潘文潇, 谭文长. 广义Maxwell黏弹性流体在两平板间的非定常流动[J]. 力学与实践, 2003, 25(1). DOI: 10.6052/1000-0992-2001-158
引用本文: 潘文潇, 谭文长. 广义Maxwell黏弹性流体在两平板间的非定常流动[J]. 力学与实践, 2003, 25(1). DOI: 10.6052/1000-0992-2001-158
AN UNSTEADY FLOW OF A VISCOELASTIC FLUID WITH THE FRACTIONAL MAXWELL MODEL BETWEEN TWO PARALLEL PLATES[J]. MECHANICS IN ENGINEERING, 2003, 25(1). DOI: 10.6052/1000-0992-2001-158
Citation: AN UNSTEADY FLOW OF A VISCOELASTIC FLUID WITH THE FRACTIONAL MAXWELL MODEL BETWEEN TWO PARALLEL PLATES[J]. MECHANICS IN ENGINEERING, 2003, 25(1). DOI: 10.6052/1000-0992-2001-158

广义Maxwell黏弹性流体在两平板间的非定常流动

AN UNSTEADY FLOW OF A VISCOELASTIC FLUID WITH THE FRACTIONAL MAXWELL MODEL BETWEEN TWO PARALLEL PLATES

  • 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.

     

    Abstract: The fractional calculus is used in the constitutiveequation of Maxwell viscoelastic fluid. An unsteady flowof viscoelastic fluid between two parallel plates is studied. For afractional derivative model of the generalized Maxwell viscoelasticfluid, the special equation of motion with fractional-order timederivatives is obtained. Additionally, the exact solution of the flowis obtained by using the theory of Laplace transform for fractionalcalculus.

     

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