289a491f-4bd6-4174-bfb8-e0bf1c1e57f7 14 6 9 decimal

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

vx vy char size color plotG n vx length : plot vx 1 el vy 1 el char size color augment : i 2 n range plot plot vx i el vy i el char size color augment stack : for plot 41 line :

Water viscosity ... μ[cp]/°C [boiling range]

t[°C] ... μ[cp] XY 0.01 1.787 5 1.519 10 1.307 20 1.002 30 0.798 40 0.653 50 0.547 60 0.467 70 0.404 80 0.355 90 0.315 100 0.282 122 mat :

x β μ β 1 el β 2 el β 3 el x + / + exp :

X XY 1 col : Y XY 2 col : β 3.466 - 487.393 120.455 31 mat : cp 0.001 Pa * s * ≡ 41 line

Unlike mathematical functions, sampled data are never "true". Thus, we express the residuals of the model fit in term of ------ relative residuals -----

data X Y . 14 black plotG : t 25 : cp @ User [t] ≡ t μ t t β μ + 20 blue 15 mat : 31 line

Range/populate the discrete fit μ100 t 0.01 1001 range : i 1 t rows range μ i el t i el β μ eval : for t μ augment 31 line :

Relative residuals Δ i 1 X rows range resd i el 1 Y i el X i el β μ / - eval : for XY resd augment 21 line :

data μ100 t μ 3 1 sys

Relative residuals Δ 0.01 1.787 0.001 - 5 1.519 0.001 10 1.307 0.002 20 1.002 0.002 30 0.798 0.001 - 40 0.653 0.002 - 50 0.547 0.003 - 60 0.467 0.004 - 70 0.404 0.001 - 80 0.355 0.001 90 0.315 0.005 100 0.282 0.011 123 mat

t β μ 0.891

<--- t[°C]--->

Water viscosity ... μ[cp]/°C [critical range]

Vis 5 1.518 10 1.306 25 0.890 50 0.547 100 0.282 150 0.182 200 0.134 250 0.106 300 0.086 350 0.066 102 mat :

μT 5 1.518 10 23.5849 - 25 1.8155 - 50 431.4077 100 0.3067 150 4743.5692 200 0.0595 250 1529.7102 - 300 0.0923 - 350 1490.914 - 102 mat :

X Vis 1 col : Y Vis 2 col : T μT 1 col : μ μT 2 col : 41 line

Thiele continued fraction ... Optimiz numeric t μT μ 1 el t T 1 el - μ 2 el t T 2 el - μ 3 el t T 3 el - μ 4 el t T 4 el - μ 5 el t T 5 el - μ 6 el t T 6 el - μ 7 el t T 7 el - μ 8 el t T 8 el - μ 9 el / + / + / + / + / + / + / + / + :

Optimiz => numeric μ350 t 03501 range : i 1 t rows range v i el t i el μT eval : 11 line for t v augment 31 line :

data X Y . 14 black plotG : t 75 : cp @ User [t] ≡ t cp t t μT + 20 blue 15 mat : 31 line

Water viscoity ... μ[cp] / °C ... critical range

data μ350 t cp 3 1 sys

t μT 0.38

<--- t[°C]--->