The formula to calculate the Absolute Discharge Pressure (P₂) is:
\[ P₂ = Pₐ + Pg \]
Where:
Let's say the atmospheric pressure (\( Pₐ \)) is 101325 Pa and the gauge discharge pressure (\( Pg \)) is 50000 Pa. Using the formula:
\[ P₂ = 101325 + 50000 \]
We get:
\[ P₂ = 151325 \text{ Pa} \]
So, the Absolute Discharge Pressure (\( P₂ \)) is 151325 Pa.
Absolute discharge pressure is the total pressure exerted by a fluid at the discharge point of a pump or compressor, measured relative to a perfect vacuum. It is the sum of the gauge discharge pressure and the atmospheric pressure. This measurement is crucial in various industrial applications, including fluid dynamics, thermodynamics, and mechanical engineering, as it provides a more accurate representation of the actual pressure conditions within a system.
Definition: Pump discharge pressure is the pressure at which a pump discharges fluid.
Formula: \( P_d = P_s + \frac{\rho g h}{144} \)
Example: \( P_d = 30 + \frac{1000 \times 9.81 \times 10}{144} \)
Definition: Absolute pressure is the total pressure exerted on a system, including atmospheric pressure.
Formula: \( P_{abs} = P_{gauge} + P_{atm} \)
Example: \( P_{abs} = 50 + 14.7 \)
Definition: Compressor discharge pressure is the pressure at which a compressor discharges gas.
Formula: \( P_d = P_s \times \left( \frac{V_s}{V_d} \right)^\gamma \)
Example: \( P_d = 20 \times \left( \frac{2}{1} \right)^{1.4} \)
