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ESDU 10014:2010

$62.40

Full-Potential Method for Three-Dimensional Wings and Wing-Body Combinations – Part 5: Pre-Processor to Represent Effect of Fore- and Aft-Body Shape on Wing Flow

Published By Publication Date Number of Pages
ESDU 2010-03 NA
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INTRODUCTION

This is the fifth part of the series of Data Items dealing with
the Full-Potential (FP) method for three-dimensional wings and
wing-body combinations. There is a facility in FP for using an
indirect (albeit approximate) method of including the effects on
the wing due to the fore and aft shaping of the fuselage. Using
this approach, the fuselage is specified in the geometry file as an
infinite circular cylinder with a radius which closely represents
the fuselage cross section profile at the wing-body junction, but
the effective flow speed at each wing spanwise grid position
differs from the actual free stream Mach number. The speed
differences that are applied in FP are derived from input values of
increments to the free stream Mach number. The Mach number
increments are specified in the flow input file at a number of
lateral locations to give a spanwise variation. The FP program then
utilises linear interpolation (and, if necessary, linear
extrapolation) to generate the corresponding increment at each of
the wing grid sections.

Alternatively, as described in ESDU 02013 (Reference 1), the
Mach number increments may be determined by a body-alone method
such as slender-body theory or a panel method. This Data Item
describes a simple procedure for implementing the effects of body
shaping at zero incidence by means of the ‘source-sink'
representation to provide a pre-processor to FP to routinely
calculate the effects of body shaping based solely on body length,
fore-body length, aft-body length, body radius of the parallel
portion and wing position.

A detailed description of the use of the pre-processor programs
is given in Section 3 followed in Section 4 by a process to output
data in a format giving contours of constant Mach number. The
principles of the method are given in Section 5. Comments on the
accuracy and limitations are in Section 6. The derivation of body
shape process and validation of the method is given in Appendix
A.

ESDU 10014:2010
$62.40