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Dimensional Analysis01:23

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Dimensional analysis is a powerful tool that is used in physics and engineering to understand and predict the behavior of physical systems. The basic idea behind dimensional analysis is to express physical quantities in terms of fundamental dimensions such as the mass, length, and time. Derived dimensions like the velocity, acceleration, and force are derived from the combinations of these fundamental dimensions.
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A dimensional analysis on firebrand penetration through a mesh screen.

Jiann C Yang1, Samuel L Manzello1

  • 1Fire Research Division, Engineering Laboratory, National Institute of Standards and Technology, Gaithersburg, Maryland 20899 U. S. A.

Fuel (London, England)
|September 29, 2015
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Dimensional analysis successfully correlated experimental data on firebrand penetration through mesh screens. This provides a framework for assessing a key ignition risk in wildland-urban interface fires.

Keywords:
emberfirebrandmesh screenwildland-urban interface fires

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Area of Science:

  • Fire Science
  • Fluid Dynamics
  • Engineering

Background:

  • Wildland-urban interface fires pose significant risks to structures.
  • Firebrand penetration through mesh screens is a critical ignition pathway for interior contents.

Purpose of the Study:

  • To correlate existing experimental data on firebrand penetration through mesh screens.
  • To develop a dimensionless framework for analyzing this phenomenon.

Main Methods:

  • Dimensional analysis was applied to experimental data.
  • Three dimensionless variables were derived: one for time and two for length.

Main Results:

  • The derived dimensionless parameters effectively correlated the experimental data.
  • The analysis identified key variables governing firebrand penetration.

Conclusions:

  • The developed dimensionless framework offers a useful tool for assessing firebrand penetration risk.
  • This research contributes to understanding and mitigating structural ignition in wildland fires.