二阶非牛顿流体环管流动解析解
Analytical Solution of Flow of Second-Order Non-Newtonian Fluid through Annular Pipes
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摘要: 本文采用积分变换的方法,找到了一类非牛顿流体在环形管道中不定常流动的解析解,并进行了数值计算,详尽分析了非牛顿性系数和其他各参数对二阶流体不定常流动的影响.指出当二阶流体非牛顿系数相同时,环管流与一般管流相比达到稳定的特征时间较短,并且相应的速度分布、平均速度分布的数值均较小,在外半径相同时,环管流内壁的剪应力较之一般管流,其大小随内半径的大小而变,环管流的外壁剪应力总相应地小于内壁剪应力.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.
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Key words:
- integral transformation /
- shape factor /
- non-Newtonian coefficient /
- second-order fluids /
- annular pipes /
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[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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