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:
Volume Flow Rate Calculation:
The volume flow rate can be calculated by multiplying the area of the square section with the speed of the fluid.
Given: Volume flow rate, Q = A2v2 = 0.003025 × 0.125
Q = 0.000378 m³/s
Pressure Change Calculation:
The change in pressure P2-P1 between these two points can be calculated using Bernoulli's principle. Bernoulli's principle states that P₁ + 1/2ρv₁² + ρgh₁ = P₂ + 1/2ρv₂² + ρgh₂. By substituting the values and solving the equation, we can find the change in pressure.
The change in pressure P2-P1 between these two points is determined to be 64.07 Pa.