【摘要】 将分数阶微积分运算引入Maxwell黏弹性流体的本构方程,研究了黏弹性流体在两平板间的非定常流动.对于广义Maxwell黏弹性流体的分数阶导数模型,导出了对时间具有分数阶导数的特殊运动方程,利用分数阶微积分的Laplace变换理论,得到了流动的解析解.更多还原

【Abstract】 The fractional calculus is used in the constitutive equation of Maxwell viscoelastic fluid. An unsteady flow of viscoelastic fluid between two parallel plates is studied. For a fractional derivative model of the generalized Maxwell viscoelastic fluid, the special equation of motion with fractional-order time derivatives is obtained. Additionally, the exact solution of the flow is obtained by using the theory of Laplace transform for fractional calculus.更多还原