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Diffuser Efficiency given Inlet and Exit Velocities Formula

GoDiffuser Efficiency Formula

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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. Check FAQs

η d = \frac{ΔP}{\frac{ρ}{2} \cdot ({C 1}^{2} - {C 2}^{2})}

η_d - Diffuser Efficiency?ΔP - Actual Static Pressure Rise?ρ - Density of Air?C₁ - Inlet Velocity to Diffuser?C₂ - Exit Velocity to Diffuser?

Diffuser Efficiency given Inlet and Exit Velocities Example

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Here is how the Diffuser Efficiency given Inlet and Exit Velocities equation looks like with Values.

Here is how the Diffuser Efficiency given Inlet and Exit Velocities equation looks like with Units.

Here is how the Diffuser Efficiency given Inlet and Exit Velocities equation looks like.

0.9691 = \frac{39}{\frac{1.293}{2} \cdot (80^{2} - {79.61}^{2})}

0.9691 = \frac{39Pa}{\frac{1.293kg/m³}{2} \cdot ({80m/s}^{2} - {79.61m/s}^{2})}

0.9691 = \frac{39}{\frac{1.293}{2} \cdot (80^{2} - {79.61}^{2})}

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Diffuser Efficiency given Inlet and Exit Velocities Solution

Follow our step by step solution on how to calculate Diffuser Efficiency given Inlet and Exit Velocities?

FIRST Step Consider the formula

η d = \frac{ΔP}{\frac{ρ}{2} \cdot ({C 1}^{2} - {C 2}^{2})}

Next Step Substitute values of Variables

∴

η d = \frac{39Pa}{\frac{1.293kg/m³}{2} \cdot ({80m/s}^{2} - {79.61m/s}^{2})}

Next Step Prepare to Evaluate

∴

η d = \frac{39}{\frac{1.293}{2} \cdot (80^{2} - {79.61}^{2})}

Next Step Evaluate

∴

η d = 0.969106202555887

LAST Step Rounding Answer

∴

η d = 0.9691

Diffuser Efficiency given Inlet and Exit Velocities Formula Elements

Variables

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.

Symbol: η_d

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Diffuser Efficiency

Actual Static Pressure Rise

Actual Static Pressure Rise denotes the change(increase) in pressure between two points in a diffuser considering losses.

Symbol: ΔP

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Actual Static Pressure Rise

Density of Air

Density of Air taken at standard conditions.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Air

Inlet Velocity to Diffuser

Inlet Velocity to Diffuser is defined as the velocity of air at the inlet of diffuser.

Symbol: C₁

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Inlet Velocity to Diffuser

Exit Velocity to Diffuser

Exit Velocity to Diffuser is defined as the velocity of air at the exit of diffuser.

Symbol: C₂

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Exit Velocity to Diffuser

Other Formulas to find Diffuser Efficiency

Go Diffuser Efficiency

η d = \frac{ΔP}{ΔP'}

Other formulas in Inlets category

Go Kinetic Energy of Air at Inlet

KE = \frac{1}{2} \cdot m a \cdot V^{2}

Go Inlet drag

F D = m a \cdot V

How to Evaluate Diffuser Efficiency given Inlet and Exit Velocities?

Diffuser Efficiency given Inlet and Exit Velocities evaluator uses Diffuser Efficiency = Actual Static Pressure Rise/(Density of Air/2*(Inlet Velocity to Diffuser^2-Exit Velocity to Diffuser^2)) to evaluate 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 evaluate Diffuser Efficiency given Inlet and Exit Velocities using this online evaluator? To use this online evaluator 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.

FAQs on Diffuser Efficiency given Inlet and Exit Velocities

What is the formula to find Diffuser Efficiency given Inlet and Exit Velocities?

The formula of Diffuser Efficiency given Inlet and Exit Velocities is expressed as Diffuser Efficiency = Actual Static Pressure Rise/(Density of Air/2*(Inlet Velocity to Diffuser^2-Exit Velocity to Diffuser^2)). Here is an example- 0.969106 = 39/(1.293/2*(80^2-79.61^2)).

How to calculate Diffuser Efficiency given Inlet and Exit Velocities?

With Actual Static Pressure Rise (ΔP), Density of Air (ρ), Inlet Velocity to Diffuser (C₁) & Exit Velocity to Diffuser (C₂) we can find Diffuser Efficiency given Inlet and Exit Velocities using the formula - Diffuser Efficiency = Actual Static Pressure Rise/(Density of Air/2*(Inlet Velocity to Diffuser^2-Exit Velocity to Diffuser^2)).

What are the other ways to Calculate Diffuser Efficiency?

Here are the different ways to Calculate Diffuser Efficiency-

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

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Diffuser Efficiency given Inlet and Exit Velocities Formula

​GoDiffuser Efficiency Formula

Diffuser Efficiency given Inlet and Exit Velocities Example

Diffuser Efficiency given Inlet and Exit Velocities Solution

Diffuser Efficiency given Inlet and Exit Velocities Formula Elements

Other Formulas to find Diffuser Efficiency

Other formulas in Inlets category

How to Evaluate Diffuser Efficiency given Inlet and Exit Velocities?

FAQs on Diffuser Efficiency given Inlet and Exit Velocities

Variable Name

GoDiffuser Efficiency Formula