Pressure Tube Modeling Problem
with
- H. Chen, University of Texas,
- A. Hatch, North Carolina State University,
- G. Peters, Iowa State University,
- L. Pritchett, Montana State University and
- A. Shcheprov, Kansas State University
Abstract
A technique for measuring air pressure at a point on the surface of an airplane's wing
involves the use of a long, thin plastic tube, open at one end and dead-ended at the other
with a pressure transducer. Many such tubes are attached to the wing with their respective
holes located on the surface of the wing. During a flight test, data from the pressure
transducer is recorded. However, the desired information is the pressure time history at
the open end of the tube. The mathematical formulation of this problem would be: We are given
a long thin hollow tube of known geometry with one end open and the other end closed. If
the pressure time history is known at the closed end, what are the time histories for the
flow rate and pressure at the open end of the tube. A model is presented to describe the
flow rate and pressure at the open end and the flow rate at the closed end. This is followed
by two different approaches to solve for the pressure time history at the open end of the tube
using this model.