分数阶广义二阶流体管内轴向流动的精确解  

Exact Solutions of Fractional Second Order Fluid Flow in a Pipe

作　　者：金辉[1] 徐明瑜[1] 

机构地区：[1]山东大学数学与系统科学学院,济南250100

出　　处：《山东大学学报（理学版）》2003年第1期23-27,共5页Journal of Shandong University(Natural Science)

基　　金：教育部博士点专项科研基金资助项目;国家自然科学基金 (10 2 72 0 67)

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 。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.

关 键 词：广义二阶流体 轴向流动 分数阶微积分 广义M-L函数 

分 类 号：TB112[理学—数学]