An Approximate Solution Considered Flow Inertia between Spherical Surfaces

Wang Zhi-qing; Liu Zhen-bei

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Article Navigation > Applied Mathematics and Mechanics > 1984 > 5(2): 263-276

Wang Zhi-qing, Liu Zhen-bei. An Approximate Solution Considered Flow Inertia between Spherical Surfaces[J]. Applied Mathematics and Mechanics, 1984, 5(2): 263-276.

Citation:

Wang Zhi-qing, Liu Zhen-bei. An Approximate Solution Considered Flow Inertia between Spherical Surfaces[J]. Applied Mathematics and Mechanics, 1984, 5(2): 263-276.

Citation:

Wang Zhi-qing, Liu Zhen-bei. An Approximate Solution Considered Flow Inertia between Spherical Surfaces[J]. Applied Mathematics and Mechanics, 1984, 5(2): 263-276.

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An Approximate Solution Considered Flow Inertia between Spherical Surfaces

Harbin Institutute of Technology, Harbin

Received Date: 1983-03-23
Publish Date: 1984-04-15

Abstract

Abstract

In this paper, the analytical expressions of the pressure distribution, velocity distribution and volume flue of the flow between spherical surfaces are found by using the method of iterative approximate solution when the inertia terms in Navier-Stokes equation of the spherical coordinates are taken into consideration, Furthermore, using these egpressions, we may directly obtain the corresponding analytical expressions of the radial laminar flow between parallel disks, which are fully unified with corresponding results presented from references [3.4].

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References(6)

References

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[2]	Goldstein, S,Modern Developments in Fluid Dynamics, Oxford University Press,Amen House, London, Vol, I,(1938),105.
[3]	Savage, S, D,Laminar radial flow between parallel plates, Trans, of the ASME,1. Appl, Mech,86, Ser, c-4 (Dec,1964). 594-596.
[4]	郭金基,平行平板间径向气流的Navier-Stokes方程的近似解,力学学报,3(1980). 306-310.
[5]	平克斯,O.,B,斯德因李希,(英),《流体动力学润滑理论》,机械工业出版社(1980).
[6]	Moller, P, S,Radial Flow without Swirl between Parallel Disks, M, Sc, Thesis,Department of Mechanical Engineering, Megill University, Montreal, Canada (1961).