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TECHNICAL BRIEFS

Partial Acoustic Filtering Applied to the Equations of Compressible Flow

[+] Author and Article Information
J. R. Torczynski

Fluid and Thermal Sciences Department, Sandia National Laboratories, Albuquerque, NM 87185-5800

J. Fluids Eng 113(4), 709-712 (Dec 01, 1991) (4 pages) doi:10.1115/1.2926541 History: Received June 29, 1990; Online May 23, 2008

Abstract

Gas contained in a rectangular laser cell of large length and small width is subjected to large, transient, spatially nonuniform, volumetric heating when pumped. The heating time scale is much longer than the time required for an acoustic wave to traverse the width but can be comparable to the time required for an acoustic wave to traverse the length. Approximate equations describing the motion are derived by applying partial acoustic filtering to the equations of motion: pressure waves traversing the width are removed while pressure waves traversing the length are retained. For a simplified one-dimensional example, a significant density variation is found across the width of the laser cell; moreover, this density variation is in good agreement with a numerical solution of the unapproximated gas dynamic equations although the latter requires two orders of magnitude more computational time

Copyright © 1991 by The American Society of Mechanical Engineers
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