The New Solution for the Axially Symmetrical Laminar Boundary Layer Equations between Two Parallelf Spherical Surfaces

Ding Zhong-man; Wang Zhi-qing

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Article Navigation > Applied Mathematics and Mechanics > 1992 > 13(12): 1075-1080

Ding Zhong-man, Wang Zhi-qing. The New Solution for the Axially Symmetrical Laminar Boundary Layer Equations between Two Parallelf Spherical Surfaces[J]. Applied Mathematics and Mechanics, 1992, 13(12): 1075-1080.

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The New Solution for the Axially Symmetrical Laminar Boundary Layer Equations between Two Parallelf Spherical Surfaces

Harbin Institute of Technology, Harbin

Received Date: 1991-11-14
Publish Date: 1992-12-15

Abstract

Abstract

The transformations,which are similar to Mangler's transformations,are given in this paper.They change the entrance region flow of axially symmetrical laminar boundary layer between two parallel spherical surfaces into the flow of two-dimensional boundary layer,and simplify the problems.The simplified equations can be solved by the two-dimensional boundary layer theory and numerical methods.Therefore,a new way is opened up to solve the diffusive laminar flow in the entrance region between two parallel spherical surfaces.
- boundary layer,
- laminar flow,
- parallel spherical surfaces,
- axially symmetry

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References(6)

References

[1]	王致清、尚尔兵,两种轴对称边界层方程的新解法,应用数学和力学,9(1)(1988),57-62.
[2]	Shang,E.B.and Z.Q.Wang,The new solutions for another two kinds of axially symmetrical laminar boundary layer equations,The 4th Asian Congress of Fluid Mechanics,Hong Kong(1989),F.164.
[3]	Сгепанов Е.И.,Об интегрировании уравнение ламинарого пограничного слоя длядвижения сосевой симметрией Прцклабная МамемамЦкац МаxанЦка.,11(1947),203-204.
[4]	Mangler,V.W.,Zusammenhang zwischen ebenen und rotationssymmetrischen Grenz schichten in Kompressiblen Flüssigkciten,ZAMM,28(4)(1948),97-103.
[5]	王致清、刘震北,两平行球面间扩散层流进口段流动阻力的分析,应用数学和力学,8(12)(1987),1087-1098.
[6]	Schlichting,H.,Boundary-layer Theory,Mc Graw-Hill Book Company(1979).