The formula to calculate the Dynamic Pressure Loss (P_d) is:
\[ P_d = \frac{\rho \cdot v^2}{2} \]
Where:
Dynamic pressure loss refers to the loss of pressure in a fluid flow system due to the kinetic energy of the fluid. It is a measure of the energy required to move the fluid through a system and is influenced by factors such as fluid velocity and density. Dynamic pressure loss is an important consideration in the design and analysis of fluid flow systems, as it affects the overall efficiency and performance of the system.
Let's say the density of the fluid (ρ) is 1000 kg/m³, and the velocity of the fluid (v) is 5 m/s. Using the formula:
\[ P_d = \frac{1000 \times 5^2}{2} = 12500 \]
So, the dynamic pressure loss (P_d) is 12500 Pa.
Definition: Dynamic pressure is the kinetic energy per unit volume of a fluid in motion.
Formula: \( p_d = \frac{1}{2} \rho v^2 \)
Example: \( p_d = \frac{1}{2} \times 1.225 \times 15^2 \)
Definition: Pressure loss in a fluid system is the reduction in pressure due to friction and other resistances.
Formula: \( \Delta p = f \frac{L}{D} \frac{\rho v^2}{2} \)
Example: \( \Delta p = 0.02 \times \frac{100}{0.5} \times \frac{1.225 \times 10^2}{2} \)
Definition: Dynamic air pressure is the pressure exerted by air in motion.
Formula: \( p_d = \frac{1}{2} \rho v^2 \)
Example: \( p_d = \frac{1}{2} \times 1.2 \times 20^2 \)
Definition: Air pressure loss is the reduction in pressure due to friction and other resistances in an air flow system.
Formula: \( \Delta p = f \frac{L}{D} \frac{\rho v^2}{2} \)
Example: \( \Delta p = 0.03 \times \frac{50}{0.3} \times \frac{1.2 \times 25^2}{2} \)
Definition: Water pressure loss is the reduction in pressure due to friction and other resistances in a water flow system.
Formula: \( \Delta p = f \frac{L}{D} \frac{\rho v^2}{2} \)
Example: \( \Delta p = 0.015 \times \frac{200}{0.4} \times \frac{1000 \times 5^2}{2} \)
Definition: Total pressure loss is the sum of all pressure losses in a fluid system.
Formula: \( \Delta p_{total} = \sum \Delta p_i \)
Example: \( \Delta p_{total} = \Delta p_1 + \Delta p_2 + \Delta p_3 \)
