两圆柱间广义二阶流体旋转流动的精确解
Some exact solutions for the rotational flow of a generalized second grade fluid between two circular cylinders
摘要：
本文用Laplace变换和Hankel变换确定了两无限长同轴圆柱间广义二阶流体流动的速度场和相应的切向应力。在时间$t=0$，流体静止，并且在$t=0^+$，圆柱体突然开始以恒定的角加速度围绕它们的公共轴线旋转。所得到的解满足控制微分方程和所有施加的初边值条件。从我们的一般解中恢复了二阶流体和牛顿流体的相似解。文中还用图解法分析了分数系数对流体速度的影响。
英文摘要：
The velocity field and the associated tangential stress corresponding to flow of a generalized second grade fluid between two infinite coaxial circular cylinders, are determined by means of the Laplace and Hankel transforms. At time $t=0$ the fluid is at rest and at $t=0^+$ cylinders suddenly begin to rotate about their common axis with a constant angular acceleration. The solutions that have been obtained satisfy the governing differential equations and all imposed initial and boundary conditions. The similar solutions for a second grade fluid and Newtonian fluid are recovered from our general solutions. The influence of the fractional coefficient on the velocity of the fluid is also analyzed by graphical illustrations.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
