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&[DATE] &[TIME] - &[FILENAME]
&[PAGENUM] / &[COUNT]

THREE PARAMETER EQUATION-1

Equation Parameters for Water

A 1.94 - : B 4.80 - : C 6.74 : 1 3 mat

Reference Values for Water

μ.0 1.7916 MPa * s * : T.0 273.15 K * : 1 2 mat

Temperature Table

T 0 370 range °C * :

Viscosity Table

μ μ.0 e A B T.0 T / ( * + C T.0 T / ( 2 ^ * + ^ * vectorize : T °C / μ MPa s * / augment table header T T.0 μ.0 C B A table header μ T T.0 μ.0 C B A T T.0 μ.0 C B A
0 1.7916
10 1.3297
20 1.0225
30 0.8107
40 0.6599
50 0.5496
60 0.4669
70 0.4037
80 0.3544
90 0.3153
100 0.2839
#
mat("Temperature","(°C)",2,1) mat("Viscosity","(mPa·s)",2,1)
#
#
#
header Temperature (\00B0\C) 2 1 mat Viscosity (mPa*s) 2 1 mat 1 2 mat : i 0 10 range table i 1 + 1 el T i 10 * 1 + el K / 273.15 - : table i 1 + 2 el μ i 10 * 1 + el MPa s * / : 2 1 line for table 3 1 line

THREE PARAMETER EQUATION-2

Equation Parameters for Water

A 3.7188 - : B 578.919 K * : C 137.546 K * - : 1 3 mat

Temperature Table

T 0 370 range °C * :

Viscosity Table

η e A B C T + / + ^ vectorize : T °C / η augment table header T T.0 μ.0 C B A η table header μ T T.0 μ.0 C B A T T.0 μ.0 C B A
0 1.7339
10 1.2933
20 1.0017
30 0.8001
40 0.6557
50 0.549
60 0.4681
70 0.4053
80 0.3557
90 0.3158
100 0.2832
#
mat("Temperature","(°C)",2,1) mat("Viscosity","(mPa·s)",2,1)
#
#
#
header Temperature (\00B0\C) 2 1 mat Viscosity (mPa*s) 2 1 mat 1 2 mat : i 0 10 range table i 1 + 1 el T i 10 * 1 + el K / 273.15 - : table i 1 + 2 el η i 10 * 1 + el : 2 1 line for table 3 1 line

FOUR PARAMETER EQUATION

Equation Parameters for Water

A 1.856 10 11 - ^ * : B 4209 K * : C 0.04527 K / : D 3.376 10 5 - ^ * - K 2 ^ / : 1 4 mat

Temperature Table

T 0 370 range °C * :

Viscosity Table

η A e B T / C T * + D T 2 ^ * + ^ * vectorize : T °C / η augment D table header T T.0 μ.0 C B A D η table header μ T T.0 μ.0 C B A D T T.0 μ.0 C B A
0 1.7259
10 1.3053
20 1.0176
30 0.8149
40 0.668
50 0.559
60 0.4765
70 0.4127
80 0.3625
90 0.3223
100 0.2898
#
mat("Temperature","(°C)",2,1) mat("Viscosity","(mPa·s)",2,1)
#
#
#
header Temperature (\00B0\C) 2 1 mat Viscosity (mPa*s) 2 1 mat 1 2 mat : i 0 10 range table i 1 + 1 el T i 10 * 1 + el K / 273.15 - : table i 1 + 2 el η i 10 * 1 + el : 2 1 line for table 3 1 line

VOGEL-FULSCHER-TAMMANN EQUATION

Equation Parameters for Water

A 0.02939 MPa * s * : B 507.88 K * : C 149.3 K * : 1 3 mat

Temperature Table

T 0 370 range °C * :

Viscosity Table

μ A e B T C - ( / ^ * vectorize : T °C / μ MPa s * / augment D table header T T.0 μ.0 C B A D η table header μ T T.0 μ.0 C B A D T T.0 μ.0 C B A
0 1.7748
10 1.3064
20 1.0035
30 0.7977
40 0.6522
50 0.5457
60 0.4655
70 0.4037
80 0.355
90 0.316
100 0.2841
#
mat("Temperature","(°C)",2,1) mat("Viscosity","(mPa·s)",2,1)
#
#
#
header Temperature (\00B0\C) 2 1 mat Viscosity (mPa*s) 2 1 mat 1 2 mat : i 0 10 range table i 1 + 1 el T i 10 * 1 + el K / 273.15 - : table i 1 + 2 el μ i 10 * 1 + el MPa s * / : 2 1 line for table 3 1 line

DERIVED EMPIRICAL EQUATION

Temperature Table

T 0 370 range °C * :

Formula

i 0 370 range i 95 < μ i 1 + el 2.77388442 i 6 ^ * 1243.59703683 i 5 ^ * - 229813.89243372 i 4 ^ * + 23103721.0686735 i 3 ^ * - 1433935467.00877 i 2 ^ * + 60641409200.4945 i * - 1791572546818.17 + ( vectorize 10 12 - ^ * MPa * s * : μ i 1 + el 0.45450686 - ( i 5 ^ * 592.47759433 i 4 ^ * + 315306.5024333 i 3 ^ * - 86868859.3636402 i 2 ^ * + 12933861978.8223 i * - 966679340785.643 + ( vectorize 10 12 - ^ * MPa * s * : if for T °C / μ MPa s * / augment D table header T T.0 μ.0 C B A D η table header μ T T.0 μ.0 C B A D T T.0 μ.0 C B A
0 1.7916
10 1.3076
20 1.0005
30 0.797
40 0.6539
50 0.5474
60 0.4656
70 0.4024
80 0.3537
90 0.315
100 0.2814
#
mat("Temperature","(°C)",2,1) mat("Viscosity","(mPa·s)",2,1)
#
#
#
header Temperature (\00B0\C) 2 1 mat Viscosity (mPa*s) 2 1 mat 1 2 mat : i 0 10 range table i 1 + 1 el T i 10 * 1 + el K / 273.15 - : table i 1 + 2 el μ i 10 * 1 + el MPa s * / : 2 1 line for table 3 1 line