Liquid flow has positive implication for the thermal management in liquid lasers. The flowing state of liquid can considerably influence the laser beam quality. By the aid of the commercial software Fluent,the transverse flowing states of liquid media in gain area are simulated. Based on the wave-front curving sensing technology and the Green′s functions wave-front reconstruction arithmetic,the phase distribution of the probe laser (He-Ne laser) is measured when the flow rates are 0.48,1.51 and 5.39 L/min. The Strehl ratios are 0.9964,0.9960 and 0.9936,respectively. The results show that when the flow rate is stable,the laser beam quality is almost not affected by the liquid flowing state. Under the longitude uniform pumping circumstances,the laser beam quality in viscous flowing state is slightly reduced compared to that in uniform flowing state. When the pumping power density is 46.9 W/cm2,the Strehl ratios are 0.9484 and 0.9995,in which the flow rates are 0.48 and 5.39 L/min. The Strehl ratio decrease to 0.1051 and 0.9978,when the pumping power density increases to 100 W/cm2 and the flow rate keeps the same. The wave-front aberration arising out of the heterogeneity of the flow rate can be decreased by promoting the flow rate of the liquid media.