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平行圆板径向湍流不可压缩边界层的近似解
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国家自然科学基金项目(51475341).


Approximate Solution of Incompressible Boundary Layer of Radial Turbulence in Parallel Circular Plate
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    摘要:

    为研究两平行圆板间不可压缩径向扩散流动的规律,从动量积分方程出发,推导出在采用双对称收缩段供气的圆盘止推气体轴承中,描述平行间隙内湍流不可压缩无因次边界层厚度与无因次半径比之间变化规律的新公式;采用湍流边界层中的幂次速度型假设,分析得到两平行圆板间径向流动的速度分布的近似解。利用数值模拟的方式,计算得到圆盘气体轴承平行间隙内部的速度分布,并与近似解进行比较。结果表明,新公式能够比较准地反映边界层厚度的发展过程,从而能迅速得到平行间隙内部的速度分布特点。

    Abstract:

    In order to study the law of incompressible radial diffusion flow between two parallel circular plates,starting from the momentum integral equation,a new formula for the variation of dimensionless boundary layer thickness and dimensionless radius ratio between parallel gap in a disk thrust gas bearing with double symmetrical contraction section was presented.An approximate solution of the velocity distribution of the radial flow between two parallel plates was obtained by using the power velocity hypothesis in the turbulent boundary layer.The velocity distribution in parallel gap of high pressure disk gas bearing was calculated by numerical simulation,and the simulation result was compared with the approximate solution.The result shows that the new formula can accurately reflect the development process of the boundary layer thickness,so that the velocity distribution characteristics in parallel gap can be quickly obtained.

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郭良斌.平行圆板径向湍流不可压缩边界层的近似解[J].润滑与密封,2018,43(5):1-6.
. Approximate Solution of Incompressible Boundary Layer of Radial Turbulence in Parallel Circular Plate[J]. Lubrication Engineering,2018,43(5):1-6.

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  • 在线发布日期: 2018-06-04
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