Prediction of hydrodynamic instability in the curved ducts by means of semi-analytical and ANN approaches

作者: Hashem Nowruzi , Hassan Ghassemi , Mahdi Yousefifard

DOI: 10.1016/J.PADIFF.2020.100004

关键词:

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

参考文章(35)
Siddhaling Urolagin, Prema K.V., N. V. Subba Reddy, Generalization capability of artificial neural network incorporated with pruning method international conference on advanced computing. pp. 171- 178 ,(2011) , 10.1007/978-3-642-29280-4_19
Lutz Prechelt, Early Stopping-But When? neural information processing systems. pp. 55- 69 ,(1998) , 10.1007/978-3-642-35289-8_5
Tilak T. Chandratilleke, Nursubyakto, Numerical prediction of secondary flow and convective heat transfer in externally heated curved rectangular ducts International Journal of Thermal Sciences. ,vol. 42, pp. 187- 198 ,(2003) , 10.1016/S1290-0729(02)00018-2
J. Walowit, S. Tsao, R. C. DiPrima, Stability of Flow Between Arbitrarily Spaced Concentric Cylindrical Surfaces Including the Effect of a Radial Temperature Gradient Journal of Applied Mechanics. ,vol. 31, pp. 585- 593 ,(1964) , 10.1115/1.3629718
M. Zagzoule, P. Cathalifaud, J. Cousteix, J. Mauss, Uniformly valid asymptotic flow analysis in curved channels Physics of Fluids. ,vol. 24, pp. 013601- ,(2012) , 10.1063/1.3673568
Keith H. Winters, A bifurcation study of laminar flow in a curved tube of rectangular cross-section Journal of Fluid Mechanics. ,vol. 180, pp. 343- 369 ,(1987) , 10.1017/S0022112087001848
Kyoji Yamamoto, Shinichiro Yanase, Rongzhi Jiang, Stability of the flow in a helical tube Fluid Dynamics Research. ,vol. 22, pp. 153- 170 ,(1998) , 10.1016/S0169-5983(97)00032-4
Shinichiro Yanase, Yoshito Kaga, Ryuji Daikai, Laminar flows through a curved rectangular duct over a wide range of the aspect ratio Fluid Dynamics Research. ,vol. 31, pp. 151- 183 ,(2002) , 10.1016/S0169-5983(02)00103-X
R.K. Deka, A. Paul, Stability of Taylor-Couette and Dean flow: A semi-analytical study Applied Mathematical Modelling. ,vol. 37, pp. 1627- 1637 ,(2013) , 10.1016/J.APM.2012.04.025