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Beale Number Formula

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Beale Number is a parameter that characterizes the performance of Stirling engines. Check FAQs

B n = \frac{HP}{P \cdot SV p \cdot f e}

B_n - Beale Number?HP - Engine Power?P - Average Gas Pressure?SV_p - Piston Swept Volume?f_e - Engine Frequency?

Beale Number Example

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With units

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Here is how the Beale Number equation looks like with Values.

Here is how the Beale Number equation looks like with Units.

Here is how the Beale Number equation looks like.

0.1019 = \frac{160}{56 \cdot 205 \cdot 102}

0.1019 = \frac{160hp}{56N/m² \cdot 205m³ \cdot 102Hz}

0.1019 = \frac{160}{56 \cdot 205 \cdot 102}

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Beale Number Solution

Follow our step by step solution on how to calculate Beale Number?

FIRST Step Consider the formula

B n = \frac{HP}{P \cdot SV p \cdot f e}

Next Step Substitute values of Variables

∴

B n = \frac{160hp}{56N/m² \cdot 205m³ \cdot 102Hz}

Next Step Convert Units

∴

B n = \frac{119311.9795W}{56Pa \cdot 205m³ \cdot 102Hz}

Next Step Prepare to Evaluate

∴

B n = \frac{119311.9795}{56 \cdot 205 \cdot 102}

Next Step Evaluate

∴

B n = 0.101892446812871

LAST Step Rounding Answer

∴

B n = 0.1019

Beale Number Formula Elements

Variables

Beale Number

Beale Number is a parameter that characterizes the performance of Stirling engines.

Symbol: B_n

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Beale Number

Engine Power

Engine Power is the power that the engine gives out.

Symbol: HP

Measurement: PowerUnit: hp

Note: Value can be positive or negative.

Formulas to find Engine Power

Average Gas Pressure

Average Gas Pressure is the average of pressure inside the engine through out the process.

Symbol: P

Measurement: PressureUnit: N/m²

Note: Value should be greater than 0.

Formulas to find Average Gas Pressure

Piston Swept Volume

Piston Swept Volume is defined as the displacement of one cylinder. It is the volume between top dead center (TDC) and bottom dead center (BDC).

Symbol: SV_p

Measurement: VolumeUnit: m³

Note: Value can be positive or negative.

Formulas to find Piston Swept Volume

Engine Frequency

Engine Frequency in hertz is defined as the number of cycles per second in an ac sine wave.

Symbol: f_e

Measurement: FrequencyUnit: Hz

Note: Value can be positive or negative.

Formulas to find Engine Frequency

Other formulas in Important Formulas of Engine Dynamics category

Go Friction Power

FP = IP - BP

Go Swept Volume

V s = (((\frac{π}{4}) \cdot {D ic}^{2}) \cdot L)

Go Mean piston speed

s p = 2 \cdot L \cdot N

Go Inlet-Valve Mach Index

Z = ({(\frac{D c}{D i})}^{2}) \cdot (\frac{s p}{q f \cdot a})

How to Evaluate Beale Number?

Beale Number evaluator uses Beale Number = Engine Power/(Average Gas Pressure*Piston Swept Volume*Engine Frequency) to evaluate the Beale Number, The Beale Number is defined as a parameter that characterizes the performance of Stirling engines. Beale Number is denoted by B_n symbol.

How to evaluate Beale Number using this online evaluator? To use this online evaluator for Beale Number, enter Engine Power (HP), Average Gas Pressure (P), Piston Swept Volume (SV_p) & Engine Frequency (f_e) and hit the calculate button.

FAQs on Beale Number

What is the formula to find Beale Number?

The formula of Beale Number is expressed as Beale Number = Engine Power/(Average Gas Pressure*Piston Swept Volume*Engine Frequency). Here is an example- 0.101892 = 119311.97952/(56*205*102).

How to calculate Beale Number?

With Engine Power (HP), Average Gas Pressure (P), Piston Swept Volume (SV_p) & Engine Frequency (f_e) we can find Beale Number using the formula - Beale Number = Engine Power/(Average Gas Pressure*Piston Swept Volume*Engine Frequency).

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Beale Number Formula

Beale Number Example

Beale Number Solution

Beale Number Formula Elements

Other formulas in Important Formulas of Engine Dynamics category

How to Evaluate Beale Number?

FAQs on Beale Number

Variable Name