To calculate the pressure drop across an orifice:
\[ \Delta P = \frac{Cd \cdot \rho \cdot A \cdot V^2}{2} \]
Where:
An orifice pressure drop refers to the reduction in fluid pressure that occurs when the fluid flows through an orifice or a constriction in the pipe. This phenomenon is commonly used in engineering applications to measure the flow rate of the fluid. The principle behind this is Bernoulli’s equation, which states that the sum of the pressure energy, kinetic energy, and potential energy in a fluid remains constant. When the fluid passes through the orifice, its velocity increases, leading to an increase in kinetic energy. To maintain the energy balance, the pressure energy decreases, resulting in a pressure drop. The magnitude of this pressure drop can be calculated using the orifice equation, which takes into account the diameter of the orifice, the diameter of the pipe, the fluid density, and the fluid velocity. This pressure drop is then used to determine the flow rate of the fluid.
Let's assume the following values:
Using the formula:
\[ \Delta P = \frac{0.61 \cdot 1000 \cdot 0.01 \cdot (2)^2}{2} = 12.2 \, \text{Pa} \]
The Pressure Drop Across the Orifice is 12.2 Pa.
Let's assume the following values:
Using the formula:
\[ \Delta P = \frac{0.8 \cdot 850 \cdot 0.015 \cdot (3)^2}{2} = 45.9 \, \text{Pa} \]
The Pressure Drop Across the Orifice is 45.9 Pa.