4.11 Correlation for CO 2 loaded solutions
4.11.2 Correlation results for CO 2 loaded 3A1P solutions
Figure 4-43 compares the predicted viscosities from modified setchnow type equation to the experimental viscosities for 50 Wt % 3A1P loaded solution as a function of loading value at each temperature.
Modified setchnow model at 298.15K This work at 303.15K
Modified setchnow model at 303.15K This work at 308.15K
Modified setchnow model at 308.15K This work at 313.15K
Modified setchnow model at 313.15K This work at 318.15K
Modified setchnow model at 318.15K This work at 323.15K
Modified setchnow model at 323.15K This work at 328.15K
Modified setchnow model at 328.15K This work at 333.15K
Modified setchnow model at 333.15K This work at 338.15K
Modified setchnow model at 338.15K This work at 343.15K
Modified setchnow model at 343.15K This work at 348.15K
Modified setchnow model at 348.15K This work at 353.15K
Modified setchnow model at 353.15K This work at 358.15K
Modified setchnow model at 358.15K This work at 363.15K
Modified setchnow model at 363.15K This work at 368.15K
Modified setchnow model at 368.15K This work at 373.15K
Modified setchnow model at 373.15K
Figure 4-43: Predicted viscosities from modified Setchnow type equation for 50 Wt % 3A1P loaded solution.
Predicted viscosities from modified setchnow type equation showed a good agreement with experimental viscosities for 50 Wt % 3A1P loaded solution, where an average absolute deviation of 0.073mPa.s was determined. The regressed parameters for the temperature range are shown in Table 4-34.
Temperature range (K) K1 K2 K3 K4
298.15 - 373.15 2.5967 -0.0026 -1.4731 0.0039
Table 4-34: Regressed parameters for modified setchnow equation for 50 Wt % 3A1P CO2 loaded solution.
Comparison between predicted viscosities from modified Hartono model and experimental viscosities for 50 Wt % 3A1P loaded solution as a function of loading value at each temperature is shown in Figure 4-44.
Modified Hartono model at 298.15K This work at 303.15K
Modified Hartono model at 303.15K This work at 308.15K
Modified Hartono model at 308.15K This work at 313.15K
Modified Hartono model at 313.15K This work at 318.15K
Modified Hartono model at 318.15K This work at 323.15K
Modified Hartono model at 323.15K This work at 328.15K
Modified Hartono model at 328.15K This work at 333.15K
Modified Hartono model at 333.15K This work at 338.15K
Modified Hartono model at 338.15K This work at 343.15K
Modified Hartono model at 343.15K This work at 348.15K
Modified Hartono model model at 348.15K This work at 353.15K
Modified Hartono model at 353.15K This work at 358.15K
Modified Hartono model at 358.15K This work at 363.15K
Modified Hartono model at 363.15K This work at 368.15K
Modified Hartono model at 368.15K This work at 373.15K
Modified Hartono model at 373.15K
Figure 4-44: Predicted viscosities from modified Hartono model for 50 Wt % 3A1P loaded solution.
The predicted viscosities from modified Hartono model showed good agreement with experimental viscosities, with an average absolute deviation of 0.066mPa.s. The determined model parameters at each temperature are presented in Table 4-35.
Temperature(K) a b c Temperature(K) a b c
Temperature(K) a b c Temperature(K) a b c 348.15 28.95 119.47 -155.14 363.15 19.01 149.51 -183.88 353.15 31.17 108.33 -141.12 368.15 14.48 168.79 -205.22 358.15 32.66 101.37 -133.05 373.15 22.69 135.09 -164.76 Table 4-35: Regressed parameters for modified Hartono model for 50 Wt % 3A1P loaded solution.
Comparison between predicted viscosities from modified setchnow type equation and experimental viscosities for 30 Wt % 3A1P loaded solution is shown in Figure 4-45.
0.1 0.2 0.3 0.4 0.5 0.6
Modified setchnow model at 298.15K This work at 303.15K
Modified setchnow model at 303.15K This work at 308.15K
Modified setchnow model at 308.15K This work at 313.15K
Modified setchnow model at 313.15K This work at 318.15K
Modified setchnow model at 318.15K This work at 323.15K
Modified setchnow model at 323.15K This work at 328.15K
Modified setchnow model at 328.15K This work at 333.15K
Modified setchnow model at 333.15K This work at 338.15K
Modified setchnow model at 338.15K This work at 343.15K
Modified setchnow model at 343.15K This work at 348.15K
Modified setchnow model at 348.15K This work at 353.15K
Modified setchnow model at 353.15K This work at 358.15K
Modified setchnow model at 358.15K This work at 363.15K
Modified setchnow model at 363.15K This work at 368.15K
Modified setchnow model at 368.15K This work at 373.15K
Modified setchnow model at 373.15K
Figure 4-45: Predicted viscosities from modified Setchnow type equation for 30 Wt % 3A1P loaded solution.
Modified setchnow type equation correlated the experimental viscosities of 30 Wt % 3A1P loaded solution satisfactorily, but showed a maximum deviation at lower temperature(298.15 K). An average absolute deviation of 0.034mPa.s was determined between experimental and predicted viscosities. The regressed parameters for the temperature range are shown in Table 4-36.
Temperature range (K) K1 K2 K3 K4
298.15 - 373.15 -1.1471 0.0069 2.1341 -0.0084
Table 4-36: Regressed parameters for modified setchnow equation for 30 Wt % 3A1P CO2 loaded solution.
Figure 4-46 compares the predicted viscosities from modified Hartono model to the experimental viscosities for 30 Wt % 3A1P loaded solution.
0.1 0.2 0.3 0.4 0.5 0.6
Modified Hartono model at 298.15K This work at 303.15K
Modified Hartono model at 303.15K This work at 308.15K
Modified Hartono model at 308.15K This work at 313.15K
Modified Hartono model at 313.15K This work at 318.15K
Modified Hartono model at 318.15K This work at 323.15K
Modified Hartono model at 323.15K This work at 328.15K
Modified Hartono model at 328.15K This work at 333.15K
Modified Hartono model at 333.15K This work at 338.15K
Modified Hartono model at 338.15K This work at 343.15K
Modified Hartono model at 343.15K This work at 348.15K
Modified Hartono model model at 348.15K This work at 353.15K
Modified Hartono model at 353.15K This work at 358.15K
Modified Hartono model at 358.15K This work at 363.15K
Modified Hartono model at 363.15K This work at 368.15K
Modified Hartono model at 368.15K This work at 373.15K
Modified Hartono model at 373.15K
Figure 4-46: Predicted viscosities from modified Hartono model for 30 Wt % 3A1P loaded solution.
Predicted viscosities from modified Hartono model correlated the experimental viscosities satisfactorily. An average absolute deviation of 0.010mPa.s was determined and the obtained parameter values are presented in Table 4-37.
Temperature(K) a b c Temperature(K) a b c Table 4-37: Regressed parameters for modified Hartono model for 30 Wt % 3A1P loaded solution
From Figures 4-43 to 4-47 it can be seen that modified Hartono model produced best results compared to modified setchnow type equation by showing low average absolute deviations, but poor fittings were observed while estimating the parameters by modified Hartono model.