【摘要】 研究了分数阶广义二阶流体的管内轴向流动问题 .在欧氏测度下 ,应用R L分数阶微积分算子理论给出了上述问题的精确解 .同时也指出了已有文献结果的错误和不足之处 .结果表明 ,流体粘弹性特征越明显 ,其速度剖面及应力分布对分数阶导数的阶数依赖性越强更多还原

【Abstract】 The axial flow in a pipe of the fractional generalized second order fluid is studied. Under the Euclidean measure, the analytical solutions to the above problem are obtained by employing the Riemann Liouville fractional calculus theory. And some mistakes or insufficiency in the past papers are pointed out. It is proved that the more obvious the viscoelastic properties of fluid is, the more sensitive the dependence of velocity and stress on fractional derivative order is.更多还原