The Exploration of Airfoil Sections to Determine the Optimal Airfoil for Remote Controlled Pylon Racing by Michael R. DeRosa A Project Proposal Submitted to the Graduate Faculty of Rensselaer Polytechnic Institute In Partial Fulfillment of the Requirements for the degree of MASTER OF SCIENCE Major Subject: MECHANICAL ENGINEERING Approved: ____________________________________ Ernesto Gutierrez-Miravete, RPI Thesis Advisor Rensselaer Polytechnic Institute Hartford, CT Abstract In remote controlled pylon racing, the Quickie 500 class of airplanes has 500 square inches of wing area, and with a Jett 0.40 in displacement methanol fueled engine, has a top speed of about 150 miles per hour. They are flown 10 times around an oval course marked by 3 pylons, for a total of 2 to 2.5 miles. These planes lose a significant amount of speed in the turns due to drag from higher angles of attacks around the turns at 30G’s. This project will explore several airfoils to find the optimal airfoil that will minimize the loss of speed of turns while having low drag for the straight-aways. Airfoil selections include NACA, particularly the popular 66-012, Martin Hepperle, Selig, Clark Y, and Eppler. Raw wind tunnel and analytical data for each airfoil will be used to calculate the finite wing drag for level and turning flights. The blending of 2 airfoil sections to obtain the best of both will be explored as well as flaps to increase lift during the turns. Finally, using Maple and Excel, each airfoil section will be run through a simulated race, and the airfoil section that completes the race in the shortest amount of time is the optimal airfoil for Quickie 500 pylon racing. Introduction/Background Radio controlled pylon racing has been around since the 1960’s, and now there are 3 distinct classes: sport Quickie 500 (120 mph), AMA Quickie 500 (150-160 mph), and Quarter 40 (180-200 mph). The only difference between sport and AMA Quickie 500 is that the former uses the 1.25 horsepower Thunder Tiger Pro .40 engine, while the latter uses a 1.7 horsepower Jett .40 engine. Both are powered by methanol fuel. The .40 signifies the size of the engines, at 0.40 cubic inch total displacement. The Jett is able to gain a 0.45 horsepower advantage through the use of advanced timing. There is always a search for an edge to design these planes to fly as fast as possible, while still being within rules. The official rules posted on the Academy of Model Aeronautics’ website impose the restriction on Q-500 airplane wings: Minimum projected wing area of 500 square inches Wingspan range of 50-52 inches Minimum airfoil thickness of 1.1875 inches The purpose of these rules is to enforce equality among each racer. It also keeps the speeds down and to allow the planes to maintain structural integrity in turns. Only Jett .40 engines are allowed in the AMA class. There also are rules imposed on the fuselage size and tail thickness, but they have been mostly optimized through years of experience. The tail is typically a V-tail configuration, and they have been optimized for size and stability. Any further optimization on the tail and fuselage will yield an insignificant speed benefit due to the reduction of drag. The wing is the largest contributor of drag in all phases of flight, so there is room for improvement there, particularly the airfoil section. Hence, the Q-500 rules provide sufficient constraint on design that lends the airplane to be an ideal airfoil test bed. The wing area is fixed at 500 square inches, and the minimum span is 50 inches, which leads to an aspect ratio of 5. With an aspect ratio of 5, the chord is 10 inches. With a minimum airfoil thickness of 1.1875 inches, the airfoil thickness to chord ratio, t/c is fixed at 0.11875. The chord and t/c are important inputs for the selection of airfoil design and the lift and drag calculations. Figure 1 below shows a typical Q-500 racer, a Viper 500, which is sold by Great Planes. Note the constant chord wing and the V-tail. Figure 1: A typical Quickie 500 pylon racing airplane In pylon racing, four racers take off at the same time, fly around a course ten times, and the first plane that crosses the finish line wins. Pilot skill being equal, the fastest plane wins, obviously. This isn’t a perfect world, and pilot skill does vary, but having a fast plane certainly does help to win races. A typical racing course is laid out below in Figure 2. 475.5 ft 100 ft Figure 2: A typical racing course As seen in Figure 2, a typical course has 3 pylons, with 2 being 100 feet apart, while the third is 475.5 ft. from the centerline of the 2. The perimeter is 951 feet, translates to 2 miles when flown for 10 laps in a counter clockwise direction. Now, it is an inefficient flight path to fly a triangular course as shown, but rather, an oval flight path is more typical, and the overall distance covered is closer to 2.5 miles. The start/finish line is 100 ft. from the twin pylons. All planes take off within 0.5 seconds of each other and immediately turn at the far pylon. The way the course is laid out, there are 2 turns per lap, for a total of 20 turns between straight and level flight. There are significant penalties if the planes turn inside the pylons, so this scenario won’t be considered here. Problem Description While entering the 50 ft. radius turns at 150 mph, the airplane experiences 30G’s of centripetal acceleration. This leads the wings to adjust to a higher angle of attack to create more lift to keep the plane in place while turning. An increase of drag from a higher angle of attack will significantly slow the plane down in the turns. The favorite airfoil for pylon racing, the laminar NACA 66-012 (Figure 3), typically loses 15-20 miles per hour in the turns. This airfoil is desirable for low drag in straight and level flight, at the cost of high drag in the turns. On the other hand, a flat bottomed Clark Y airfoil (Figure 4) has a higher lift to drag ratio due to its high camber. The high L/D ratio of the Clark Y reduce loss of speed in the turns, but its high form drag will not allow it to attain sufficient speed in the straightway. Figure 3 NACA 66-012 Airfoil Figure 4 Clark Y Airfoil There are several different newer airfoils created by Hepperle, Selig, and Eppler that may have the benefits of both. Particularly, Hepperle and Eppler have design airfoils especially for pylon racing, and they are good candidates. A formal evaluation of all possible pylon racing airfoils has not been done to this date. A wing comprised of two different types of airfoils may have the best of both worlds, as well as flaps deflected at small angles during the turns. Those configurations need to be assessed as well. The anticipated speed benefit of using the optimal airfoil over the NACA 66-012 for this application will be mostly likely small. Even then, a 5 mph speed benefit coming out of the turns is huge, which will allow the plane to jump ahead of the competition while coming out of turns. Methodology/Approach I will select several airfoils created by NACA, Hepperle, Selig, and Eppler, and Clark. The raw experimental data can be found in Theory of Wing Sections, the University of Illinois online airfoil database, and from XFOIL. XFOIL is a program created by Dr. Mark Drela of MIT, which uses viscous flow equations to estimate the coefficients of lift and drag of an airfoil based on its shape. Next, I will use the raw data to determine the total lift and drag of each airfoil in straight and level flight and in turning flight using equations from aerospace engineering textbooks. Using engine performance parameters, I will determine the maximum speed and amount of speed loss in turns for each airfoil. Once all of the airfoil data has been calculated, I will determine the time to complete 10 laps while accounting for speed loss in turns. I will derive the equations Maple and tabulate the result in an Excel spreadsheet. To simplify calculations, several assumptions will be made. The fuselage and tail will be the same for each wing of a particular airfoil, which will allow me to ignore form, parasite, and interference drag of those parts. The only variable for each plane is the airfoil. The aspect ratio and airfoil thickness has already been determined by the AMA rules. The engine/propeller performance will be the same for each case as well. Standard sea level atmospheric conditions will be assumed. Resources Required The raw airfoil data are readily available from books such as Theory of Wing Sections and the University of Illinois online database. I will download the latest copy of XFOIL and learn to use the program for this purpose. All required calculations are readily available in aerospace engineering textbooks such as Fundamentals of Aerodynamics and Introduction to Flight. Methods of calculation of performance can be found in books such as Aerodynamics of Wings and Bodies and Theory of Flight. My model airplane reference is Model Airplane Aerodynamics by Martin Simons. I also have access to Maple at RPI to assist me in calculation the 10 lap time of each airfoil. Expected Outcomes The goal of this project is to obtain an airfoil(s) section that will yield the lowest 10 lap time by finding an airfoil that has the least amount of drag in straight and level flight and in turns. By only having the airfoil cross section as the only variable in the pylon racing airplane, the performance benefit or loss of each airfoil can be easily be compared. Milestone/Deadline List The deadline list has been provided by Dr. Gutierrez-Miravete for RPI Master’s projects, and will be adhered to. The schedule to complete this project by April 20th is as follows: February 3: Submit tentative proposal draft February 10: Final project proposal and PowerPoint presentation of project February 24: First Progress Report, Airfoil data collected March 9: Second Progress Report March 23: Final Draft submitted to Dr. Gutierrez-Miravete, All calculations completed and tabulated April 6: Preliminary Final Report submitted to Dr. Gutierrez-Miravete for his review April 20: Final project and PowerPoint presentation due for final approval References 1. Abbot, Ira H, Von Doenhoff, Albert E, Theory of Wing Sections, Dover Publications, 1959. 2. Anderson, John D., Fundamentals of Aerodynamics, Third Edition, McGraw-Hill, 2001. 3. Anderson, John D., Introduction to Flight, Fourth Edition, McGraw-Hill, 2000. 4. Ashley, Holt, Landahl, Marten, Aerodynamics of Wings and Bodies, Addison-Wesley Publishing Company, 1965. 5. Simons, Martin, Model Aircraft Aerodynamics, Fourth Edition, Special Interest Model Books, 1999. 6. Von Mises, Richard, Theory of Flight, Dover Publications, First Edition, 1959. 7. AMA Pylon Racing Official Rules, website, http://www.modelaircraft.org/files/20112012RCPylonRacing2JAEdit.pdf. 8. University of Illinois Airfoil Database, website, http://www.ae.illinois.edu/mselig/ads/coord_database.html.