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SEAWATER DENSITY & VISCOSITY CALCULATOR Please enter the values of salinity and temperature of the effluent or ambient Salinity: Sal = 35.00 ppt Temperature: T = 30.00 °C Density: 1021.378 kg/m³ Dynamic Viscosity: m = 0.861 Kinematic Viscosity: n = 0.843 source: El-Dessouky, Ettouny (2002): Fundamentals of Sea Water Desalination (Appendix A: Themodynamic Density of sea water as a function of salinity and temperature Salinity: 0 to 160 ppt, Temperature: 10 to 180 °C, Pressure: p = 1 atm The density correlation of sea water is given by: [kg/m³] where: F1 = 0.5 G1 = 0.5 A1 = 4.032219 G1 + 0.115313 G2 + 3.26*10-4 G3 F2 = A G2 = B A2 = -0.108199 G1 + 1.571*10-3 G2 - 4.23 * 10-4 G3 F3 = 2A² - 1 G3 = 2B² - 1 A3 = -0.012247 G1 + 1.74*10-3 G2 - 9.0*10-6 G3 F4 = 4A³ - 3A A4 = 6.92*10-4 G1 - 8.7*10-5 G2 - 5.3*10-5 G3 A = (2T-200)/160 B = (2Sal-150)/150 Viscosity of sea water as a function of salinity and temperature Salinity: 0 to 130 ppt, Temperature: 10 to 180 °C, Pressure: p = 1 atm The dynamic viscosity correlation of sea water is given by: [kg/m s] for r: 0 £ Sal £ 160 p for m: 0 £ Sal £ 130 p 10 £ T £ 180 °C r = *10 -3 kg/m s *10 -6 m²/s r = (A1F1 + A2F2 + A3F3 + A4F4)*10³ m = (mW)(mR)*10 -3
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SEAWATER DENSITY & VISCOSITY CALCULATOR
Please enter the values of salinity and temperature of the effluent or ambient water (p=1atm):
Salinity: Sal = 35.00 ppt
Temperature: T = 30.00 °C
Density: 1021.378 kg/m³
Dynamic Viscosity: m = 0.861
Kinematic Viscosity: n = 0.843
source:
El-Dessouky, Ettouny (2002): Fundamentals of Sea Water Desalination (Appendix A: Themodynamic Properties)
Density of sea water as a function of salinity and temperature
Salinity: 0 to 160 ppt, Temperature: 10 to 180 °C, Pressure: p = 1 atm
The density correlation of sea water is given by:
[kg/m³]
where:F1 = 0.5 G1 = 0.5 A1 = 4.032219 G1 + 0.115313 G2 + 3.26*10-4 G3F2 = A G2 = B A2 = -0.108199 G1 + 1.571*10-3 G2 - 4.23 * 10-4 G3F3 = 2A² - 1 G3 = 2B² - 1 A3 = -0.012247 G1 + 1.74*10-3 G2 - 9.0*10-6 G3F4 = 4A³ - 3A A4 = 6.92*10-4 G1 - 8.7*10-5 G2 - 5.3*10-5 G3
A = (2T-200)/160 B = (2Sal-150)/150
Viscosity of sea water as a function of salinity and temperature
Salinity: 0 to 130 ppt, Temperature: 10 to 180 °C, Pressure: p = 1 atm
The dynamic viscosity correlation of sea water is given by:
[kg/m s]
[m²/s]
where:-3.79418 + 604.129/(139.18+T)
for r: 0 £ Sal £ 160 ppt
for m: 0 £ Sal £ 130 ppt
10 £ T £ 180 °C
r =
*10-3 kg/m s
*10-6 m²/s
r = (A1F1 + A2F2 + A3F3 + A4F4)*10³
m = (mW)(mR)*10-3
n = m / r
Ln(mW) =
1 + A*Sal + B*Sal²A = B =
mR =1.474*10-3 + 1.5*10-5 T - 3.927*10-8 T2
1.0734*10-5 - 8.5*10-8 T +2.23*10-10 T2
El-Dessouky, Ettouny (2002): Fundamentals of Sea Water Desalination (Appendix A: Themodynamic Properties)
El-Dessouky, Ettouny (2002): Fundamentals of Sea Water Desalination (Appendix A: Themodynamic Properties)
Variation in density [kg/m³] as a function of temperature [°C] and salinity [ppt]
Salinity [ppt]T [°C] 0 10 20 30 40 50 60 70 80 90
10 1000.730 1008.192 1015.707 1023.275 1030.896 1038.570 1046.298 1054.079 1061.913 1069.80015 999.647 1007.080 1014.563 1022.094 1029.674 1037.303 1044.981 1052.708 1060.483 1068.30820 998.402 1005.810 1013.263 1020.761 1028.303 1035.891 1043.523 1051.200 1058.921 1066.68825 996.999 1004.384 1011.810 1019.277 1026.785 1034.334 1041.924 1049.556 1057.228 1064.94230 995.440 1002.804 1010.205 1017.644 1025.121 1032.636 1040.189 1047.779 1055.407 1063.07335 993.727 1001.072 1008.452 1015.866 1023.316 1030.800 1038.319 1045.872 1053.460 1061.08340 991.861 999.190 1006.552 1013.945 1021.370 1028.827 1036.316 1043.837 1051.390 1058.97545 989.846 997.162 1004.507 1011.882 1019.286 1026.720 1034.183 1041.676 1049.198 1056.74950 987.683 994.989 1002.321 1009.681 1017.068 1024.482 1031.923 1039.391 1046.887 1054.40955 985.375 992.673 999.996 1007.344 1014.717 1022.115 1029.538 1036.986 1044.459 1051.95760 982.924 990.217 997.533 1004.873 1012.235 1019.621 1027.030 1034.462 1041.917 1049.39565 980.332 987.624 994.936 1002.270 1009.626 1017.003 1024.401 1031.821 1039.262 1046.72570 977.602 984.894 992.207 999.539 1006.891 1014.263 1021.655 1029.067 1036.498 1043.95075 974.735 982.032 989.347 996.681 1004.033 1011.404 1018.793 1026.201 1033.627 1041.07180 971.734 979.039 986.361 993.699 1001.055 1008.428 1015.818 1023.225 1030.650 1038.09185 968.601 975.917 983.249 990.596 997.959 1005.338 1012.733 1020.143 1027.570 1035.01290 965.339 972.669 980.014 987.373 994.747 1002.136 1009.539 1016.957 1024.389 1031.83695 961.949 969.297 976.659 984.034 991.422 998.824 1006.240 1013.668 1021.110 1028.566
100 958.434 965.804 973.186 980.580 987.987 995.406 1002.837 1010.280 1017.736 1025.203105 954.796 962.191 969.597 977.014 984.443 991.882 999.333 1006.794 1014.267 1021.751110 951.037 958.461 965.895 973.339 980.793 988.257 995.730 1003.214 1010.707 1018.210115 947.159 954.616 962.082 969.557 977.040 984.531 992.032 999.540 1007.058 1014.584120 943.165 950.659 958.161 965.670 973.186 980.709 988.239 995.777 1003.322 1010.874125 939.057 946.592 954.133 961.680 969.233 976.791 984.356 991.926 999.501 1007.083130 934.837 942.418 950.002 957.591 965.184 972.781 980.383 987.989 995.599 1003.213135 930.508 938.137 945.770 953.404 961.042 968.682 976.324 983.969 991.616 999.266140 926.071 933.754 941.438 949.123 956.808 964.494 972.181 979.868 987.556 995.244145 921.529 929.270 937.010 944.749 952.486 960.221 967.956 975.689 983.420 991.150150 916.884 924.687 932.488 940.284 948.077 955.866 963.652 971.433 979.212 986.986155 912.138 920.009 927.873 935.732 943.584 951.431 959.271 967.105 974.932 982.754160 907.293 915.236 923.170 931.095 939.010 946.917 954.815 962.704 970.585 978.456165 902.353 910.372 918.379 926.374 934.357 942.329 950.288 958.235 966.171 974.094170 897.318 905.418 913.503 921.573 929.628 937.667 945.691 953.700 961.693 969.671175 892.191 900.378 908.546 916.694 924.824 932.935 941.027 949.100 957.154 965.189180 886.975 895.253 903.508 911.740 919.949 928.135 936.298 944.438 952.556 960.650
Salinity [ppt]T [°C] 0 10 20 30 40 50 60 70 80 90
10 1.290 1.303 1.317 1.334 1.353 1.375 1.398 1.423 1.450 1.48015 1.133 1.144 1.158 1.173 1.191 1.210 1.230 1.253 1.277 1.30320 1.003 1.014 1.026 1.041 1.056 1.073 1.092 1.112 1.134 1.15625 0.894 0.905 0.917 0.930 0.944 0.960 0.977 0.995 1.014 1.03430 0.804 0.813 0.824 0.837 0.850 0.864 0.879 0.896 0.913 0.93135 0.727 0.736 0.746 0.757 0.770 0.783 0.797 0.812 0.828 0.84440 0.661 0.670 0.679 0.690 0.701 0.713 0.726 0.740 0.754 0.76945 0.604 0.613 0.622 0.632 0.642 0.653 0.665 0.678 0.691 0.70550 0.555 0.563 0.572 0.581 0.591 0.602 0.613 0.624 0.637 0.649
Variation in kinematic viscosity [10-6 m²/s] as a function of temperature [°C] and salinity [ppt]
55 0.513 0.520 0.528 0.537 0.547 0.556 0.567 0.577 0.589 0.60160 0.475 0.483 0.490 0.499 0.507 0.517 0.526 0.536 0.547 0.55865 0.442 0.449 0.457 0.465 0.473 0.482 0.491 0.500 0.510 0.52070 0.413 0.420 0.427 0.435 0.443 0.451 0.459 0.468 0.477 0.48775 0.388 0.394 0.401 0.408 0.415 0.423 0.431 0.440 0.448 0.45780 0.365 0.371 0.377 0.384 0.391 0.399 0.406 0.414 0.422 0.43085 0.344 0.350 0.356 0.363 0.369 0.376 0.384 0.391 0.399 0.40790 0.325 0.331 0.337 0.343 0.350 0.357 0.363 0.370 0.378 0.38595 0.309 0.314 0.320 0.326 0.332 0.339 0.345 0.352 0.359 0.366
100 0.293 0.299 0.304 0.310 0.316 0.322 0.328 0.335 0.341 0.348105 0.280 0.285 0.290 0.296 0.302 0.307 0.313 0.319 0.326 0.332110 0.267 0.272 0.278 0.283 0.288 0.294 0.300 0.305 0.311 0.317115 0.256 0.261 0.266 0.271 0.276 0.282 0.287 0.293 0.298 0.304120 0.245 0.250 0.255 0.260 0.265 0.270 0.275 0.281 0.286 0.292125 0.236 0.240 0.245 0.250 0.255 0.260 0.265 0.270 0.275 0.280130 0.227 0.232 0.236 0.241 0.245 0.250 0.255 0.260 0.265 0.270135 0.219 0.223 0.228 0.232 0.237 0.241 0.246 0.251 0.256 0.260140 0.212 0.216 0.220 0.224 0.229 0.233 0.238 0.242 0.247 0.252145 0.205 0.209 0.213 0.217 0.221 0.226 0.230 0.234 0.239 0.243150 0.198 0.202 0.206 0.210 0.214 0.219 0.223 0.227 0.231 0.236155 0.192 0.196 0.200 0.204 0.208 0.212 0.216 0.220 0.224 0.229160 0.187 0.191 0.194 0.198 0.202 0.206 0.210 0.214 0.218 0.222165 0.182 0.185 0.189 0.193 0.196 0.200 0.204 0.208 0.212 0.216170 0.177 0.180 0.184 0.188 0.191 0.195 0.199 0.202 0.206 0.210175 0.173 0.176 0.179 0.183 0.186 0.190 0.194 0.197 0.201 0.205180 0.168 0.172 0.175 0.178 0.182 0.185 0.189 0.192 0.196 0.199
Salinity [ppt]100 110 120 130 140 150 160
1077.741 1085.734 1093.781 1101.881 1110.034 1118.241 1126.5001076.181 1084.103 1092.073 1100.093 1108.161 1116.279 1124.4451074.499 1082.355 1090.256 1098.202 1106.192 1114.227 1122.3071072.697 1080.493 1088.330 1096.208 1104.128 1112.088 1120.0901070.777 1078.518 1086.298 1094.115 1101.969 1109.862 1117.7921068.741 1076.433 1084.161 1091.923 1099.719 1107.551 1115.4171066.591 1074.240 1081.921 1089.634 1097.378 1105.155 1112.9631064.330 1071.940 1079.580 1087.249 1094.948 1102.676 1110.4331061.959 1069.536 1077.140 1084.771 1092.429 1100.115 1107.8271059.481 1067.029 1074.602 1082.201 1089.825 1097.473 1105.1471056.897 1064.421 1071.969 1079.540 1087.135 1094.752 1102.3931054.210 1061.715 1069.242 1076.791 1084.361 1091.953 1099.5661051.421 1058.912 1066.424 1073.955 1081.506 1089.076 1096.6671048.534 1056.015 1063.515 1071.033 1078.569 1086.124 1093.6981045.549 1053.025 1060.517 1068.027 1075.553 1083.097 1090.6581042.470 1049.944 1057.433 1064.939 1072.460 1079.997 1087.5501039.298 1046.774 1054.264 1061.770 1069.290 1076.824 1084.3731036.035 1043.517 1051.013 1058.522 1066.044 1073.580 1081.1301032.683 1040.176 1047.680 1055.197 1062.726 1070.267 1077.8201029.245 1036.751 1044.268 1051.796 1059.335 1066.885 1074.4461025.723 1033.246 1040.778 1048.321 1055.873 1063.435 1071.0071022.118 1029.661 1037.213 1044.773 1052.342 1059.919 1067.5051018.433 1026.000 1033.574 1041.155 1048.743 1056.338 1063.9411014.670 1022.263 1029.862 1037.467 1045.077 1052.694 1060.3161010.831 1018.454 1026.081 1033.712 1041.347 1048.986 1056.6301006.918 1014.573 1022.230 1029.890 1037.553 1045.218 1052.8851002.933 1010.623 1018.314 1026.005 1033.696 1041.389 1049.082
998.879 1006.606 1014.332 1022.056 1029.779 1037.501 1045.221994.757 1002.524 1010.287 1018.047 1025.803 1033.555 1041.304990.569 998.378 1006.181 1013.978 1021.769 1029.553 1037.331986.318 994.171 1002.016 1009.851 1017.678 1025.496 1033.304982.006 989.905 997.793 1005.669 1013.532 1021.384 1029.224977.634 985.582 993.514 1001.431 1009.333 1017.219 1025.091973.205 981.203 989.181 997.141 1005.081 1013.003 1020.906968.722 976.770 984.796 992.799 1000.779 1008.736 1016.670
Salinity [ppt]100 110 120 130
1.511 1.544 1.578 1.6151.330 1.359 1.389 1.4211.180 1.206 1.233 1.2601.056 1.078 1.102 1.1270.951 0.971 0.992 1.0140.862 0.880 0.899 0.9190.785 0.802 0.819 0.8370.720 0.735 0.750 0.7660.663 0.676 0.691 0.705
m²/s] as a function of temperature [°C] and salinity [ppt]
0.613 0.625 0.639 0.6520.569 0.581 0.593 0.6050.531 0.541 0.553 0.5640.497 0.507 0.517 0.5280.466 0.476 0.485 0.4950.439 0.448 0.457 0.4660.415 0.423 0.431 0.4400.393 0.400 0.408 0.4170.373 0.380 0.388 0.3950.355 0.362 0.369 0.3760.338 0.345 0.352 0.3590.324 0.330 0.336 0.3430.310 0.316 0.322 0.3280.297 0.303 0.309 0.3150.286 0.291 0.297 0.3020.275 0.280 0.286 0.2910.265 0.270 0.275 0.2810.256 0.261 0.266 0.2710.248 0.253 0.257 0.2620.240 0.245 0.249 0.2540.233 0.237 0.241 0.2460.226 0.230 0.234 0.2390.220 0.224 0.228 0.2320.214 0.218 0.222 0.2250.208 0.212 0.216 0.2190.203 0.207 0.210 0.214
0 20 40 60 80 100 120 140 160 180875.0
900.0
925.0
950.0
975.0
1000.0
1025.0
1050.0
1075.0
1100.0
1125.0
1150.0Density as a function of Salinity and Temperature
Sal = 150 ppt
Sal = 130 ppt
Sal = 110 ppt
Sal = 90 ppt
Sal = 70 ppt
Sal = 50 ppt
Sal = 30 ppt
Sal = 10 ppt
Sal = 0 ppt
Temperature T [°C]
Den
sity
r [k
g/m
³]
150 ppt
0 ppt
0 20 40 60 80 100 120 140 160 1800.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
1.8Kinematic Viscosity as a function of Salinity and Temperature
Sal = 120 ppt
Sal = 90 ppt
Sal = 60 ppt
Sal = 30 ppt
Sal = 0 ppt
Temperature T [°C]
Kine
mati
c Vi
scos
ity n
[10-
6 m
²/s]
SEAWATER DENSITY CALCULATORSalinity = 0 - 42 ppt
Salinity: Sal = 10.00 ppt
Temperature: T = 10.00 °C
Density: 1007.501 kg/m³
source:
Calculations are based on the "One Atmosphere Int. Equation of State of SW" (UNESCO, 1980)
Please enter the values of salinity and temperature of the effluent or ambient water (p=1atm):
0 £ Sal < 42 ppt
0 £ T £ 40 °C
r =
Dynamic Viscosity of Seawater (Sündermann, 1986)
temperature: T = 20.00 °Csalinity: S = 0.00 ppt
998.011 kg/m³
1.002E-03 kg/(m*s)A = 1.144E-03B = 3.251E-03Cl = 0.000E+00
dynamic viscosity: 1.002E-03 kg/(m*s)
kinematic viscosity: 1.004E-06 m²/s
mw (20°C) = 1.002*10-3 kg/(m*s)
Valid for salinities between 0 and 40 ppt and temperatures between 5 and 25°C.
r =
mw =
msw =
nsw = (with nsw = msw /r )
