LAMINAR FLUID FLOW IN HELICAL ELLIPTICAL PIPE  

作　　者：Zhang, Jinsuo  Zhang, Benzhao 

机构地区：[1] Zhejiang Univ, Hangzhou, China

出　　处：《Journal of Hydrodynamics》2000年第2期62-71,共10页水动力学研究与进展B辑（英文版）

摘　　要：By means of an orthogonal curvilinear coordinate system and the solution of complete N-S equations, the flow in a helical elliptical duct was analyzed by the perturbation method. The first-order solutions of the stream function, the axial velocity and the velocity of secondary flow were obtained. The effects of torsion, curvature and axial pressure gradient on the secondary flow were discussed. The torsion has first-order effect on the secondary flow in a helical elliptical pipe, and the secondary flow is dominated by torsion when the axial pressure gradient is small. For increasing gradient the secondary flow is eventually dominated by the effect due to curvature. The fact that the torsion has no effect on fluid flow in a helical pipe with a circular cross section was also confirmed. The most important conclusion is that the flow in a helical elliptical pipe to the first order can be obtained as a combination of the flow in a toroidal pipe and the flow in a twisted pipe.By means of an orthogonal curvilinear coordinate system and the solution of complete N-S equations, the flow in a helical elliptical duct was analyzed by the perturbation method. The first-order solutions of the stream function, the axial velocity and the velocity of secondary flow were obtained. The effects of torsion, curvature and axial pressure gradient on the secondary flow were discussed. The torsion has first-order effect on the secondary flow in a helical elliptical pipe, and the secondary flow is dominated by torsion when the axial pressure gradient is small. For increasing gradient the secondary flow is eventually dominated by the effect due to curvature. The fact that the torsion has no effect on fluid flow in a helical pipe with a circular cross section was also confirmed. The most important conclusion is that the flow in a helical elliptical pipe to the first order can be obtained as a combination of the flow in a toroidal pipe and the flow in a twisted pipe.

关 键 词：Flow of fluids Laminar flow Perturbation techniques Torsional stress 

分 类 号：O351[理学—流体力学]