There　exists　serious　problems　in　the　no-moving-part　valves　(NMPV)　used　by　the　piezoelectric　pump　presently:　being　complex　in　structure　or　bringing　on　huge　vortex　whose　pressure　and　velocity　vary　dramatically　in　the　tubes,　which　will　go　against　the　aim　of　transporting　living　cells　and　the　long-chain-macromolecule　cells　in　the　areas　of　medical　treatment,　sanitation　and　health　care.　Aiming　at　these　problems,　a　new　type　of　the　piezoelectric　pump-valveless　piezoelectric　pump　with　Y-shape　tubes　is　developed,　and　simulative　and　experimental　researches　are　applied　on　the　pump.　Combined　with　the　needs　of　transporting　blood　and　fluid　in　the　area　of　medical　treatment,　the　advantages　and　disadvantages　of　several　typical　no-moving-part　valves　are　analyzed,　and　the　properties　of　the　piezoelectric　pump　with　Y-shape　tubes　and　its　tubes　are　introduced.　Theoretical　analysis　is　applied　on　the　pump　and　the　theoretical　formula　of　the　pump　flow　rate　is　established.　Based　on　the　finite　element　method　(FEM),　the　numerical　simulation　of　the　fluid　flow　situation　inside　the　Y-shape　tubes　is　carried　out,　the　law　of　pressure　change　of　the　Y-shape　tubes　along　the　positive　and　reverse　directions　are　obtained,　and　the　conclusion　that　the　vortex　occurs　in　the　Y-shape　tube　is　much　more　feeble　than　that　in　the　taper　tubes,　is　obtained,　the　flow　resistances　of　the　Y-shape　tubes　are　also　calculated.　A　comparison　is　made　between　the　theoretical　and　experimental　flow　rate　for　the　piezoelectric　valveless　pump　with　Y-shape　tubes,　the　results　indicate　that　the　minimum　and　maximum　relative　errors　between　the　two　results　turn　out　to　be　7%　and　13%　respectively.　Therefore,　the　validity　and　correctness　of　the　theoretical　analysis　and　the　numerical　simulation　are　proved.