An Analysis on the Flow Resistance in the Entrance Region of Diffuse Laminar Flow between Two Parallel Spherical Surfaces

Wang Zhi-qing; Liu Zhen-bei

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1987 > 8(12): 1087-1098

Wang Zhi-qing, Liu Zhen-bei. An Analysis on the Flow Resistance in the Entrance Region of Diffuse Laminar Flow between Two Parallel Spherical Surfaces[J]. Applied Mathematics and Mechanics, 1987, 8(12): 1087-1098.

Citation:

PDF( 662 KB)

An Analysis on the Flow Resistance in the Entrance Region of Diffuse Laminar Flow between Two Parallel Spherical Surfaces

Haerbin Institute of Technology, Haerbin

Received Date: 1986-07-14
Publish Date: 1987-12-15

Abstract

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.

FullText(HTML)

References(8)

References

[1]	川崎义人,空气轴受に就て.精密机械,No.5,6,7,和152,153,154(昭和22年,5,6,7),39-44.
[2]	王致清、刘震北,球面间流体流动考虑流动惯性的近似解,应用数学和力学,5,2(1984),263-276
[3]	刘震北、王致清,两平行圆板间径向层流进口段效应分析,应用数学和力学,5(1984),77-89.
[4]	荻原辰弥,半径流ノズルに关する研究,日本机械学会输文集(第2部),28,196(昭37-2)1 38-156
[5]	中山泰熹,空气マィクロメタ内の流体.作动,日本机械学会论文集(第2部),30,21.(昭39-2),202-210.
[6]	王致清,圆管层流进口段效应修正系数的近似计算,哈尔滨工业大学学报,3(1980),26-40
[7]	王致清、刘震北,两平行圆板间径向扩散层流进口段流动阻力的分析与计算,哈尔滨工业大学学报,3(1985),83-91.
[8]	Ishizawa,Shingo,The axisymmetric laminar flow in an arbitrarily shaped narrow gap,Bulletin of JSME,9,3(1966),86-103.