Gaussian process regression to predict dryout incipience quality of saturated flow boiling in mini/micro-channels

Abstract

In the present study, a Gaussian process regression (GPR) model is developed to predict the dryout incipience quality for flow boiling in mini / micro - channels based on a consolidated database obtained from Purdue University Boiling and Two - Phase Flow Laboratory (PU - BTPFL) consisting of 997 points from 26 sources. The database includes 13 different working fluids over a wide range of operating conditions: hydraulic diameter (0.51 - 6.0 mm), mass velocities (29 - 2303 kg/ m2 s), liquid - only Reynolds number (125 - 53,770), boiling number (0.31 - 44.3 x 10-4), and reduced pressure (0.005 - 0.78). The inputs to the model were liquid - only Weber number (Wefo), reduced pressure (PR), boiling number (Bo), heated to frictional perimeter ratio(PH/PF), capillary number (Ca) and density ratio (rho g/rho f), and the output was dryout incipience quality. The database was randomly divided into training data to learn GPR kernel (covariance) parameters using maximum likelihood estimation, and test data to evaluate the prediction accuracy of the outputs based on mean absolute error (MAE). Six - different types of covariance functions were tested, and GPR model with automatic relevance detection (ARD) rational quadratic covariance function showed the best overall performance. A performance comparison of approved GPR model was made with an existing highly reliable universal correlation to predict dryout incipience quality for mini / micro - channels. Results show that the developed GPR model exhibits superior generalization ability with an overall MAE of 6.03 %, and a significant reduction of 51.76 % in MAE compared with the universal correlation. Overall, the GPR model was found to be a data efficient machine learning technique for predicting dryout incipience quality for flow boiling in mini / micro - channels based on a consolidated database.