Question

A horizontal water pipe goes from a large diameter to a small diameter and then back to the first diameter as shown in the figure below. The level of water in the small vertical tubes provides us with information about the water pressure in the two different sizes of pipe. The inside diameter of the larger pipe is 2.85 cm and water travels through both sizes of pipe with a volume flow rate of 1.20 10-4 m3/s. Determine the inside diameter of the smaller pipe.

T 8.00 cm 4.00 cm

Answer 1

dt dv = volume flow rate = 1,20x10+ m/s. dv Areax velocity AV- 1.20x10-4 At larga piometer O A V = 120X10-4 **(9,85x1044)?x x = 1.20x104 Velocity = V1 = 120X4 31141 x(2.85j2 0. 188 mis By Burnoullie's theorem at large and small Ps + 232 Po + 87 + 1.3% (818) = 6+ 5814.j+ 89 (0.188) 2 + even * = 0.035 +0.78 = 0.304. mais velocity at Small section. Now, 7x dx 0.904 = 1, 20x16-Y 1.3 ch. Yg 2 100 2 A - 1:20x10-4 4 d = 1:3x102