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Cylindrical heat conduction and structural acoustic models for enclosed fiber array thermophones
Benjamin R Dzikowicz1, James F Tressler1, Jeffrey W Baldwin1
1Naval Research Laboratory, Physical Acoustics Branch, Code 7130, 4555 Overlook Avenue Southwest, Washington, DC 20375, USA.
The Journal of the Acoustical Society of America
|December 3, 2017
Summary
This study models thermophone heating element efficiency using carbon fiber arrays. Simplified heat equation solutions predict acoustic response and optimize array density for maximal efficiency.
Area of Science:
- Thermodynamics
- Acoustics
- Materials Science
Background:
- Calculating heat loss in thermophone heating elements is complex due to unidirectional heat flow.
- Steady-state behavior is challenging to establish for these devices.
- Carbon fiber arrays in planar enclosures offer potential for simplified analysis.
Purpose of the Study:
- To develop a model for calculating thermophone heating element efficiency.
- To predict the acoustic response of thermophone devices.
- To determine the optimal carbon fiber array density for maximal efficiency.
Main Methods:
- Solving the heat equation with simplifying assumptions for carbon fiber arrays.
- Applying Helmholtz resonator and thin plate structural acoustics models.
- Designing and testing a laboratory thermophone with a sparse carbon fiber array.
Main Results:
- Experimental results were compared with the developed model.
- The model provides a method to determine thermophone efficiency.
- Analysis indicates an optimal array density for maximizing efficiency.
Conclusions:
- Simplified heat equation solutions are effective for analyzing thermophone efficiency.
- Acoustic response can be accurately predicted using established models.
- Optimizing carbon fiber array density is crucial for efficient thermophone design.
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