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1. Theoretic Solutions for Vortex Street behind a Cylinder | |||
XIAO Jianhua | |||
Mechanics 03 December 2013 | |||
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Abstract:Using the inertial velocity field, in commoving dragging coordinator formulation, the instant deformation (deformation in unit time duration) of fluid is formulated. By linear momentum conservation and angular momentum conservation, the generally motion equations are established. They show that: along the streamline, if the instant local rotation angular is invariants, the flow velocity tends decrease. So, the curvature of streamline is increased gradually and finally ended in a center where flow velocity is zero. Through introducing a parameter function defined roughly along streamline, taking the velocity are known quantities, the theoretic solutions for the fluid instant deformation (flow behind circular cylinder) are obtained. Therefore, a set of form solution for digital calculations are established. These theoretic results are valuable for understanding the vortex flow. As a natural expectation, it is valuable for exposing the mechanism of turbulence phenomenon. | |||
TO cite this article:XIAO Jianhua. Theoretic Solutions for Vortex Street behind a Cylinder[OL].[ 3 December 2013] http://en.paper.edu.cn/en_releasepaper/content/4572902 |
2. Large scale dynamics in two-dimensional turbulence | |||
Ran Zheng | |||
Mechanics 26 October 2009 | |||
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Abstract:Two-dimensional and three-dimensional turbulence have different properties. The entire issue of the large scale dynamics is still a matter of some controversy. In this paper, we developed a simple model for large scale dynamics of free decay two-dimensional turbulence based on the statistical solution of Navier-Stokes equation. | |||
TO cite this article:Ran Zheng . Large scale dynamics in two-dimensional turbulence [OL].[26 October 2009] http://en.paper.edu.cn/en_releasepaper/content/36118 |
3. Critical Reynolds Number for Plane Poiseuille Flow | |||
Xiao Jianhua | |||
Mechanics 04 September 2007 | |||
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Abstract:Taking the classical steady laminar solution as the first approximation, the critical Reynolds number problem for plane Poiseuille flow is studied by perturbation method. The solution of Navier-Stokes equation is obtained. Then, the critical Reynolds number is expressed by the steady laminar solution. The result shows that, for plane Poiseuille flow, the critical Reynolds number is a function of position. At the wall position, the critical Reynolds number is roughly 1; near the wall position, the critical Reynolds number is very different; for the centre zone of transportation, the critical Reynolds number is a limit value. However, this limit value is very sensitive about initial condition, which is a fact well known for experiment researchers. Except at wall position, the critical Reynolds number is transportation distance dependent. For very long transportation distance, the critical Reynolds number tends to zero. | |||
TO cite this article:Xiao Jianhua. Critical Reynolds Number for Plane Poiseuille Flow[OL].[ 4 September 2007] http://en.paper.edu.cn/en_releasepaper/content/14845 |
4. Turbulent Flow Caused By the Wall Friction in Circular Pipes | |||
Xiao Jianhua | |||
Mechanics 04 September 2007 | |||
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Abstract:For the fluid flow in pipes, when the friction of pipe wall is big enough the velocity near the wall will significantly smaller than the flow velocity in the pipe center. This will cause the material volume elements of fluid rotate along the tangent direction of circular pipe wall. The intrinsic rotation angle of such a local rotation is a function of radium from the pipe center where the viscosity parameter of fluid plays an essential role. This local intrinsic rotation not only produces an additional pressure field, but also produces turbulence when the transportation distance is big enough. This result is gained based on the Chen’s S+R decomposition of deformation gradient theorem. For the fluid flow problem, the related motion equations established on Chen’s rational mechanics theory is used in this paper. The theoretic equations are compared with traditional fluid motion equations. Traditional fluid motion equations (Navier-Stokes equation) are correct for non-symmetric stress fields, but they do not supply reasonable equations for the asymmetric stress fields. This is the essential disadvantage for the tradition fluid dynamics theory to predict the local rotation and the possibility of turbulent flow in the simple case of pipe flow problem. This research shows that the new theoretic formulation may be valuable to explain complex flow phenomena. | |||
TO cite this article:Xiao Jianhua. Turbulent Flow Caused By the Wall Friction in Circular Pipes[OL].[ 4 September 2007] http://en.paper.edu.cn/en_releasepaper/content/14840 |
5. Exact statistical theory of isotropic turbulence | |||
Ran Zheng | |||
Mechanics 12 January 2006 | |||
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Abstract:Some physically significant consequences of recent advances in the theory of self-preserved homogenous statistical solutions of the Navier-Stokes equations are presented. | |||
TO cite this article:Ran Zheng. Exact statistical theory of isotropic turbulence[OL].[12 January 2006] http://en.paper.edu.cn/en_releasepaper/content/4988 |
6. Exact Solutions of Karman-Howarth Equations of Isotropic Turbulence | |||
Ran Zheng | |||
Mechanics 31 October 2005 | |||
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Abstract:Based on von Karman’s self-preservation hypothesis, new four different exact solutions of Karman-Howarth equations are obtained for three-dimensional and two-dimensional isotropic turbulence, respectively. | |||
TO cite this article:Ran Zheng. Exact Solutions of Karman-Howarth Equations of Isotropic Turbulence[OL].[31 October 2005] http://en.paper.edu.cn/en_releasepaper/content/3410 |
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