# An Ideal Fluid Flow Calculation: Speed, Volume Flow Rate, and Pressure Change

What is the speed of the fluid through the square section of the pipe in m/s? What is the volume flow rate in m^3/s? Calculate the change in pressure P2-P1 between these two points?

## Speed of Fluid Calculation:

**Given data:**Diameter of cylindrical pipe = 44 mm = 0.044 m Radius, r = 0.044/2 = 0.022 m Area, A1 = πr² = π(0.022)² = 0.0015 m² Velocity, v1 = 0.252 m/s Side of square cross-sectional area = 5.5 cm = 0.055 m Area, A2 = (side)² = (0.055)² = 0.003025 m² By applying the continuity equation, Q = A1v1 = A2v2, we can find the speed of the fluid through the square section of the pipe. Calculations: v2 = A1v1/A2 = 0.0015 × 0.252/0.003025 v2 = 0.125 m/s Therefore, the speed of the fluid through the square section of the pipe is 0.125 m/s.