ESDU Transonic Aerodynamics Series
The information is concerned with the flow around aerofoils, wings, bodies and cowls at high subsonic, transonic and (in a few cases) low supersonic speeds. The transition from high subsonic to transonic flow is marked by the development of a local region of supersonic flow embedded in the otherwise wholly subsonic flow and the consequent development of shock waves and shock wave drag.
Methods in computational fluid dynamics (CFD) are important in the study of transonic aerodynamics, and information is provided concerning the use of such methods. Example results are given that demonstrate the accuracy that can be achieved for both inviscid and viscous flow. The Sections provide methods of calculating the pressure distribution and loading on aerofoils and wings in high subsonic flow, provide methods of calculating the drag-rise Mach number and/or the wave drag of aerofoils, wings and bodies, and provide exchange rates between pertinent aerofoil and wing design parameters at the drag-rise condition. For aerofoils and wings, particular attention is paid to the prediction of shock-induced separation and both direct (CFD) prediction and semi-empirical methods are given.
CFD has also been used to provide data for the wave drag coefficient for families of low fineness ratio forebodies and for an extensive family of axisymmetric forecowls. The data demonstrate how the pressure distribution and shock waves develop on the forebodies and forecowls considered as the Mach number is increased and as detailed changes in geometry are made.
A unique feature is the extensive treatment of the application of vortex generators to the control of shock-induced separation, particularly on wings, which includes consideration of the aerodynamic principles involved, a design guide and case studies of the use of vortex generators.
-
Section 1 : Explanatory and General Guidance
-
ESDU 99034
Transonic Aerodynamics Series organisation: preface, location schedule, amendment record. -
ESDU 90008
Introduction to transonic aerodynamics of aerofoils and wings.
-
ESDU 99034
-
Section 2 : Aerofoils - Estimation of Pressure Distribution
-
ESDU TD MEMO 6511
A method for estimating the pressure distribution between the crest and the trailing edge on the surface of an aerofoil section in a sonic stream. -
ESDU 69013
A method for estimating the pressure distribution on the surface of a two-dimensional aerofoil in a sonic stream. -
ESDU 72025
Second-order method for estimating the subcritical pressure distribution on a two-dimensional aerofoil in compressible inviscid flow. -
ESDU 76002
First-order method for estimating the subcritical pressure distribution on a two-dimensional aerofoil in compressible viscous flow.
-
ESDU TD MEMO 6511
-
Section 3 : Aerofoils - Computational Methods
-
ESDU 79009
Numerical methods for solving the potential flow equations for two-dimensional aerofoils in subsonic and transonic flows: brief details, test cases and examples. -
ESDU 81019
Methods for estimating the pressure distribution on a two-dimensional aerofoil in viscous transonic flow.
-
ESDU 79009
-
Section 4 : Aerofoils - Drag Rise, Designs, Separation
-
ESDU TD MEMO 6407
A method of estimating drag-rise Mach number for two-dimensional aerofoil sections. -
ESDU 71019
Drag-rise Mach number of aerofoils having a specified form of upper-surface pressure distribution: charts and comments on design. -
ESDU 71020
Aerofoils having a specified form of upper-surface pressure distribution: details and comments on design. -
ESDU 78010
The lift achievable by aerofoils having a particular form of supercritical upper-surface pressure distribution that yields only small wave drag. -
ESDU 81020
A method of estimating a separation boundary for two-dimensional aerofoil sections in transonic flow. -
ESDU 92008
Direct prediction of a separation boundary for aerofoils using a viscous-coupled calculation method.
-
ESDU TD MEMO 6407
-
Section 5 : Aerofoils - Excrescence Drag Magnification
-
ESDU ASTEROID
Aircraft Surface Tolerances for Enhanced Repair, Operations and Design -
ESDU 87004
Calculation of excrescence drag magnification due to pressure gradients at high subsonic speeds. -
ESDU 18009
The estimation of turbulent boundary layer power-law velocity and q profiles from shape factor and momentum thickness
-
ESDU ASTEROID
-
Section 6 : VGK Aerofoil Method
-
ESDU 96028
VGK method for two-dimensional aerofoil sections. Part 1: Principles and results. -
ESDU 96029
VGK method for two-dimensional aerofoil sections. Part 2: user manual. -
ESDU 97030
VGK method for two-dimensional aerofoil sections. Part 3: estimation of a separation boundary in transonic flow. -
ESDU 98031
VGK method for two-dimensional aerofoil sections. Part 4: estimation of excrescence drag at subsonic speeds. -
ESDU 99032
VGK method for two-dimensional aerofoil sections. Part 5: design to a specified upper-surface pressure distribution. -
ESDU 01033
VGK method for two-dimensional aerofoil sections. Part 6: aerofoil with simple hinged flaps. -
ESDU 03015
Transonic data memorandum. VGK method for two-dimensional aerofoil sections. Part 7: VGK for Windows.
-
ESDU 96028
-
Section 7 : Wings - Aerodynamic Design
-
ESDU 97017
Guide to wing aerodynamic design. -
ESDU 98013
Aerodynamic principles of winglets.
-
ESDU 97017
-
Section 8 : Wings - Spanwise Loading
-
ESDU TD MEMO 6309
Graphical method for estimating the spanwise distribution of aerodynamic centre on wings in subsonic flow. -
ESDU TD MEMO 6403
Method for the rapid estimation of theoretical spanwise loading due to a change of incidence. -
ESDU 73012
Method for predicting the pressure distribution on swept wings with subsonic attached flow.
-
ESDU TD MEMO 6309
-
Section 9 : Wings - Drag Rise, Wave Drag, Separation
-
ESDU 72027
Adaptation of drag-rise charts in T.D. Memor. 71019 to the mid-semi-span portion of swept and tapered planforms. -
ESDU 78009
A framework relating the drag-rise characteristics of a finite wing/body combination to the those of its basic aerofoil. -
ESDU 87003
A method of determining the wave drag and its spanwise distribution on a finite wing in transonic flow. -
ESDU 91021
A method of estimating a flow breakdown boundary for aerofoils and swept wings in transonic flow.
-
ESDU 72027
-
Section 10 : VFP Wing Method
-
ESDU 02013
Full-potential (FP) method for three-dimensional wings and wing-body combinations - inviscid flow. Part 1: Principles and results. -
ESDU 02014
Full-potential (FP) method for three-dimensional wings and wing-body combinations - inviscid flow. Part 2: Use of FP and related programs. -
ESDU 06015
Full-potential method for three-dimensional wings and wing-body combinations - inviscid flow. Part 3: Method with improved estimates of body lift and drag contributions (FPIBE). -
ESDU 06016
Full-potential method for three-dimensional wings and wing-body combinations - inviscid flow. Part 4: Evaluation of trailing-vortex drag and wave components. -
ESDU 10014
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 -
ESDU 11007
Full-potential method for three-dimensional wings and wing-body combinations Part 6: Full-potential with frozen boundary layer -
ESDU 13013
Viscous full-potential (VFP) method for three-dimensional wings and wing-body combinations. Part 1: Validation of VFP results with experiment and comparisons with other methods. -
ESDU 13012
Viscous full-potential (VFP) method for three-dimensional wings and wing-body combinations.
Part 2: Use of VFPHE and related programs. -
ESDU 13014
Viscous full-potential (VFP) method for three-dimensional wings and wing-body combinations. Part 3: VFP error messages, failures and suggested remedies. -
ESDU 21002
Viscous full-potential (VFP) method for three dimensional wings and wing-body combinations.
Part 4: VFP analysis programs for flow breakdown and forces and loads -
ESDU 23013
Viscous full-potential (VFP) method for three dimensional wings and wing-body combinations
Part 5: Estimation of excrescence drag at subsonic speeds and analysis program -
ESDU TM 214
ESDU TECHNICAL MEMORANDUM:
The estimate of effect of a wing rear spar repair to a single aisle aircraft on aerodynamic performance
-
ESDU 02013
-
Section 11 : Vortex Generators
-
ESDU 93024
Vortex generators for control of shock-induced separation. Part 1: introduction and aerodynamics. -
ESDU 93025
Vortex generators for control of shock-induced separation. Part 2: guide to use of vane vortex generators. -
ESDU 93026
Vortex generators for control of shock-induced separation. Part 3: examples of applications of vortex generators to aircraft.
-
ESDU 93024
-
Section 12 : Axisymmetric Bodies - Drag Rise
-
ESDU 74013
A method for estimating drag-rise Mach number at zero incidence of smooth or bumpy non-ducted axisymmetric bodies without or with fins.
-
ESDU 74013
-
Section 13 : Axisymmetric Forebodies - Wave Drag, Pressure Distribution
-
ESDU 79004
Forebodies of fineness ratio 1.0, 1.5 and 2.0, having low values of wave drag coefficient at transonic speeds. -
ESDU 80008
Axial pressure coefficient distributions for forebodies of fineness ratio 1.0, 1.5 and 2.0 at zero incidence in transonic flow. -
ESDU 83017
The wave drag coefficient of spherically blunted secant ogive forebodies of fineness ratio 1.0, 1.5, and 2.0 at zero incidence in transonic flow. -
ESDU 83018
Axial pressure coefficient distributions for spherically blunted secant ogive forebodies of fineness ratio 1.0, 1.5 and 2.0 at zero incidence in transonic flow. -
ESDU 89033
Pressure drag and lift contributions for blunted forebodies of fineness ratio 2.0 in transonic flow (M∞ ≤ 1.4).
-
ESDU 79004
-
Section 14 : Axisymmetric Forecowls - Wave Drag, Pressure Distribution
-
ESDU 94013
NACA 1-series geometry representation for computational fluid dynamics. -
ESDU 94014
Wave drag coefficient for axisymmetric forecowls at zero incidence (M∞ ≤ 1.5). -
ESDU 94015
Surface pressure coefficient distributions for axisymmetric forecowls at zero incidence (M∞ ≤ 1.5)
-
ESDU 94013
-
Section 15 : Design Optimisation
-
ESDU 99019
Constrained multivariate optimisation techniques for the design of aerofoil sections -
ESDU 99020
Examples of the application of constrained multivariate optimisation techniques to the design of aerofoil sections. Design point: single, geometry variation: LE and TE flap deflection or camber line vars, initial aerofoil: RAE 2822 -
ESDU 99021
Examples of the application of constrained multivariate optimisation techniques to the design of aerofoil sections. Design point: dual, geometry variation: LE and TE flap deflection and camber line vars, initial aerofoil: RAE 2822, -
ESDU 00022
Example of the application of constrained multivariate optimisation techniques to the design of aerofoil sections. Design point: single, geometry var: LE and TE flaps, initial aerofoil: combat aircraft section, CFD: BVGK (viscous flow) -
ESDU 00023
Examples of the application of constrained multivariate optimisation techniques to the design of aerofoil sections. Design point: single, geometry var: LE and TE flaps, initial aerofoil: combat aircraft section, CFD: BVGK (inviscid), Euler code. -
ESDU 01024
Example of the application of constrained multivariate optimisation techniques to the design of aerofoil sections. Dual design point, upper and lower surface shape geometry, leading and trailing edge flap deflections, RAE 2822, Euler code and BVGK. -
ESDU 01025
Examples of the application of constrained multivariate optimisation techniques to the design of aerofoil sections. Design point: single, upper and lower surfaces geometry and camber line variations, initial aerofoil: NACA 0012 and RAE 2822, CFD: BVGK.
-
ESDU 99019
-
Section 16 : Surface Flow Visualisation
-
ESDU 03014
Surface flow visualisation in aircraft design
-
ESDU 03014
-
Section 17 : Extrapolating Wind-Tunnel Data
-
ESDU 05022
Extrapolating wind-tunnel data to full-scale Reynolds number. Part 1: Principles -
ESDU 07010
Extrapolating wind-tunnel data to full-scale Reynolds number Part 2: Procedures -
ESDU 09015
Extrapolating wind-tunnel data to full-scale Reynolds number Part 3: Example (i) Choice of simulation criteria and transition-strip locations for the F4 Wing/Body combination at the design condition -
ESDU 11006
Extrapolating wind-tunnel data to full-scale Reynolds number Part 3: Example (ii) Comparison of extrapolated low-Reynolds-number lift measurements on the F4 wing/body with high-Reynolds-number measurements -
ESDU 09016
Use of local-flow conditions for calculation of roughness-particle height in transition strips on wings -
ESDU 14007
Selection of roughness bands to induce boundary-layer transition in wind-tunnel testing -
ESDU 12006
Method to determine surface finish required to minimise local skin friction in the presence of a turbulent boundary layer.
-
ESDU 05022
-
Section 18 : Wind Tunnel Interference
-
ESDU 95014
Upwash interference for wings in solid-liner wind tunnels using subsonic linearised-theory.
-
ESDU 95014
-
Section 19 : Flow Measurement
-
ESDU 16001
A practical guide to turbulence and flow measurement by thermal anemometry (CTA), laser-Doppler anemometry (LDA) and particle-image velocimetry (PIV)
Part 1: Overview and Selection of Measurement Technique -
ESDU 16002
A practical guide to turbulence and flow measurement by thermal anemometry (CTA), laser-Doppler anemometry (LDA) and particle-image velocimetry (PIV)
Part 2: constant-temperature anemometry -
ESDU 17008
A practical guide to turbulence and flow measurement by thermal anemometry (CTA), laser-Doppler anemometry (LDA) and particle-image velocimetry (PIV)
Part 3: laser-Doppler anemometry -
ESDU 17009
A practical guide to turbulence and flow measurement by thermal anemometry (CTA), laser-Doppler anemometry (LDA) and particle-image velocimetry (PIV)
Part 4: particle-image velocimetry
-
ESDU 16001
-
Section 20 : Aircraft Design
-
ESDU 21001
Guidance on the selection of aerodynamic methods to use at different stages of civil aircraft design -
ESDU TM 207
ESDU TECHNICAL MEMORANDUM
Concept and preliminary design
Examples of applying rapid aerodynamic analysis tools to three classic historical configurations designed to similar requirements
-
ESDU 21001
This Series is complemented by the following software:
Name | Title | |
---|---|---|
Toolbox ASTEROID |
Aircraft Surface Tolerances for Enhanced Repair, Operations and Design
See Data Items:
ASTEROID
|
Run |
Toolbox ASTEROID fp |
Aircraft Surface Tolerances for Enhanced Repair, Operations and Design - Flat Plate
See Data Items:
ASTEROID
|
Run |
Name | Title | Type |
---|---|---|
A8703 |
A method of determining the wave drag and its spanwise distribution on a finite wing in transonic flow
See Data Items:
87003
|
ESDUpac |
A9514 |
Upwash interference for wings in solid-liner wind tunnels using subsonic linearised-theory.
See Data Items:
95014
|
ESDUpac |
contourbody |
A program to generate Mach number contours around a body.
See Data Items:
10014
|
ESDUpac |
fusegen |
A program to generate a generic fuselage geometry.
See Data Items:
10014
|
ESDUpac |
tvkbody |
A program to generate flow-fields around a body.
See Data Items:
10014
|
ESDUpac |
VGKD |
VGKD (VGK design)
See Data Items:
99032
|
ESDUpac |
VGKE |
VGK applied to estimation of excrescence drag
See Data Items:
98031
|
ESDUpac |
VGKSF |
VGKSF (VGK simple flaps)
See Data Items:
01033
|
ESDUpac |
VGK |
VGK Aerofoil Method.
See Data Items:
96029
|
ESDUpac |
E1809 |
Turbulent boundary layer profile generator.
See Data Items:
18009
|
Excel VIEWpac |
ECRIT1 |
Calculation of Roughness Particle Height in Transition Strips (Flat Plate)
See Data Items:
14007
|
Excel VIEWpac |
ecrit2 | Calculation of Roughness Particle Height in Transition Strips (Flat Plate) | Matlab VIEWpac |
FPFBL |
Matlab: A program to calculate the displacement thickness over a wing.
See Data Items:
11007
|
Matlab VIEWpac |
SURFIN |
Method to determine surface finish required to minimise local skin friction in the presence of a turbulent boundary layer.
See Data Items:
12006
|
Matlab VIEWpac |
FP | Full-potential method for three-dimensional wings and wing-body combinations - inviscid flow. | Windows VIEWpac |
vfpanalysis |
VFP Analysis Program
See Data Items:
21002
|
Windows VIEWpac |
vfph | VFP viscous full-potential wing/body method | Windows VIEWpac |
W0315 |
VGK for Windows
See Data Items:
03015
|
Windows VIEWpac |