On Hydrodynamic Stability of Dean Flow by Using Energy Gradient Methods
作者： H. Nowruzi , H. Ghassemi , S. S. Nourazar
关键词: Physics 、 Function (mathematics) 、 Instability 、 Flow (mathematics) 、 Fluid dynamics 、 Dean number 、 Critical value 、 Mechanics 、 Hydrodynamic stability 、 Curvature
摘要: In the present paper, we investigate hydrodynamic instability of Dean flow under different numbers ranging from 1 to 2500, curvature ratios 0.0001 up 1000 and temperatures 273.15 K 373.15 K. To study fluid instability, analytical velocity profiles intended conditions energy gradient function in method are evaluated. The results show that, as ratio increases becomes more stable. Moreover, no regular significant effects on were achieved by increasing temperatures. We found origin entire field is located inner wall parallel curved walls, especially for larger ratios. also reported critical value onset corresponding number.
oup.com
sci-hub.se 参考文章(37)
Lu Zhiming, Liu Yulu, A calculation method for fully developed flows in curved rectangular tubes Applied Mathematics and Mechanics-english Edition. ,vol. 18, pp. 315- 320 ,(1997) , 10.1007/BF02457545
P. G. Drazin, W. H. Reid, Hydrodynamic Stability: Contents ,(2004) , 10.1017/CBO9780511616938
Md.Anwar Hossain, Md.Sazzad Munir, David Andrew S. Rees, Flow of viscous incompressible fluid with temperature dependent viscosity and thermal conductivity past a permeable wedge with uniform surface heat flux International Journal of Thermal Sciences. ,vol. 39, pp. 635- 644 ,(2000) , 10.1016/S1290-0729(00)00227-1
Hua-Shu Dou, Three Important Theorems for Fluid Dynamics arXiv: Fluid Dynamics. ,(2006)
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
W. H. Reid, D. L. Harris, Some Further Results on the Bénard Problem Physics of Fluids. ,vol. 1, pp. 102- 110 ,(1958) , 10.1063/1.1705871
Wiliam Reginald Dean, Fluid Motion in a Curved Channel Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 121, pp. 402- 420 ,(1928) , 10.1098/RSPA.1928.0205
Hua-Shu Dou, Boo Cheong Khoo, Khoon Seng Yeo, Energy loss distribution in the plane Couette flow and the Taylor–Couette flow between concentric rotating cylinders International Journal of Thermal Sciences. ,vol. 46, pp. 262- 275 ,(2007) , 10.1016/J.IJTHERMALSCI.2006.05.003
T. Ray Mahapatra, S. Dholey, A.S. Gupta, Stability of hydromagnetic Dean flow between two arbitrarily spaced concentric circular cylinders in the presence of a uniform axial magnetic field Physics Letters A. ,vol. 373, pp. 4338- 4345 ,(2009) , 10.1016/J.PHYSLETA.2009.09.058
N. G. Kafoussias, E. W. Williams, The effect of temperature-dependent viscosity on free-forced convective laminar boundary layer flow past a vertical isothermal flat plate Acta Mechanica. ,vol. 110, pp. 123- 137 ,(1995) , 10.1007/BF01215420