Analytical Solution of Flow of Second-Order Non-Newtonian Fluid through Annular Pipes

Zhu Wen-hui; Liu Ci-qun

Volume 14 Issue 3

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Article Navigation > Applied Mathematics and Mechanics > 1993 > 14(3): 195-201

Zhu Wen-hui, Liu Ci-qun. Analytical Solution of Flow of Second-Order Non-Newtonian Fluid through Annular Pipes[J]. Applied Mathematics and Mechanics, 1993, 14(3): 195-201.

Citation:

Zhu Wen-hui, Liu Ci-qun. Analytical Solution of Flow of Second-Order Non-Newtonian Fluid through Annular Pipes[J]. Applied Mathematics and Mechanics, 1993, 14(3): 195-201.

Citation:

Zhu Wen-hui, Liu Ci-qun. Analytical Solution of Flow of Second-Order Non-Newtonian Fluid through Annular Pipes[J]. Applied Mathematics and Mechanics, 1993, 14(3): 195-201.

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Analytical Solution of Flow of Second-Order Non-Newtonian Fluid through Annular Pipes

Institute of Porous Flow and Fluid Mechanics, Langfang

Received Date: 1990-05-04
Publish Date: 1993-03-15

Abstract

Abstract

This paper presents an analytical solution to the unsteady flow of one kind of second-order non-Newtonian fluid by the use of integral transformation,simulates the results,analyses the effect of non-Newtonian coefficient He and other parameters on the flow and shows that when He keeps the same the annular flow has a shorter characteristic time than the general pipe flow and the correspondent velocity and average velocity have a smaller value.When r₁/r₂(η)remains unchanged,the shear stress of inner wall of annular flow changes with the inner radius r₁ compared with the general pipe flow and is always smaller than that of the outer wall.
- integral transformation,
- shape factor,
- non-Newtonian coefficient,
- second-order fluids,
- annular pipes,

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References(5)

References

[1]	伍岳庆,非牛顿流体管内非定常流动研究,中科院成都分院硕士论文(1988).
[2]	韩飞宇,非牛顿流体非定常流动研究,中科院成都分院硕士论文(1989).
[3]	刘慈群等,非牛顿流体管内不定常流的解析解,应用数学和力学,10(11)(1989),939-946.
[4]	陈文芳著,《非牛顿流体力学》,科学出版社(1984).
[5]	M,N.奥齐克西,《热传导》,高等教育出版社(1984).

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