On the basis of the numerical calculations it is shows that flow, heat transfer and diffusive mass transfer characteristics of the single cylindrical particle in the pulsating gas stream depend on the vortex breakaway frequency and on the configuration of the vortex trail behind the particle. The dependence of the Nusselt criterion that characterizes the heat transfer in the dryer conditions on the dimensionless pulsation frequency of the external stream is studied. The hysteresis effect of the aerodynamic coefficients and the heat and mass transfer coefficients that is the consequence of the pulsating stream Reynolds number instantaneous change is found. The amplitude and the pulsating stream form as well as the Reynolds average number influence peculiarities on the intensity of the heat and mass transfer are analyzed.