Pressure Difference Between Pipelines: Calculating in Pa and psi
How can we determine the pressure difference between two parallel pipelines using an inverted manometer?
Given the densities of the fluids and the manometer readings, what is the step-by-step process to find the pressure difference in both Pa and psi?
Calculating the Pressure Difference
To calculate the pressure difference between the two parallel pipelines using an inverted manometer, we need to consider the densities of the fluids and the manometer readings.
First, we convert the units into slugs/ft³. The difference in height between the manometer fluid levels is crucial in determining the pressure difference.
The formula to calculate pressure (P) is P = ρgh, where ρ represents density, g is the acceleration due to gravity, and h indicates the height difference.
By applying the given data, the pressure difference can be calculated in both pounds per square inch (psi) and pascals (Pa).
To find the pressure difference in pounds per square inch (psi), we use the equation (1.988 - 1.828) * 32.2 * 10 = 161.76 psi.
To convert the pressure difference to pascals (Pa), we utilize the conversion factor 1 psi = 6894.76 Pa. Therefore, the pressure difference is 161.76 * 6894.76 = 1,116,179 Pa.
By considering the difference in height between the manometer fluid levels and the densities of the fluids, we can accurately determine the pressure difference between the pipelines.