Valveless piezoelectric pumps have broad applications in the field of biomedicine. However，the existed valveless piezoelectric pumps have many fatal defects such as transporting failure and entanglemental loss，during the transportation of the living cells or long-chain functional polymers， which seriously restricts its application progress in the biomedical field. Therefore， this work proposed a streamlined flow tube valveless piezoelectric pump to alleviate or solve the above problems. The output performance of four groups of streamlined flow tube valveless piezoelectric pumps with different angles is studied. Firstly， the structure and working principle of the pump is explained， and the flow rate equation was established. Then， the internal flow-field dynamic mesh simulation of the four groups of valveless pumps （flow tube angles of 10°， 15°， 20° and 25°） is performed using a Fluent software. The results show that the flowing stability increses by decresing the tube's angle but the optimum flow rate inceses. Both the simulation rsults of the streamlined flow tube and the cone-shaped flow tube are cpmpared under the same differantial pressure， showing that there is an improvement in flowing stability by using the streamlined flow tube. Finally， the experiments to measure the flow rates of four groups of lead zirconate titanate piezoelectric ceramics pumps are carried out， whose results are compared with the simulation results. The experimental results of the optimal flow-rate trend and pumping direction are consistent with simulation ones. This work can futher promote the applications of the streamlined flow tube valveless piezoelectric pump in the field of micro-active material transportation and medical care.