广义二阶流体平板不定常流动的解析解

Exact solutions for the unsteady flow of generalized second grade fluid over a flat plate

研究了分数阶广义二阶流体在无穷平板上方的不定常流动.将分数阶微积分的方法引入黏弹性流体本构关系模型.借助Fourier正余弦变换的方法及分数阶微积分的Laplace变换理论,研究了三种不同条件下的平板流,得到了问题的精确解析解.

Some unsteady flows of generalized second grade fltlid over a flat plate are studied. The fractional calculus approach is taken into account in the constitutive relationship of viscoelastic fluid model. Based on the flow conditions described, three flow situations are solved and the exact analytic solutions are given by using the Fourier sine and cosine transforms and the theory of Laplace transform for fractional calculus.