Uncertainty Quantification for the Flow of Nanofluids in
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 complement with their interactions effects on output
variables of nanofluids in both converging and diverging channels has
been studied. The mathematical model is solved numerically by using
Matlab built-in solver bvp4c. Global sensitivity analysis (Sobol’s
method) is used to quantify the effects of input parameters and their
interactions on model outputs. The results showed that the channel
opening ( ) is the most influencial parameter for the velocity profile,
while Eckert number (Ec) becomes the most influencial parameter for
temperature distribution in both diverging and converging channels.
Also, the least sensitive parameters, as well as interaction effects of
involved parameters are identified on velocity and temperature profiles
in both converging and diverging channels.