Uncertainty Quantification for the Flow of Nanofluids in Converging/Diverging Channels

Abstract

In mathematical models, parameters are one of the most important input factors that affect the model outputs. In this work, the effects of parameters in complementing their interaction effects on nanofluids' output variables in converging and diverging channels have been studied. The mathematical model is solved numerically by using Matlab's built-in solver bvp4c. Global sensitivity analysis (Sobol's method) quantifies the effects of input parameters and their interactions on model outputs. The results showed that the channel opening (α) is the most influential model parameter for the velocity profile. Simultaneously, Eckert number (Ec) becomes the most influential parameter for temperature distribution in diverging and converging channels. The least sensitive parameters and interaction effects of involved parameters are identified on velocity and temperature profiles in converging and diverging channels.