Prediction of hydrodynamic instability in the curved ducts by means of
HPM and ANNs
Abstract
Curved ducts with non-circular cross-sectional geometry have significant
applications in different industries. Hydrodynamic stability in these
curved ducts is an interesting issue in field of fluid mechanics. In the
present study, the linear hydrodynamics stability of fluid flow in the
curved rectangular duct is investigated semi-analytically by Homotopy
perturbation method (HPM). Then, for the first time, the hydrodynamic
stability in these ducts is estimated via using artificial neural
networks (ANNs). To this accomplishment, critical Dean number (Dnc) is
estimated under various aspect ratios and curvature ratios. Based on the
semi-analytical results, the Dnc is increased by curvature ratio
enhancement. In addition, irregular variation on trend of Dnc is found
by an enhancement in the aspect ratio. Moreover, maxima of mean square
error and minima of correlation coefficient for intended ANN are
obtained 0.00144 and 0.98621, respectively. Finally, predictive equation
is suggested to estimate of Dnc using weights and bias of designed ANN.