Question

Q2 (10 pts): Water flow through a Venturi meter as shown in the figure below. Determine the discharge coefficient of the Venturi meter if the discharge is determined to be 2.12 cfs. 12 in Flow 4 in Water 9 in Mercury

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Answer 1

Given! Venturimeter Problem throat K flow Juin 12in Water gin -Hg (Merway) d = 12in da = " in &= 2.12 cfs (given) We know, in utube manomekee fluid For heavier we have, Sh h = x SL (sh where. in U-tube a = difference of liquid x=9in ( Given)

We know, Cd. 9.az inlet pipe agh Ja? - az where, Od = discharege coefficient a, area of throat h = head difference, Now, a, = (12) 113.097 in? az = 12.57 in a area of (43? and h = a C Smercury Swater I ء न Smany specific gravity of Mercury z 13-6 kg/l Swaty = Specific grauity of water - 1 kgle sa h = a (13.6 - 1 = 113.4 in

I and go 386.0886 inches per square seind lipse] also convert discharge unit to cabei wicher per secondo ee Jo Q = 2.12 x 1728 = 3663.36 cubic inches Now, putting all these values en equ ® I. cf = 1728 cis sec 3663.36 = 3663.36 = Cd x 113.097X 12.57x12x386088 X 113.4 J13.0993 — (12:57) Cd x 1421-63X295.91 112.3963 By solving, we get [ Cd = 0.9780 Hence, discharge oefficient is having no wit te unit less (as constant).