The fluid flow control valve includes a valve body having a fluid flow lumen through the valve body and a valve member located within the fluid flow lumen. At least one of the valve body and the valve member is elastic, and each is a normal closure in which the valve member and the fluid lumen surface are in sufficient annular contact to block fluid flow through the fluid flow lumen, respectively. Sized for movement between a position and an open position where at least one of the valve body and valve member bends toward a spaced position allowing fluid flow therebetween. The downstream fluid pressure contacts the valve body to strengthen the seal. A fluid absorbing member may also be provided with the valve body. Flow control devices and methods such as medical fluid injection devices may use this valve.流体流制御弁は、弁体を通る流体流内腔を有する弁体と、流体流内腔内に位置する弁部材とを含む。弁体と弁部材との少なくとも1つは弾性であり、それぞれ、流体流内腔を通る流体流を遮断するために弁部材と流体内腔表面とが十分に環状接触の状態にある通常の閉鎖位置と、弁体と弁部材の少なくとも1つがそれらの間の流体流を許容する離間位置に向かって屈曲する開放位置との間の動きのための大きさにされている。下流の流体圧は封止を強化するために弁体に接触する。流体吸収部材もまた弁体とともに備えられ得る。医療用流体注射装置のような流れ制御装置と方法はこの弁を用い得る。