两平行球面间扩散层流进口段流动阻力的分析*
An Analysis on the Flow Resistance in the Entrance Region of Diffuse Laminar Flow between Two Parallel Spherical Surfaces
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摘要: 本文首先将В.В.Голубев方法推广到两平行球面间的扩散层流流动,由球坐标下边界层运动方程式,导出了平行球面间进口段层流边界层动量与能量积分关系式.再对动量积分关系式采用Picard逐次逼近法,求得进口段通道长随边界层厚度而改变的近似表达式.然后对进口段效应诸系数进行分析与计算.Abstract: In this paper, V. V. Golubef method is first extended to the diffuse laminar flow between two parallel spherical surfaces. With the boundary layer motion equation in spherical coordinates, we derive the momentum integral equation together with the energy integral equation for the laminar boundary layer of the entrance region between two parallel spherical surfaces. And then by applying Picards gradually approaching method for the momentum integral equation, we get the approximate expression which the entrance region length varies with the thickness of boundary layer. In the end every coefficient of entrace region effect is analyzed and calculated.
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