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The primary aim of this paper is to present a way by which the gas hold-up can be predicted for gas non-Newtonian liquid flow. The type of conduit used here are the helical coils of different diameter. The helical coils are vertically oriented. The data are collected from our previous experiment and its subsequent publications. A principle component analysis (PCA) based network performance is compared with the Levenberg-Marquardt (LM) algorithm based network. The closeness of the error parameters indicate that both training algorithm can predict both the hydrodynamic parameters with acceptable accuracy. The final analysis and the evaluation of the statistical parameters related to the errors prove the successful nature of the modelling using the PCA based network.