Beale Number Solution

STEP 0: Pre-Calculation Summary
Formula Used
Beale Number = Engine Power/(Average Gas Pressure*Piston Swept Volume*Engine Frequency)
Bn = HP/(P*SVp*fe)
This formula uses 5 Variables
Variables Used
Beale Number - Beale Number is a parameter that characterizes the performance of Stirling engines.
Engine Power - (Measured in Watt) - Engine Power is the power that the engine gives out.
Average Gas Pressure - (Measured in Pascal) - Average Gas Pressure is the average of pressure inside the engine through out the process.
Piston Swept Volume - (Measured in Cubic Meter) - 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).
Engine Frequency - (Measured in Hertz) - Engine Frequency in hertz is defined as the number of cycles per second in an ac sine wave.
STEP 1: Convert Input(s) to Base Unit
Engine Power: 160 Horsepower --> 119311.97952 Watt (Check conversion ​here)
Average Gas Pressure: 56 Newton per Square Meter --> 56 Pascal (Check conversion ​here)
Piston Swept Volume: 205 Cubic Meter --> 205 Cubic Meter No Conversion Required
Engine Frequency: 102 Hertz --> 102 Hertz No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Bn = HP/(P*SVp*fe) --> 119311.97952/(56*205*102)
Evaluating ... ...
Bn = 0.101892446812871
STEP 3: Convert Result to Output's Unit
0.101892446812871 --> No Conversion Required
FINAL ANSWER
0.101892446812871 0.101892 <-- Beale Number
(Calculation completed in 00.004 seconds)

Credits

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Created by Shareef Alex
velagapudi ramakrishna siddhartha engineering college (vr siddhartha engineering college), vijayawada
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National Institute Of Technology (NIT), Hamirpur
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Important Formulas of Engine Dynamics Calculators

Brake Power given Mean Effective Pressure
​ LaTeX ​ Go Brake Power = (Brake Mean Effective Pressure*Stroke Length*Area of Cross Section*(Engine Speed))
Beale Number
​ LaTeX ​ Go Beale Number = Engine Power/(Average Gas Pressure*Piston Swept Volume*Engine Frequency)
Brake specific fuel consumption
​ LaTeX ​ Go Brake Specific Fuel Consumption = Fuel Consumption in IC engine/Brake Power
Brake Power given Mechanical Efficiency
​ LaTeX ​ Go Brake Power = (Mechanical Efficiency/100)*Indicated Power

Characteristics and Operational Metrics Calculators

Beale Number
​ LaTeX ​ Go Beale Number = Engine Power/(Average Gas Pressure*Piston Swept Volume*Engine Frequency)
Swept Volume
​ LaTeX ​ Go Swept Volume = (((pi/4)*Inner Diameter of Cylinder^2)*Stroke Length)
Mean piston speed
​ LaTeX ​ Go Mean Piston Speed = 2*Stroke Length*Engine Speed
Friction Power
​ LaTeX ​ Go Friction Power = Indicated Power-Brake Power

Beale Number Formula

​LaTeX ​Go
Beale Number = Engine Power/(Average Gas Pressure*Piston Swept Volume*Engine Frequency)
Bn = HP/(P*SVp*fe)

What do you mean by Beale number?

In mechanical engineering, the Beale number is a parameter that characterizes the performance of Stirling engines.

What is the range of Beale number?

For engines operating with a high-temperature differential, typical values for the Beale number are in the range 0.11−0.15; where a larger number indicates higher performance.

How to Calculate Beale Number?

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

How to calculate Beale Number using this online calculator? To use this online calculator for Beale Number, enter Engine Power (HP), Average Gas Pressure (P), Piston Swept Volume (SVp) & Engine Frequency (fe) and hit the calculate button. Here is how the Beale Number calculation can be explained with given input values -> 0.101892 = 119311.97952/(56*205*102).

FAQ

What is Beale Number?
The Beale Number is defined as a parameter that characterizes the performance of Stirling engines and is represented as Bn = HP/(P*SVp*fe) or Beale Number = Engine Power/(Average Gas Pressure*Piston Swept Volume*Engine Frequency). Engine Power is the power that the engine gives out, Average Gas Pressure is the average of pressure inside the engine through out the process, 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) & Engine Frequency in hertz is defined as the number of cycles per second in an ac sine wave.
How to calculate Beale Number?
The Beale Number is defined as a parameter that characterizes the performance of Stirling engines is calculated using Beale Number = Engine Power/(Average Gas Pressure*Piston Swept Volume*Engine Frequency). To calculate Beale Number, you need Engine Power (HP), Average Gas Pressure (P), Piston Swept Volume (SVp) & Engine Frequency (fe). With our tool, you need to enter the respective value for Engine Power, Average Gas Pressure, Piston Swept Volume & Engine Frequency and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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