Continuity Equation AL V A. V For steady flow, conservation of mass out For incompressible fluid, p constant ∑Qin=∑Q out A1Ⅴ1+A2V2=A3Ⅴ3+A4V4 V is uniform and perpendicular to a
Continuity Equation For steady flow, conservation of mass : For incompressible fluid, constant : Qin = Qout A1V1 + A2V2 = A3V3 + A4V4 V is uniform and perpendicular to A A1 , V1 A2 , V2 A3 , V3 A4 , V4 mout =min
Bernoulli equation p+Op)os o Particle thickness= 5 r os dy= o (p-op )on dy (p-op )os oy Normal to streamline Along streamline Free body diagram of a fluid particle along a streamline For steady flow(av/at=0), apply newton's 2nd law of Motion to free body ΣδF=8Ma、=p8vv(av/0s) The following equation of motion can be derived pg sin 0-ap/as=pv av /as
Bernoulli Equation Free body diagram of a fluid particle along a streamline For steady flow (v/ t =0), apply Newton’s 2nd Law of Motion to free body : Fs = M as = V v (v / s) The following equation of motion can be derived : - g sin - p / s = v v / s