 |
25.0 |
0.189 |
37.0 |
0.342 |
1.5 |
0.049 |
13.5 |
0.101 |
25.5 |
0.194 |
37.5 |
0.350 |
2.0 |
0.050 |
14.0 |
0.104 |
26.0 |
0.199 |
38.0 |
0.358 |
2.5 |
0.052 |
14.5 |
0.107 |
26.5 |
0.204 |
38.5 |
0.367 |
3.0 |
0.054 |
15.0 |
0.110 |
27.0 |
0.209 |
39.0 |
0.375 |
3.5 |
0.055 |
15.5 |
0.113 |
27.5 |
0.215 |
39.5 |
0.384 |
4.0 |
0.057 |
16.0 |
0.116 |
28.0 |
0.220 |
40.0 |
0.393 |
4.5 |
0.059 |
16.5 |
0.119 |
28.5 |
0.226 |
40.5 |
0.402 |
5.0 |
0.061 |
17.0 |
0.123 |
29.0 |
0.231 |
41.0 |
0.412 |
5.5 |
0.063 |
17.5 |
0.126 |
29.5 |
0.237 |
41.5 |
0.421 |
6.0 |
0.065 |
18.0 |
0.130 |
30.0 |
0.243 |
42.0 |
0.431 |
6.5 |
0.067 |
18.5 |
0.133 |
30.5 |
0.249 |
42.5 |
0.441 |
7.0 |
0.069 |
19.0 |
0.137 |
31.0 |
0.256 |
43.0 |
0.451 |
7.5 |
0.071 |
19.5 |
0.141 |
31.5 |
0.262 |
43.5 |
0.461 |
8.0 |
0.073 |
20.0 |
0.145 |
32.0 |
0.269 |
44.0 |
0.471 |
8.5 |
0.075 |
20.5 |
0.149 |
32.5 |
0.275 |
44.5 |
0.482 |
9.0 |
0.078 |
21.0 |
0.153 |
33.0 |
0.282 |
45.0 |
0.493 |
9.5 |
0.080 |
21.5 |
0.157 |
33.5 |
0.289 |
45.5 |
0.504 |
10.0 |
0.082 |
22.0 |
0.161 |
34.0 |
0.296 |
46.0 |
0.515 |
10.5 |
0.085 |
22.5 |
0.165 |
34.5 |
0.303 |
46.5 |
0.526 |
11.0 |
0.087 |
23.0 |
0.170 |
35.0 |
0.311 |
47.0 |
0.538 |
11.5 |
0.090 |
23.5 |
0.174 |
35.5 |
0.318 |
47.5 |
0.550 |
12.0 |
0.092 |
24.0 |
0.179 |
36.0 |
0.326 |
48.0 |
0.562 |
12.5 |
0.095 |
24.5 |
0.184 |
36.5 |
0.334 |
48.5 |
0.574 |
TABLE 2.5. Number of the day in the year (J)
Day |
January |
February |
March* |
April* |
May* |
June* |
July* |
August* |
September* |
October* |
November* |
December* |
1 |
1 |
32 |
60 |
91 |
121 |
152 |
182 |
213 |
244 |
274 |
305 |
335 |
2 |
2 |
33 |
61 |
92 |
122 |
153 |
183 |
214 |
245 |
275 |
306 |
336 |
3 |
3 |
34 |
62 |
93 |
123 |
154 |
184 |
215 |
246 |
276 |
307 |
337 |
4 |
4 |
35 |
63 |
94 |
124 |
155 |
185 |
216 |
247 |
277 |
308 |
338 |
5 |
5 |
36 |
64 |
95 |
125 |
156 |
186 |
217 |
248 |
278 |
309 |
339 |
6 |
6 |
37 |
65 |
96 |
126 |
157 |
187 |
218 |
249 |
279 |
310 |
340 |
7 |
7 |
38 |
66 |
97 |
127 |
158 |
188 |
219 |
250 |
280 |
311 |
341 |
8 |
8 |
39 |
67 |
98 |
128 |
159 |
189 |
220 |
251 |
281 |
312 |
342 |
9 |
9 |
40 |
68 |
99 |
129 |
160 |
190 |
221 |
252 |
282 |
313 |
343 |
10 |
10 |
41 |
69 |
100 |
130 |
161 |
191 |
222 |
253 |
283 |
314 |
344 |
11 |
11 |
42 |
70 |
101 |
131 |
162 |
192 |
223 |
254 |
284 |
315 |
345 |
12 |
12 |
43 |
71 |
102 |
132 |
163 |
193 |
224 |
255 |
285 |
316 |
346 |
13 |
13 |
44 |
72 |
103 |
133 |
164 |
194 |
225 |
256 |
286 |
317 |
347 |
14 |
14 |
45 |
73 |
104 |
134 |
165 |
195 |
226 |
257 |
287 |
318 |
348 |
15 |
15 |
46 |
74 |
105 |
135 |
166 |
196 |
227 |
258 |
288 |
319 |
349 |
16 |
16 |
47 |
75 |
106 |
136 |
167 |
197 |
228 |
259 |
289 |
320 |
350 |
17 |
17 |
48 |
76 |
107 |
137 |
168 |
198 |
229 |
260 |
290 |
321 |
351 |
18 |
18 |
49 |
77 |
108 |
138 |
169 |
199 |
230 |
261 |
291 |
322 |
352 |
19 |
19 |
50 |
78 |
109 |
139 |
170 |
200 |
231 |
262 |
292 |
323 |
353 |
20 |
20 |
51 |
79 |
110 |
140 |
171 |
201 |
232 |
263 |
293 |
324 |
354 |
21 |
21 |
52 |
80 |
111 |
141 |
172 |
202 |
233 |
264 |
294 |
325 |
355 |
22 |
22 |
53 |
81 |
112 |
142 |
173 |
203 |
234 |
265 |
295 |
326 |
356 |
23 |
23 |
54 |
82 |
113 |
143 |
174 |
204 |
235 |
266 |
296 |
327 |
357 |
24 |
24 |
55 |
83 |
114 |
144 |
175 |
205 |
236 |
267 |
297 |
328 |
358 |
25 |
25 |
56 |
84 |
115 |
145 |
176 |
206 |
237 |
268 |
298 |
329 |
359 |
26 |
26 |
57 |
85 |
116 |
146 |
177, |
207 |
238 |
269 |
299 |
330 |
360 |
27 |
27 |
58 |
86 |
117 |
147 |
178 |
208 |
239 |
270 |
300 |
331 |
361 |
28 |
28 |
59 |
87 |
118 |
148 |
179 |
209 |
240 |
271 |
301 |
332 |
362 |
29 |
29 |
(60) |
88 |
119 |
149 |
180 |
210 |
241 |
272 |
302 |
333 |
363 |
30 |
30 |
- |
89 |
120 |
150 |
181 |
211 |
242 |
273 |
303 |
334 |
364 |
31 |
31 |
- |
90 |
- |
151 |
- |
212 |
243 |
- |
304 |
- |
365 |
* add 1 if leap yearJ can be determined for each day (D) of month (M) by
J = INTEGER (275 M/9 - 30 + D) - 2
IF (M < 3) THEN J = J + 2
also, IF (leap year and (M > 2)) THEN J = J + 1For ten-day calculations, compute J for day D = 5, 15 and 25 For monthly calculations, J at the middle of the month is approximately given by
J = INTEGER (30.4 M - 15)
TABLE 2.6. Daily extraterrestrial radiation (Ra) for different latitudes for the 15th day of the month 1
(Eq. 21)
(values in MJ m-2 day-1)2
1 Values for Ra on the 15th day of the month provide a good estimate (error < 1 %) of Ra averaged over all days within the month. Only for high latitudes greater than 55° (N or S) during winter months deviations may be more than 1%.2 Values can be converted to equivalent values in mm/day by dividing by Lambda = 2.45.
TABLE 2.7. Mean daylight hours (N) for different latitudes for the 15th of the month1
(Eq. 34)
1 Values for N on the 15th day of the month provide a good estimate (error < 1 %) of N averaged over all days within the month. Only for high latitudes greater than 55° (N or S) during winter months deviations may be more than 1%.
TABLE 2.8. (Stefan-Boltzmann law) at different temperatures (T)
With = 4.903 10-9 MJ K-4 m-2 day-1 and TK = T[°C] + 273.16
T |
|
T |
|
T |
|
1.0 |
27.70 |
17.0 |
34.75 |
33.0 |
43.08 |
1.5 |
27.90 |
17.5 |
34.99 |
33.5 |
43.36 |
2.0 |
28.11 |
18.0 |
35.24 |
34.0 |
43.64 |
2.5 |
28.31 |
18.5 |
35.48 |
34.5 |
43.93 |
3.0 |
28.52 |
19.0 |
35.72 |
35.0 |
44.21 |
3.5 |
28.72 |
19.5 |
35.97 |
35.5 |
44.50 |
4.0 |
28.93 |
20.0 |
36.21 |
36.0 |
44.79 |
4.5 |
29.14 |
20.5 |
36.46 |
36.5 |
45.08 |
5.0 |
29.35 |
21.0 |
36.71 |
37.0 |
45.37 |
5.5 |
29.56 |
21.5 |
36.96 |
37.5 |
45.67 |
6.0 |
29.78 |
22.0 |
37.21 |
38.0 |
45.96 |
6.5 |
29.99 |
22.5 |
37.47 |
38.5 |
46.26 |
7.0 |
30.21 |
23.0 |
37.72 |
39.0 |
46.56 |
7.5 |
30.42 |
23.5 |
37.98 |
39.5 |
46.85 |
8.0 |
30.64 |
24.0 |
38.23 |
40.0 |
47.15 |
8.5 |
30.86 |
24.5 |
38.49 |
40.5 |
47.46 |
9.0 |
31.08 |
25.0 |
38.75 |
41.0 |
47.76 |
9.5 |
31.30 |
25.5 |
39.01 |
41.5 |
48.06 |
10.0 |
31.52 |
26.0 |
39.27 |
42.0 |
48.37 |
10.5 |
31.74 |
26.5 |
39.53 |
42.5 |
48.68 |
11.0 |
31.97 |
27.0 |
39.80 |
43.0 |
48.99 |
11.5 |
32.19 |
27.5 |
40.06 |
43.5 |
49.30 |
12.0 |
32.42 |
28.0 |
40.33 |
44.0 |
49.61 |
12.5 |
32.65 |
28.5 |
40.60 |
44.5 |
49.92 |
13.0 |
32.88 |
29.0 |
40.87 |
45.0 |
50.24 |
13.5 |
33.11 |
29.5 |
41.14 |
45.5 |
50.56 |
14.0 |
33.34 |
30.0 |
41.41 |
46.0 |
50.87 |
14.5 |
33.57 |
30.5 |
41.69 |
46.5 |
51.19 |
15.0 |
33.81 |
31.0 |
41.96 |
47.0 |
51.51 |
15.5 |
34.04 |
31.5 |
42.24 |
47.5 |
51.84 |
16.0 |
34.28 |
32.0 |
42.52 |
48.0 |
52.16 |
16.5 |
34,52 |
32.5 |
42.80 |
48.5 |
52.49 |
TABLE 2.9. Conversion factors to convert wind speed measured at given height (over grass) to wind speed measured at standard height of 2 m above ground surface
(Eq. 47) | |||||||
z height |
conversion factor |
z height |
conversion factor |
z height |
conversion factor |
z height |
conversion factor |
- |
- |
2.2 |
0.980 |
4.2 |
0.865 |
6.0 |
0.812 |
- |
- |
2.4 |
0.963 |
4.4 |
0.857 |
6.5 |
0.802 |
- |
- |
2.6 |
0.947 |
4.6 |
0.851 |
7.0 |
0.792 |
- |
- |
2.8 |
0.933 |
4.8 |
0.844 |
7.5 |
0.783 |
1.0 |
1.178 |
3.0 |
0.921 |
5.0 |
0.838 |
8.0 |
0.775 |
1.2 |
1.125 |
3.2 |
0.910 |
5.2 |
0.833 |
8.5 |
0.767 |
1.4 |
1.084 |
3.4 |
0.899 |
5.4 |
0.827 |
9.0 |
0.760 |
1.6 |
1.051 |
3.6 |
0.889 |
5.6 |
0.822 |
9.5 |
0.754 |
1.8 |
1.023 |
3.8 |
0.881 |
5.8 |
0.817 |
10.0 |
0.748 |
2.0 |
1.000 |
4.0 |
0.872 |
6.0 |
0.812 |
10.5 |
0.742 |