Question

A flow rate meter is used to measure the flow rate of a water flow from left to right) in an inclined position. Due to spatial confinement, the two pressure taps-manometer tubes were inclined as well as shown. The meter is similar to a Venturi meter except at the small pipe the pressure tap is a stagnation pressure tap at 2. For the given geometries, calculate: 1) (4 pts)The velocity at the large pipe, in m/s 2) (3 pts)The velocity at the small pipe, in m/s 3) (5 pts) The volumetric flow rate, O. in m/s 4) (3 pts) Use the centerline of small pipe at point 2 as the datum (2-0), draw the Energy Line(EL) and Hydraulic Grade Line (HGL) between 1 and 2 1.2 m 200 mm 100 mm 076 Patun

Answer 1

Soli- The values Provided in the question Zoon Z ro.br loomn Datum Z2=0 Velocity of at large Pile :- 308 di = 20omma loomna o.1m L=0.6m h = 1.2m Peizometric head) 2₂=0 = 21 Sinzo = 2, L iz, = 0.6 Sin30° - 0.6 x 1 Sin 30% = 1/2 .. 2, = 0.3m Applying Bernoullis eqruation between 0 and o P + V + Z₂ i 18 22 pt uz tz, pg 22

p. +2 2 Sg (P2 89 29 28 +21) +23) h = vz = 2. 1.2 = 4,2 43 29 22 Assuming 'g=9.81 2-31 153 V₂² - v, 2 - 2x9.81 X 1.2 ² - v, 2 = 23.544 L ① Now, continuity equation. Avi = A₂ V2 Idi v = I da v 7/ (10.2 x V. =/ (041) V2 0.04 X vi = 0.01 V₂ 4 4v, = V2 Now, put the value of Nz in eq ④ - (4V.) ² - v,2 = 23.544 16V, 2 - V, 2 = 23.544 isv2 = 23.544 -V, 2= 23.549 15

= 1.5696 [v. = 1.252 mts As 2) Velocity at small pipe :- V2 = 40 - 4 (1.252) [V2 = 5.008 mis Aris 3) Volumetric flow rate Qi- since, a = AV = A2 Q=AN - T (0.2)2 x 1.252 4 = 0.0319 X 1.252 Q = 0.0393 m² is des 4) Energy line Hydraulic grade line TEL HAL PS 2 - PO N 2230 Datum

Hence, The values of required answers are shown in boxes.

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