In this work, the rotating disk flow problem is studied with suction and blowing on the surface by considering entropy generation. To give differences in applications of boundary conditions, second-order velocity slip and temperature jump conditions on the thermal and flow field are implemented for the first time. Governing equations related to boundary conditions are derived and solved by using a semianalytical numerical technique, the differential transform method, which is capable of carrying a solution set as an integrable and differentiable form. The common property observed in the presented figures is that the effects of both slip factor and jump factor reduce the magnitude of entropy generation. Additionally, using the second-order slip and jump boundary conditions further reduces entropy generation. Minimum entropy generation gives the maximum available work for this type fluidic system. In other words, the efficiency of the system increases with slip and jump. First- and second-order slip and jump boundary conditions were applied separately and shown their sole effects. Differences in applying first and second-order slip and jump boundary conditions are depicted.As a consequence,using the second-order boundary conditions reduces the total entropy generation, which directly affects the efficiency calculation of the thermal system. This is vital for the design calculation of energy consumption.