将分数阶微积分运算引入到二阶流体的本构关系中,建立了带分数阶导数的广义二阶流体模型·　研究了广义二阶流体涡流速度的衰减和温度扩散,利用分数阶导数的Laplace变换和广义Mittag＿Leffler函数,得到了涡流速度场和温度场的精确解,分析了分数阶指数对涡流速度的衰减和温度扩散的影响·　 The fractional calculus is introduced into the constitutive relation of the second order fluid, and a generalized second order fluid model with fractional order derivative is established. The eddy velocity attenuation and temperature diffusion of the generalized second order fluid are studied. The Laplace Transform and generalized Mittag_Leffler function, the accurate solutions of the eddy velocity and temperature fields are obtained, and the influence of fractional exponent on the eddy velocity attenuation and temperature diffusion is analyzed.