Decay of vortex and diffusion of temperature in a generalized second grade fluid

摘要

The velocity and temperature fields of the vortex flow of a generalized second fluid with fractional derivative model are described by fractional partial differential equations. Exact analytical solutions of these differential equations are 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 is also analyzed.