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&[DATE] &[TIME] - &[FILENAME]

Optimal distribution of interpolation points

Thermodynamic Formulae

saturation steam pressure above water or ice

hPa 100 Pa * :

T E.w e 6096.9385 - T / 16.635794 + 2.711193 102 -^* T * - 1.673952 105 -^* T 2^* + 2.433502 T ln * +^:

T E.i e 6024.5282 - T / 24.7219 + 1.0613868 102 -^* T * + 1.3198825 105 -^* T 2^* - 0.49382577 T ln * -^:

ϑ E ϑ K / E.w hPa * ϑ 0.01 °C * ≥ (ϑ 100 °C * ≤ (& ϑ K / E.i hPa * ϑ 100 - (°C * ≥ (ϑ 0.01 °C * < (& not defined cases :

put together
for water and ice

t f 1.0047 t 50 - (°C * ≥ (t 60 °C * < (& not defined cases :

Enhancement factor

Formula to be interpolated:
Saturation steam pressure in humid air

ϑ E.l ϑ E ϑ f * :

Test

20 °C * E 2339 Pa *

20 °C * E.l 2350 Pa *

Temperature range from

T.min 25 - (°C * :

T.max 60 °C * :

number of points

n 120 :

wanted: list of temperature points that produce the best fit for

E.l

IAPWS-97

Water Saturation Temperature ... bar(°C)

°C 1 :

bar 1 :

n 1167.0521452767 724213.16703206 - 17.073846940092 - 12020.82470247 3232555.0322333 - 14.91510861353 4823.2657361591 - 405113.40542057 0.23855557567849 - 650.17534844798 101 mat :

K 273.15 : t v t K + (n 9 el t K + (n 10 el - / + : t A t v n 1 el + (t v * n 2 el + : t B n 3 el t v * n 4 el + (t v * n 5 el + : t C n 6 el t v * n 7 el + (t v * n 8 el + : t bar_1 102 t C * t B - t B 2^4 t A * t C * - (0.5^+ / (4^* : u 0 x ≤ (x 373.946 ≤ (* : 71 sys

373.946 bar_1 bar 220.64

a 348.05185628969 1.1671859879975 - 0.0010192970039326 572.54459862746 13.918839778870 51 mat :

K 273.15 : t bar_2 10 a 3 el t K + (* a 2 el + (t K + (* a 1 el + (* : w 350 x ≤ (x 590 ≤ (* : 31 sys

x bar_1

critical °C 373.946 ≡ bar 220.64 ≡ 21 sys

150 bar_1 4.761

Water Saturation Pressure ... °C(bar)

K 273.15 : p β p 10 / (0.25^: p E p β n 3 el + (p β * n 6 el + : p F n 1 el p β * n 4 el + (p β * n 7 el + : p G n 2 el p β * n 5 el + (p β * n 8 el + : p D 2 p G * p F - p F 2^4 p E * p G * - (0.5^- / : p °C n 10 el p D + n 10 el p D + (2^(4 n 9 el n 10 el p D * + (* - (0.5^- 2 / K - : x c 10 x ≤ (x 220.64 ≤ (& cases : 81 sys

x °C x c *

sanity 10 °C °C 179.9