Beale number: Difference between revisions

Content deleted Content added

Inline

Revision as of 02:14, 8 December 2006

The Beale Number is a parameter that characterizes the performance of Stirling Engines. It is often used to estimate the power output of a Stirling Engine design. For engines operating with a high temperature differential, typical values for the Beale Number range from ( 0.11 ) to ( 0.15 ); where a larger number indicates higher performance.

Definition

The Beale Number can be defined in terms of a Stirling engine's operating parameters:

Bn={\frac {Wo}{PVF}}

where:

Bn is the Beale Number
Wo is the power output of the engine (Watts)
P is the mean average gas pressure (MPa)
V is swept volume of the expansion space (cm³)
F is the engine cycle frequency (Hz)

Estimating Stirling Power

To estimate the power output of an engine, nominal values are assumed for the Beale Number, pressure, swept volume and frequency, then the power is calculated as the product of these parameters, as follows:

Wo={\frac {}{}}BnPVF

External links

Stirling Engine Performance Calculator

This engineering-related article is a stub. You can help Wikipedia by expanding it.

@@ Line 1: / Line 1: @@
-The '''Beale Number''' is a dimensional parameter used to characterize the performance of '''[[Stirling Engine]]s'''.  The Beale Number is often used to approximate of the power output of a Stirling Engine.
+The '''Beale Number''' is a parameter that characterizes the performance of '''[[Stirling Engine]]s'''.  It is often used to estimate the power output of a Stirling Engine design.  For engines operating with a high temperature differential, '''typical values for the Beale Number range from ( 0.11 ) to ( 0.15 )'''; where a larger number indicates higher performance.
+==Definition==
-The Beale Number is defined as:
+The Beale Number can be defined in terms of a Stirling engine's operating parameters:
-::<math>Bn = \frac{Ls}{P V N} </math>
+::<math>Bn = \frac{Wo}{P V F} </math>
 where:
 *'''Bn''' is the Beale Number
-*'''Ls''' is the power output of the engine ([[Watts]])
+*'''Wo''' is the power output of the engine ([[Watts]])
 *'''P''' is the [[Arithmetic_mean|mean average]] gas [[pressure]] ([[MPa]])
 *'''V''' is swept [[volume]] of the expansion space ([[centimeters|cm<sup>3</sup>]])
-*'''N''' is the engine cycle frequency ([[Hertz|Hz]])
+*'''F''' is the engine cycle frequency ([[Hertz|Hz]])
-For engines operating with a high temperature differential, '''typical values for the Beale Number range from ( 0.11 ) to ( 0.15 )'''; where a larger number indicates higher performance.
+==Estimating Stirling Power==
-To estimate the power output of an engine, a nominal values for the Beale Number, pressure, swept volume and frequency are assumed, and the power is calculated as follows:
+To estimate the power output of an engine, nominal values are assumed for the Beale Number, pressure, swept volume and frequency, then the power is calculated as the product of these parameters, as follows:
-Power = (Beale Number) x (mean pressure) x (Swept volume of expansion space) x (Frequency)
+<!-- Power = (Beale Number) x (mean pressure) x (Swept volume of expansion space) x (Frequency)  -->
+::<math>Wo = \frac{}{}Bn P V F </math>