应用数学和力学（英文版）
應用數學和力學（英文版）
응용수학화역학（영문판）
APPLIED MATHEMATICS AND MECHANICS(ENGLISH EDITION)
2004年
10期
1151-1159
,共9页
沈芳%谭文长%赵耀华%T·增冈隆士
瀋芳%譚文長%趙耀華%T·增岡隆士
침방%담문장%조요화%T·증강륭사
generalized second grade fluid%fractional calculus%unsteady flow%temperature field%generalized Mittag-Leffler function
The fractional calculus approach in the constitutive relationship model of viscoelastic fluid was introduced. The velocity and temperature fields of the vortex flow of a generalized second fluid with fractional derivative model were described by fractional partial differential equations. Exact analytical solutions of these differential equations were obtained by using the discrete Laplace transform of the sequential fractional derivatives and generalized Mittag-Leffler function. The influence of fractional coefficient on the decay of vortex velocity and diffusion of temperature was also analyzed.
