Question

Water flow steady through a pipe with Dia= 0.75 m at point 1 and Dia= 1.5 m at point 2 as shown below. Find the velocity and the volume flow rate at the exit point.( xwater = 9800 N/m3) D = 1.5 m D = 0.75 m (1) BS water in (2) D = 2 m im o 7m. SG=0.88 T 0.3 in 0.5 m 0.2 in 0.5m SG=13.5S SG:13.55

Answer 1

let, pressure at Point 1 = P, pressure at point a=Pz. Velocity at Point 1- VI Velocity at Point 2=82 Height from Datum of 1=2, = 1.7m Height from Datum of 2zZz = 1.5m from the manometer :- Pi +0.7 xYwaren] + (0.5x13.55X Ywa] + [0.2X0-88 x Ywat] +(-0.2x13-55 x 8 water) - Colxłwater) = Р. Pi + 38661.21 = Pe P2 - P, = 38.661 kPa At. 1 $ 2 applying Bernoulle's Eqn at P. Pa + V₂ Sg + + Z, = ag + Zz هم بركان در كما Sg 2 + 1.7 - P2-Pi + V ૨ + 1.5 Sg ૨ જ vi?-v? 3.7409m २१ Using Mass Balance / continuity Eqn A, V = Az Vz II D x V = II xV₂ D. VF 4XV2 I Box ve Vi= 1D2

Using 0 in (4 vej? - va = 3-7404 ag 2 15 V2 = 73.396 V2 = 2.21 m/sec V = 412=8.84 m/ see Volume flow rate at the exit = AzVz - AV,= AV le - EXCLS3X2-21 9. = 3.905 mol See As As Exit CV) Velocity at De - Ax V 3.905 2 I x 2²xv V2 1.243 m/sec As