Developing Flows and Developed Flows

Cen Ren-jing; Liu Bao-sen

Volume 9 Issue 11

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Article Navigation > Applied Mathematics and Mechanics > 1988 > 9(11): 981-992

Cen Ren-jing, Liu Bao-sen. Developing Flows and Developed Flows[J]. Applied Mathematics and Mechanics, 1988, 9(11): 981-992.

Citation:

Cen Ren-jing, Liu Bao-sen. Developing Flows and Developed Flows[J]. Applied Mathematics and Mechanics, 1988, 9(11): 981-992.

Citation:

Cen Ren-jing, Liu Bao-sen. Developing Flows and Developed Flows[J]. Applied Mathematics and Mechanics, 1988, 9(11): 981-992.

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Developing Flows and Developed Flows

South China Institute of Technology, Guangzhou

Received Date: 1987-05-30
Publish Date: 1988-11-15

Abstract

Abstract

This paper puts emphasis on the problem of the developing flows in the circular tube under oscillatory conditions.According to the Navier-Stokes' equation and using the method of Bessel function of imaginary argument, a system of formulas is obtained.Comparing the formulas obtained in this paper with A tabek's formulas, it may be seen that the former is simpler and more convenient.When both the formulas obtained in this paper and A tabek's formulas are reduced to the representation of developed flows, both of them are consistent.Numerical calculation results show that the computed results obtained in this paper are rather consistent with both A tabek's computed results and the experimental results.

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References(5)

References

[1]	Тарг С.м.,Осиоэыс Забача Теории Ламинарных Течении,Госуцаретвенное издателъство технике-теорстической литсратуы(1981)
[2]	Atabek,H.B.,and C.C.Chang,Oscillatory flow near the entry of a circular tube,Z.Angew.Math.Phys.,12(1961),185-201.
[3]	McDonald,D.A.,Blood Flow in Arteries,Edward Arnold Ltd(1974).
[4]	冯元祯,《生物力学》,科字出版社(1983).
[5]	Atabek,H.B.,C.C.Chang and L.M.Fingerson,Measurement of laminar oscillatory flow in the inlet length of a circular tube,Phys.Med.Biol.,9,2(1964),219-227．

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