Perturbation Solution of Non-Newtonian Fluid Axial Laminar Flow through Eccentric Annuli

Yue Xiang-an; Kong Xiang-yan; Chen Jia-lang

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Article Navigation > Applied Mathematics and Mechanics > 1992 > 13(3): 245-254

Yue Xiang-an, Kong Xiang-yan, Chen Jia-lang. Perturbation Solution of Non-Newtonian Fluid Axial Laminar Flow through Eccentric Annuli[J]. Applied Mathematics and Mechanics, 1992, 13(3): 245-254.

Citation:

Yue Xiang-an, Kong Xiang-yan, Chen Jia-lang. Perturbation Solution of Non-Newtonian Fluid Axial Laminar Flow through Eccentric Annuli[J]. Applied Mathematics and Mechanics, 1992, 13(3): 245-254.

Citation:

Yue Xiang-an, Kong Xiang-yan, Chen Jia-lang. Perturbation Solution of Non-Newtonian Fluid Axial Laminar Flow through Eccentric Annuli[J]. Applied Mathematics and Mechanics, 1992, 13(3): 245-254.

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Perturbation Solution of Non-Newtonian Fluid Axial Laminar Flow through Eccentric Annuli

1.
University of Science and Technology of China, Hefei;
2.
Daqing Petroleum Institute Heilongjiang

Received Date: 1991-04-01
Publish Date: 1992-03-15

Abstract

Abstract

Using the perturbation method, the axial laminar flow of Non-Newtonian fluid through an eccentric annulus is studied in the present paper. The relative eccentricity ε is taken as a perturbation parameter, and the first order perturbation solutions of the problem, such as velocity field, limit velocity and pressure gradient, are all obtained.
- non-Newtonian fluid,
- eccentric annulus,
- perturbation method

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References(5)

References

[1]	Redberger, P.J. and M.E. Charles, Axial laminar flow in a circular pipe containing a fixed eccentric core, Canada J. Chem. Eng.,(1962), 149.
[2]	Lyoho, A.W., An accurate slot-flow model for non-Newtonian fluid flow through eccentric annuli, SPEJ.,(1981), 565.
[3]	Yue Xiang-an, Chen Jia-lang and Huang Kuang-dao, Velocity profiles for axial laminar flow of Power-law fluids through eccentric annuli, J. Hydrodynamics, 4 (1989), 79.
[4]	岳湘安、郝江平,非牛顿流体在环形空间中轴向层流的精确解,水动力学研究与进展,1(2)(1986),51
[5]	Van Dyke, M., Perturbation Methods in Fluid Mechanics, The Parabolic Press (1955).