From CAS to EAS – Calculating and Plotting the Compressibility Correction Chart
Bachelor Thesis
Author: Sarmiento Beltran, Danny Steeven
Date: 2024-03-27
Supervisor: Dieter Scholz
Abstract
Purpose – Relatively cumbersome is the conversion between calibrated airspeed (CAS) and equivalent airspeed (EAS), because it involves the calculation of incompressible flow. Equations are quite long. If calculations on the computer are required, a conversion with these equations is necessary. In contrast, this report uses the equations to calculate and construct the CAS to EAS Compressibility Correction Chart. In this way, the result can be read quickly from the chart. --- Methodology – In Excel, compressibility correction is achieved through equations from flight mechanics. The correction is calculated with two distinct functions, one based on Mach number and the other on pressure altitude. These functions are graphed individually and then integrated to produce the Compressibility Correction Chart. --- Findings – The Compressibility Correction Chart was successfully created as a 2-D graph. Upon comparison with other correction charts, the determined correction for CAS showed no variation, proving the accuracy of the findings. --- Research Limitations – Due to a limitation in Excel, which allows for 255 series for plotting, the range of input parameters had to be adjusted accordingly. The iterations of altitude span 1000 ft intervals, while those for Mach Number span 0.05 intervals. --- Practical Implications – Pilots can easily use the Compressibility Correction Chart for a quick and highly accurate conversion between CAS and EAS. --- Originality – CAS-EAS Compressibility Correction Charts are also available from other sources. This report presents a creation of the 2-D Correction Chart using Excel as spreadsheet.
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URN, the Persistent Identifier (from the German National Library) to quote this Landing Page:
https://nbn-resolving.org/urn:nbn:de:gbv:18302-aero2024-03-27.012
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Associated research data: https://doi.org/10.7910/DVN/6QWEX1
The Compressibility Correction Chart, converting from CAS to EAS.
LAST UPDATE: 11 April 2024
AUTHOR: Prof. Dr. Scholz
IMPRESSUM (PDF)
Prof. Dr. Scholz
Aircraft Design and Systems Group (AERO)
Aeronautical Engineering
Department of Automotive and Aeronautical Engineering
Faculty of Engineering and Computer Science
Hamburg University of Applied Sciences