Question

D 6 in 9 in 20 ft d 3 in Pump Problem 3 Problem 2 Problem 3 Gasoline at 68 °F flows down through a Venturi nozzle as in the diagram. The throat diameter is 3 in., and the pipe diameter is 6 in. A mercury manometer attached to the pipe shows a 4-in. reading. The manometer tapss are 9 in apart. The Venturi discharge coefficient is given as Cy 0.9526 - 0.179(A4, where B is the ratio of the throat diameter to pipe diameter. Calculate the pipe flow Reynolds number and check the above correlation for accuracy

Answer 1

WHITE Page ANP 0 Given mm gin HAVE Her cury Ventwimeter is a device wed to calculate speed on flow rate of the fluid through the pipe. • let A1 = area in entrance of pipe, Vi= velocity I A = area at throat, V = velocity at throat • Properties of Gasoline at 68°F = 20°C , u= (dynamic viscosity) = 0.086 boise = ood6 NS/m²' now Abblynus Bernoulli's Thessem at barito and@ | +99h (due to heigh differenced

WRITE ON Date WHITE Page Reasnangrif Pi-P2 = 1 Igarline (V, V, 2 ) + ( quotias xgx has high to acen due to graurity As ber enhimilis equatori AIVI = A₂ V2 or Via Az - 2 AL replacing eq@ in eg. we get

Also, P,- Po=hmer & Smer xq - 4 diff. in height of morwy in Macomete Smer Booo kg / m3 equating eq@ and Az Ve tayh 1. T.KI - 8) A - A) or hmax max g = 2 2 1 - 1 4 2 2 2 + gh Sgasoline on putting values lam , gin=0.2286m himen = 4 in=.1016m cation GY

10.07 + 9.81 x 1015 0.1016x13600498/ 711 (0.2286) 10ubi slisboys ol = V! (1 - Content + groux 19:05–2:24 = 4, K54 (0.782) 33.64 = V 1 2 6.55m 0.782 and Re = f Vada = 771x 6.55 X 0.07 = 5.89x105 0086 Now Cd=0.9526-0.1790.07 74 1=0.94 0-15 Fost Reynoldis number above 2x10 (d = 0.95 and above result is some what comparable so, the given equation of Cd can be used