Question

Question 1. (40 marks) Consider the Venturimeter show in the figure below where di is the diameter at the inlet pi is pressure, vi is the velocity Ajis area at section1. da, p2, V2, A3 are the corresponding values at the throat (section 2) a. Using Bernoulli's equation, show that the difference of pressure heads given by a differential manometer at sections 1 and 2, h can be expressed by the equation: (15 marks) 2g b. Under which condition the equation in part a is valid? (10 marks) c. Show that the volumetric flow rate can be expressed by the following equation: (15 marks) Α, Α, Qara = 2gh "VARA

Answer 1

P2,2 b 1 Bernouts & Ih an 2 pg + V2 2명 + Y, We + ₂² +Y eg ng the since, system i's both sides open 12,2 : J. Je 11 h ² - v,2

eqn mill not be valid, 2 + Sg + X2 22 - 4,2 2g P, P2 pg PP2 eg A, V = Az U2 SV A, vz? (1-42 - 3 / 4 Vg ( Pih P.-P Sg Vz A,

A = 2 d = ca A, 42 VAR 22 V 29 (2 sy =cd A, AZ VA, 2-A ² Peg (mo figh VA2A2