Application of Bernoulli's Equation

1. A pipe AB carries water and tapers uniformly from a diameter 0.7 m at A to 0.3 m at

B over a length of 4 m. Pressure gauges are installed at A and B. If the centreline is

horizontal and pressures recorded at A and B are 400 kPa and 370 kPa, respectively,

determine the flow through the pipe. Neglect all losses.

2. 2. A pipe 100 mm bore diameter carries oil of density 900 kg/m³ at a rate of 4 kg/s. The pipe reduces to 60 mm bore diameter and rises 120 m in altitude. The pressure at this

point is atmospheric (zero gauge). Assuming no frictional losses, determine:

i. The discharge

ii. The velocity at each section

iii. The pressure at the lower end.