Abstarct: Heat transfer from solid spherical bodies in a fluid is used in various industries such as power plants, refineries and manufactured factories. It can be said that as much as the science of heat transfer is very old, the analysis of heat transfer from a spherical body has a long history in preceding researches. In the present work, the analytical solution of heat transfer from a sphere is investigated, in which a fluid also moves with a creep current on the sphere. The surface temperature of the sphere is time-dependent and behaves transiently and is different from the temperature of the fluid around the sphere and the temperature of the fluid around it is quasi-steady. The aim of the present study is to consider more realistic conditions on the interface of sphere and fluid, so on the interface of sphere and fluid is considered a source of surface heat generation and also a constant heat flux from a distance to the interface of sphere that radiates solid and fluid. To solve the governing equations, the perturbation method is used, the perturbation parameter is the Peclet number. After solving the answers in different modes in two time zones of the problem are obtained, those two time zones are: all problem times and large problem times. The results show that: in the first case, when there is both radiation and heat source, with increasing radiation and heat source, the local Nusselt number, the average temperature distribution and the temperature distribution decrease the most. In the second case, when there is only one heat source, with increasing the heat source, the local Nusselt number, the average temperature distribution and the temperature distribution decrease less than in the first case. In the third case, when there is only radiation, with increasing radiation, the local Nusselt number, the average temperature distribution and the temperature distribution decrease less than in the second case. In the fourth case, when there is no radiation and heat source, the local Nusselt number, the average temperature distribution and the temperature distribution have the least decrease compared to the third case. Also, by increasing the coefficient of ratio of solid to fluid thermal conductivity, the local Nusselt number, the average temperature distribution and the temperature distribution increase. The main reason for the decrease in the local Nusselt number, the average temperature distribution and the temperature distribution is due to the increase in conduction heat transfer in sphere, because the heat transfer is faster. The main reason for the increase in conductive heat transfer is also the increase in the coefficient of ratio of solid to fluid thermal conductivity, radiation and heat source.