Aventuri meter is a device to measure fluid flow rates, which in its operation resembles the orifice meter (Section 3.2b). It consists of a tapered constriction in a line, with pressure taps leading to a differential manometer at points upstream of the constriction and at the point of maximum constriction (the throat). The manometer reading is directly related to the flow rate in the line. Th{| Suppose the flow rate of an incompressible fluid is to be measured in a venturi meter in which the cross-sectional area at point 1 is four times that at point 2. Velocity Relationship Correct How are the velocities un and u2 related at points 1 and 2? u1 u2 = 4 Write the Bernoulli equation for the system between points 1 and 2, and use it to prove that to the extent friction is negligible kpv P1 P2 = 2A} where Pi is the pressure at point 1; P2 is the pressure at point 2; A1 is the cross-sectional area of the pipe at point 1; p is the fluid density; and V is the volumetric flow rate. What is the value of k? | 15 X Check units and significant figures. Suppose this meter is used to measure the flow rate of a stream of toluene, using mercury as the manometer fluid, and a manometer reading h = 46.6 cm is recorded. What is the volumetric flow rate of the toluene if the pipe diameter at point 1 is 10.0 cm? (Recall the differential manometer equation, Equation 3.4-6.) V = i 38.2 L/S