In this experimental study, the instabilities created at the contact surface of two Newtonian immiscible fluids i.e., water and base oil during transient radial injection-suction inside Hele-Shaw cell were investigated. Base oil with viscosities of 150, 920 and 1506 cSt was used for injection and suction purposes. The maximum injection and suction fluid flow rates that were pseudo-sinusoidal and percussive time-dependent were considered to be 10000, 20000 and 30000 µl/min. The amount of fluid injected or sucked in all three methods was considered equal. The results were compared with the results of constant velocity injection. The effects of injection and suction frequency on contact surface instability were also studied. Injection and suction were performed for at least six complete cycles. One of the most important objectives of this study was to investigate the ability to eliminate instabilities and return the contact surface of two fluids to the initial circular state at the end of each cycle. It was observed in the methods of percussive and constant-velocity that it is not possible to return to the initial circle after the first step. It was also observed that the growth rate of instabilities in different cycles of the pseudo-sinusoidal method is slower than the percussive and constant-velocity methods. The lower the viscosity and flow rate of the injected or suction fluid, the less instability occurs. The results showed that with increasing the flow rate, the number of oil packets in the injection-suction of constant-velocity method has increased, but in the reverse percussive method, this is the case. The results showed that in the injection-suction by pseudo-sinusoidal method, which do not cause instabilities such as water droplets, fingers and oil packets, but in two methods of injection-suction at a constant-velocity and percussive method, such instabilities are observed. It can be concluded that considering the conditions of the experiments performed, the pseudo-sinusoidal method is the most suitable method with the ability to return to the initial steady state among the three methods used. Of course, it should be noted that the greater the number of repetitions of cycles, the more instabilities created and the more difficult it is to return to the initial state.