Diffuser Efficiency given Inlet and Exit Velocities Calculator

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Components of Gas Turbine

Jet Propulsion

Rocket Propulsion

Thermodynamics and Governing Equations

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✖Actual Static Pressure Rise denotes the change(increase) in pressure between two points in a diffuser considering losses.ⓘ Actual Static Pressure Rise [ΔP]			+10% -10%
✖Density of Air taken at standard conditions.ⓘ Density of Air [ρ]			+10% -10%
✖Inlet Velocity to Diffuser is defined as the velocity of air at the inlet of diffuser.ⓘ Inlet Velocity to Diffuser [C₁]			+10% -10%
✖Exit Velocity to Diffuser is defined as the velocity of air at the exit of diffuser.ⓘ Exit Velocity to Diffuser [C₂]			+10% -10%

✖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.ⓘ Diffuser Efficiency given Inlet and Exit Velocities [η_d]

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Formula

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Diffuser Efficiency given Inlet and Exit Velocities

Formula

`"η"_{"d"} = "ΔP"/("ρ"/2*("C"_{"1"}^2-"C"_{"2"}^2))`

Example

`"0.969106"="39Pa"/("1.293kg/m³"/2*(("80m/s")^2-("79.61m/s")^2))`

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Diffuser Efficiency given Inlet and Exit Velocities Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diffuser Efficiency = Actual Static Pressure Rise/(Density of Air/2*(Inlet Velocity to Diffuser^2-Exit Velocity to Diffuser^2))
η_d = ΔP/(ρ/2*(C₁^2-C₂^2))
This formula uses 5 Variables

Variables Used

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.
Actual Static Pressure Rise - (Measured in Pascal) - Actual Static Pressure Rise denotes the change(increase) in pressure between two points in a diffuser considering losses.
Density of Air - (Measured in Kilogram per Cubic Meter) - Density of Air taken at standard conditions.
Inlet Velocity to Diffuser - (Measured in Meter per Second) - Inlet Velocity to Diffuser is defined as the velocity of air at the inlet of diffuser.
Exit Velocity to Diffuser - (Measured in Meter per Second) - Exit Velocity to Diffuser is defined as the velocity of air at the exit of diffuser.

STEP 1: Convert Input(s) to Base Unit

Actual Static Pressure Rise: 39 Pascal --> 39 Pascal No Conversion Required
Density of Air: 1.293 Kilogram per Cubic Meter --> 1.293 Kilogram per Cubic Meter No Conversion Required
Inlet Velocity to Diffuser: 80 Meter per Second --> 80 Meter per Second No Conversion Required
Exit Velocity to Diffuser: 79.61 Meter per Second --> 79.61 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η_d = ΔP/(ρ/2*(C₁^2-C₂^2)) --> 39/(1.293/2*(80^2-79.61^2))

Evaluating ... ...

η_d = 0.969106202555887

STEP 3: Convert Result to Output's Unit

0.969106202555887 --> No Conversion Required

FINAL ANSWER

0.969106202555887 ≈ 0.969106 <-- Diffuser Efficiency

(Calculation completed in 00.004 seconds)

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< 4 Inlets Calculators

Diffuser Efficiency given Inlet and Exit Velocities

Go Diffuser Efficiency = Actual Static Pressure Rise/(Density of Air/2*(Inlet Velocity to Diffuser^2-Exit Velocity to Diffuser^2))

Diffuser Efficiency

Go Diffuser Efficiency = Actual Static Pressure Rise/Isentropic Static Pressure Rise

Kinetic Energy of Air at Inlet

Go Kinetic Energy = 1/2*Mass Flow Rate of Air*Aircraft Forward Speed^2

Inlet drag

Go Inlet drag = Mass Flow Rate of Air*Aircraft Forward Speed

Diffuser Efficiency given Inlet and Exit Velocities Formula

Diffuser Efficiency = Actual Static Pressure Rise/(Density of Air/2*(Inlet Velocity to Diffuser^2-Exit Velocity to Diffuser^2))
η_d = ΔP/(ρ/2*(C₁^2-C₂^2))

Diffuser Efficiency

The efficiency of the diffuser is defined as the ratio of the enthalpy change that occurred between the entrance to exit stagnation pressure to the kinetic energy.

How to Calculate Diffuser Efficiency given Inlet and Exit Velocities?

Diffuser Efficiency given Inlet and Exit Velocities calculator uses Diffuser Efficiency = Actual Static Pressure Rise/(Density of Air/2*(Inlet Velocity to Diffuser^2-Exit Velocity to Diffuser^2)) to calculate the Diffuser Efficiency, Diffuser Efficiency given Inlet and Exit Velocities is defined as the ratio of static pressure rise in actual process to the static pressure rise in the isentropic process when the latter is taken in terms of change in kinetic energy. Diffuser Efficiency is denoted by η_d symbol.

How to calculate Diffuser Efficiency given Inlet and Exit Velocities using this online calculator? To use this online calculator for Diffuser Efficiency given Inlet and Exit Velocities, enter Actual Static Pressure Rise (ΔP), Density of Air (ρ), Inlet Velocity to Diffuser (C₁) & Exit Velocity to Diffuser (C₂) and hit the calculate button. Here is how the Diffuser Efficiency given Inlet and Exit Velocities calculation can be explained with given input values -> 0.969106 = 39/(1.293/2*(80^2-79.61^2)).

FAQ

What is Diffuser Efficiency given Inlet and Exit Velocities?

Diffuser Efficiency given Inlet and Exit Velocities is defined as the ratio of static pressure rise in actual process to the static pressure rise in the isentropic process when the latter is taken in terms of change in kinetic energy and is represented as η_d = ΔP/(ρ/2*(C₁^2-C₂^2)) or Diffuser Efficiency = Actual Static Pressure Rise/(Density of Air/2*(Inlet Velocity to Diffuser^2-Exit Velocity to Diffuser^2)). Actual Static Pressure Rise denotes the change(increase) in pressure between two points in a diffuser considering losses, Density of Air taken at standard conditions, Inlet Velocity to Diffuser is defined as the velocity of air at the inlet of diffuser & Exit Velocity to Diffuser is defined as the velocity of air at the exit of diffuser.

How to calculate Diffuser Efficiency given Inlet and Exit Velocities?

Diffuser Efficiency given Inlet and Exit Velocities is defined as the ratio of static pressure rise in actual process to the static pressure rise in the isentropic process when the latter is taken in terms of change in kinetic energy is calculated using Diffuser Efficiency = Actual Static Pressure Rise/(Density of Air/2*(Inlet Velocity to Diffuser^2-Exit Velocity to Diffuser^2)). To calculate Diffuser Efficiency given Inlet and Exit Velocities, you need Actual Static Pressure Rise (ΔP), Density of Air (ρ), Inlet Velocity to Diffuser (C₁) & Exit Velocity to Diffuser (C₂). With our tool, you need to enter the respective value for Actual Static Pressure Rise, Density of Air, Inlet Velocity to Diffuser & Exit Velocity to Diffuser and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Diffuser Efficiency?

In this formula, Diffuser Efficiency uses Actual Static Pressure Rise, Density of Air, Inlet Velocity to Diffuser & Exit Velocity to Diffuser. We can use 1 other way(s) to calculate the same, which is/are as follows -

Diffuser Efficiency = Actual Static Pressure Rise/Isentropic Static Pressure Rise

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