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Aircraft Aerodynamic Characteristics - ITLiMS

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The Faculty of Power and Aeronautical Engineering of Warsaw University of Technology – <strong>Aircraft</strong> Design Department<br />

Project 4 – <strong>Aircraft</strong> <strong>Aerodynamic</strong> <strong>Characteristics</strong><br />

In this project student has to calculate aerodynamic characteristics of the aircraft.<br />

Methods utilized are mix of analytical and computational analysis. Part of the software can<br />

make only inviscid analysis and it has to be completed by analytical methods and 2D viscous<br />

analysis.<br />

In the manual to the project first the software is introduced. Next analytical methods are<br />

revised with sufficient equations taken from flight mechanics. In the equations some<br />

assumptions are needed different than in the flight mechanics, because of making part of the<br />

calculations with aerodynamic software. After that requirements to finish the project are<br />

stated.<br />

1. Introduction to the software<br />

AVL - Vortice lettice method software for aerodynamic and aircraft dynamic<br />

stability analysis, originally written by Mr. Mark Drela and Mr. Harold<br />

Youngren, is available free on GPL license on web page:<br />

http://web.mit.edu/drela/Public/web/avl/.<br />

Although, the program has text user interface and simple graphics, it<br />

demonstrated it’s usefulness and is still improved and updated. Model<br />

sailplanes designed with use of AVL can be seen on:<br />

http://www.charlesriverrc.org/articles.htm.<br />

AVL first steps:<br />

- Binary version of the program appropriate for the system they use, example:<br />

avl327.zip (name of the downloaded file may change with the versions). After<br />

unpacking the program is ready to use without any installation.<br />

- Text documentation for AVL avl_doc.txt, which contains detailed description of AVL<br />

functionality.<br />

- Short tutorials session1.txt and session2.txt. It is strongly recommended to go through<br />

this tutorial to get familiar with the software.<br />

- Files with run cases runs/ directory, which contain example geometry of planes, mass<br />

distributions, flight conditions (run files) and other.<br />

Jacek Mieloszyk, Agnieszka Kwiek – Materials for project for flight dynamics 1


The Faculty of Power and Aeronautical Engineering of Warsaw University of Technology – <strong>Aircraft</strong> Design Department<br />

Fig. 1 Example of computations in AVL<br />

PANUKL - Panel method software for aerodynamic analysis developed under supervision<br />

of dr Grabowski at <strong>Aircraft</strong> Design Department on The Faculty of Power and<br />

Aeronautical Engineering. The software is available free. It has user-friendly<br />

GUI for grid preparation, analysis and post processing. The software,<br />

examples and manual is available at:<br />

http://www.meil.pw.edu.pl/add/ADD/Teaching/Software/PANUKL<br />

PANUKL first steps:<br />

- Download one of the versions on Windows or Linux and install on your system.<br />

Opening it for the first time you will be asked to create work dirs for PANUKL. It’s an<br />

important step, because if the work dirs won’t be created program may not be able to<br />

make aerodynamic analysis.<br />

- Manual for PANUKL may be opened from help menu. Remember to set English<br />

language.<br />

- Open and compute examples attached to PANUKL.<br />

- In case of computations failure logs can be found in “C:\Users\ComputerUser\.panukl”<br />

(Windows), “home\.panukl” (Linux).<br />

Jacek Mieloszyk, Agnieszka Kwiek – Materials for project for flight dynamics 2


The Faculty of Power and Aeronautical Engineering of Warsaw University of Technology – <strong>Aircraft</strong> Design Department<br />

Fig. 2 Example of computations in PANUKL<br />

XFOIL - 2D panel method for viscous aerodynamic analyze of airfoils. The software<br />

includes boundary layer analysis and computes all components of airfoil<br />

drag. Examples and manual is available at:<br />

http://web.mit.edu/drela/Public/web/xfoil/<br />

XFOIL first steps:<br />

- Binary version of the program appropriate for the system they use, example:<br />

xfoil6.96.zip (name of the downloaded file may change with the versions). After<br />

unpacking the program is ready to use without any installation.<br />

- Text documentation for XFOIL xfoil_doc.txt<br />

- Short tutorial sessions.txt . It is strongly recommended to go through this tutorial to<br />

get familiar with the software.<br />

Jacek Mieloszyk, Agnieszka Kwiek – Materials for project for flight dynamics 3


The Faculty of Power and Aeronautical Engineering of Warsaw University of Technology – <strong>Aircraft</strong> Design Department<br />

Tips & Trics:<br />

Fig. 3 Example of computations in XFOIL<br />

- Reading manuals is unavoidable, but it is possible to use the software efficiently after<br />

one day of learning.<br />

- If you start AVL or XFOIL from script or shell you will be able to read why it crashed<br />

even if it crashed.<br />

- Read what is displayed on screen, it might tell you about your mistakes.<br />

- Type “?” to get list of available commands in AVL and XFOIL.<br />

- Modifying example files is butter than building your own from the beginning. This<br />

let’s you avoid mistakes in the text files.<br />

- Make small changes in the configuration files and control many times if you are still<br />

able to load them. Make backup of files from time to time.<br />

- Pay attention to units. It is advised to use SI units: meters and kilograms.<br />

Jacek Mieloszyk, Agnieszka Kwiek – Materials for project for flight dynamics 4


The Faculty of Power and Aeronautical Engineering of Warsaw University of Technology – <strong>Aircraft</strong> Design Department<br />

2. Flight mechanics methods revision<br />

Estimation of friction drag<br />

Total aircraft drag force consists of four components: pressure drag, friction drag,<br />

induce drag and wave drag. This project assumes that a Student estimates characteristic which<br />

include drag coefficient of whole airplane. Some components of drag have to be computed,<br />

other have to be estimated analytically.<br />

Both 3D programs are capable of computing only inviscid flow, therefore friction drag<br />

of an airplane has to be estimated analytically from http://meil.pw.edu.pl/zm/ZM/ml_3l_en<br />

with some modifications of the way of using equations. Part of the equations estimating the<br />

pressure drag has to be omitted because this part is computed numerically. Moreover in the<br />

analytical equations minimum drag of the wings includes friction drag and pressure drag.<br />

Only friction drag should be added, because pressure drag is calculated by AVL or PANUKL.<br />

To obtain the friction drag XFOIL can be used. The procedures in more detail are described<br />

below.<br />

Fuselage and nacelles<br />

Pressure drag of fuselage is calculated numerically and only friction drag has to be<br />

estimated from analytical formula (1). Value ηf is called slenderness coefficient or aspect ratio<br />

coefficient of a fuselage. It is used to estimate pressure drag of the fuselage dependent on the<br />

shape of the fuselage. Since geometry is defined in software this part of drag is already<br />

calculated numerically and value of ηf has to be 1. Value ηMa is correction of fuselage drag due<br />

to air compressibility effect. If airplane flies slow effect of air compressibility don’t have to<br />

be considered. Otherwise it should be calculated numerically by setting appropriately solver.<br />

In the equation (1) ηMa has to be always 1.<br />

Wing and horizontal stabilizer<br />

S<br />

C C <br />

Df<br />

friction<br />

wet<br />

f Ma<br />

(1)<br />

S f<br />

In case of wing and horizontal stabilizer drag is described by equation (2). Part of drag<br />

dependent on lift coefficient is well calculated numerically. Only part of the minimum drag<br />

and drag of gaps in the wing has to be included analytically. Minimum drag still contains<br />

components of friction and pressure drag.<br />

Vertical Stabilizer<br />

C<br />

C <br />

DH DH<br />

min<br />

C<br />

Dgap<br />

2<br />

LH<br />

C<br />

<br />

<br />

It is assumed that vertical stabilizer adds minimum drag, while plane isn’t turning and<br />

doesn’t produce induced drag (3). Minimum drag again contains components of friction and<br />

pressure drag.<br />

DV<br />

C DV CDgap<br />

C <br />

eH<br />

min (3)<br />

Jacek Mieloszyk, Agnieszka Kwiek – Materials for project for flight dynamics 5<br />

(2)


The Faculty of Power and Aeronautical Engineering of Warsaw University of Technology – <strong>Aircraft</strong> Design Department<br />

Other Parts – Parasite Drag<br />

Small parts drag, that aren’t modeled in the airplane computational grid, should be<br />

estimated according to flight mechanics guide.<br />

Estimation of friction drag<br />

For minimum drag of wings (4) only friction drag is needed because pressure drag is<br />

computed numerically and here should be equal 0. Assuming 2D flow on the wing the drag<br />

coefficient computed from XFOIL will be approximately equal to 3D wing. It is possible to<br />

obtain only friction drag after XFOIL analysis.<br />

Airplane drag<br />

C D CDfriction<br />

CDpressure<br />

min (4)<br />

Drag coefficient of a whole airplane is (5). Computations should end for maximum lift<br />

coefficient achieved by the airfoil used in the airplane. Corrections for the maximum lift<br />

coefficient can be made from flight mechanics.<br />

S S S<br />

C <br />

S S S<br />

f<br />

V<br />

H<br />

C Dfriction wing CDfuselage<br />

CDV<br />

CDH<br />

CDparasite<br />

Dairplane CD<br />

3D _ analysis _<br />

(5)<br />

3. Flaps analysis<br />

The last part of the Project is the estimation of the lift coefficient due to flaps or other<br />

super lift devices. The minimal airspeed in landing configuration should be checked and<br />

compared with agreed earlier assumptions or Airworthiness regulations (eg. JAR 23.49 – Stall<br />

speed). This part can be computed analytically or numerically by appropriate geometry<br />

change due to flap deflection.<br />

4. Project requirements<br />

Download one of the 3D programs (AVL or PANUKL). Basing on user guide and<br />

available examples prepare numerical model of your airplane. Next step is calculation of<br />

aerodynamic characteristic (lift coefficient, drag coefficient and pitching moment coefficient<br />

as a function of angle of attack) using previously selected program. Next, use XFOIL to<br />

calculation wing friction drag. For rest components of the aircraft make analytical calculations<br />

of friction drag. Finally calculate complete airplane’s drag using equation (6).<br />

The result of this part of the project should be basic aerodynamic characteristics of the<br />

whole aircraft: CL(Alfa) CD(Alfa) Cm(Alfa), polar drag CD(CL) Fig. 4. Results of<br />

computation have to be presented in numerical and graphical form as well including example<br />

of pressure distribution on the aircraft. All computations and assumptions must be<br />

documented clearly. The report should be presented numerical and analytical part of<br />

calculations.<br />

Jacek Mieloszyk, Agnieszka Kwiek – Materials for project for flight dynamics 6


The Faculty of Power and Aeronautical Engineering of Warsaw University of Technology – <strong>Aircraft</strong> Design Department<br />

Fig. 4 <strong>Aerodynamic</strong> characteristics<br />

Jacek Mieloszyk, Agnieszka Kwiek – Materials for project for flight dynamics 7

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