Diffuser Efficiency Given Inlet And Exit Velocities Calculator

Diffuser Efficiency Formula:

\[ \eta_d = \frac{\Delta P}{\frac{\rho}{2} \times (C_1^2 - C_2^2)} \]

Actual Static Pressure Rise (ΔP):

Pascal

Density of Air (ρ):

kg/m³

Inlet Velocity to Diffuser (C₁):

m/s

Exit Velocity to Diffuser (C₂):

m/s

Diffuser Efficiency (ηd):

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1. What is Diffuser Efficiency?

The diffuser efficiency is defined as the ratio of static pressure rise in an actual process to the static pressure rise in an isentropic process. It measures how effectively a diffuser converts kinetic energy into pressure energy.

2. How Does the Calculator Work?

The calculator uses the diffuser efficiency formula:

\[ \eta_d = \frac{\Delta P}{\frac{\rho}{2} \times (C_1^2 - C_2^2)} \]

Where:

\( \eta_d \) — Diffuser Efficiency
\( \Delta P \) — Actual Static Pressure Rise (Pascal)
\( \rho \) — Density of Air (kg/m³)
\( C_1 \) — Inlet Velocity to Diffuser (m/s)
\( C_2 \) — Exit Velocity to Diffuser (m/s)

Explanation: The formula calculates the efficiency by comparing the actual pressure rise to the theoretical maximum pressure rise based on velocity changes.

3. Importance of Diffuser Efficiency Calculation

Details: Calculating diffuser efficiency is crucial for evaluating the performance of fluid flow systems, optimizing energy conversion in HVAC systems, jet engines, and various industrial applications where pressure recovery is important.

4. Using the Calculator

Tips: Enter actual static pressure rise in Pascal, density of air in kg/m³, inlet and exit velocities in m/s. All values must be valid positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is a typical range for diffuser efficiency?
A: Diffuser efficiency typically ranges from 0.7 to 0.95 (70-95%), depending on the design and operating conditions.

Q2: Why might diffuser efficiency be less than 100%?
A: Efficiency is less than 100% due to factors like friction losses, flow separation, turbulence, and other irreversibilities in the actual flow process.

Q3: How does inlet velocity affect diffuser efficiency?
A: Higher inlet velocities generally provide more kinetic energy for conversion to pressure, but excessive velocities can cause flow separation and reduce efficiency.

Q4: What happens if exit velocity is greater than inlet velocity?
A: If C₂ > C₁, the denominator becomes negative, indicating the diffuser is not functioning properly as a pressure recovery device.

Q5: Can this formula be used for liquids as well as gases?
A: Yes, the formula applies to both liquids and gases, but the density value must be appropriate for the fluid being used.