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Race Car Wing in Ground Effect
Wing and Image, height=1 in.How to maximize downforce while keeping wing area at a minimum?
MultiElement Airfoils is an innovative software package written to run on an ordinary PC that is letting race car designers and engineers do just that. Automotive engineers use it to estimate the correct dimensions and spacing of wing elements that will provide the best performance for a given racing scenario. The software is easy-to-use and does not require in-depth knowledge of computational fluid dynamics (CFD) or mathematics. MultiElement Airfoils can solve a problem in just seconds on an ordinary Windows PC.

The following example shows how the software can be used to estimate the downforce and drag acting on a wing that is only inches from the ground. The software also has the capabilities of analyzing wings with multiple elements such as a main wing and guide vane.

Race Car Wing in Ground Effect
MultiElement Airfoils Graph of Pressure Coefficient

Problem
Estimate the downforce and drag acting on a race car wing travelling at 120 mph. Assume the wing has a chord length of 12.0 inches and span of 6.0 feet. In addition, assume the cross section of the wing is a NACA 2412 airfoil adjusted to an angle of attack of -5.0 degrees. Provide solutions for wing heights of 12.0, 6.0, 3.0 and 1.0 inches above the ground.

Solution
This problem can be addressed using MultiElement Airfoils. Because the wing is so close to the ground, we cannot neglect ground effect. MultiElement Airfoils can be used to model ground effect using the method of images.

We start the solution by running MultiElement Airfoils and selecting the NACA 2412 wing as the "real" airfoil. Since the spoiler is an upside down wing, we use the handy built-in option to "flip" the airfoil as shown in the dialog screen below.

Airfoil Dialog Screen
MulitElement Airfoils Dialog Screen
for Selecting Airfoils

Although MultiElement Airfoils allows us to drag the airfoil into position, the option is also available to set a precise location for the shape. Before leaving the dialog screen, we select an airfoil length of 12.0 inches, a horizontal location of 0.0 inches, a vertical location of 12.0 inches and an angle of rotation of -5.0 degrees.

The "image" airfoil is identical in shape to the "real" one. Since the reflection is in the ground plane, the airfoil is not flipped. For the initial run, it is located at a horizontal location of 0.0 inches, a vertical location of -12.0 inches and an angle of rotation of +5.0 degrees. This is shown in the diagram below.

Airfoils, 12 inches apart
MultiElement Airfoils Editor

Results
The following results are obtained by varying the vertical location of the "real" and "image" airfoils. The table shows that as the distance from the ground is decreased, the lift and drag increase. Can this conclusion be made for any airfoil? Please note that the lift and drag were computed using airfoil data and does not include 3D effects.

Height

Cl

Cd

Lift (lbs)

Drag (lbs)

12.0 in

-0.928

0.00941

-204

2.08

6.0 in

-1.09.

0.0115

-240

2.53

3.0 in

-1.52

0.0181

-336

4.0

1.0 in

-3.60

0.412

-796

91.0

The figure shows the pressure coefficient at surface of the airfoil as the height above the ground is decreased.


Surface Pressure Coefficient

About MultiElementAirfoils
MultiElement Airfoils is an interactive Windows Software Tool for simulating multiple airfoils within close proximity of each other. It is the easiest way to estimate the lift and drag acting on slotted flaps, slats, biplanes, airfoils in ground effect, multielement spoilers, hydrofoils, mast-sail interactions and other airfoil configurations.  More Information.

How to Buy
Please click here for more information about MultiElement Airfoils.

Software Comparison Chart
Glider WingTail WAPlus VisualFoil MultiElement MultiSurface
Airfoil Analysis

No

Yes

Yes

Yes

Yes

Yes

Airfoil/Plain Flap

Yes

Yes

Yes

Yes

Yes

Yes

Airfoil/Slotted Flap

No  

No

No

No

Yes

3-D/Camber

Multiple Airfoils

No

No

No

No

Yes (20)

3-D/Camber

Airfoil Stall Prediction

Yes

Yes

Yes

Yes

Yes

Yes

3-D Wing (Tapered)

Yes

Yes

Yes

No

No

Yes

3-D Wing (General)

No

No

Yes

No

No

Yes

Biplanes

Yes

Yes

No

No

2-D

Yes

Multiple 3-D Wings

2

2

No

No

2D

Yes (30 )

Wing & Tail

Yes

Yes

No

No

Yes (2D)

Yes

Wing & Canard

Yes

Yes

No

No

Yes (2D)

Yes

Ground Effect

Yes

Yes

No

No

Yes

Yes

Atmospheric Table

Yes

Yes

Yes

Yes

Yes

Yes

Water Properties

Yes

Yes

Yes

Yes

Yes

Yes

NACA Airfoil Library

Yes

Yes

Yes

Yes

Yes

Yes

Custom Airfoils

Yes

Plus!

Yes

Yes

Yes

Yes

More Information

more...

more...

more...

more...

more...

more...

About Dr. Hanley
Dr. Patrick E. Hanley, is the owner and founder of Hanley Innovations, a small business specializing in the development of aerodynamics and fluid dynamics simulation software for education and industry. Dr. Hanley earned his B.S. degree (summa cum laude) in aerospace engineering from Polytechnic Institute of New York and his S.M. and Ph.D. degrees from the department of Aeronautics and Astronautics of Massachusetts Institute of Technology (MIT). He also completed a minor in the area of management of innovation and technology at MIT's Sloan School of Management.

After graduating from MIT, Dr. Hanley joined the Mechanical Engineering faculty at the University of Connecticut where he formulated and taught courses in aerodynamics, compressible fluids, introductory fluid mechanics and heat transfer. As a faculty member, he won the highly competitive National Science Foundation Research Initiation Award, the NASA-ASEE Summer Faculty Fellowship and three consecutive research awards from NASA Lewis Research center to study compressible viscous flows in turbomachinery using pseudospectral methods. This research led to the successful education of four (4) Ph.D students and four (4) Masters degree students. In addition Dr. Hanley can be credited with a number of publications including the pioneering work in multi-domain pseudospectral methods for compressible viscous flows entitled "A Strategy for the Efficient Simulation of Viscous Compressible Flows using a Multi-domain Pseudospectral Method" which can be found in Journal of Computational Physics, Vol 108, No. 1, pp. 153-158, September 1993.

As owner and chief software author of Hanley Innovations, Dr. Hanley has written a number of software packages including AirfoilBrowser,  Airfoil Organizer, Science Graphs, VisualFoil, ModelFoil, Aerodynamics in Plain English, Center of Gravity Calculator, WingAnalysis, SmockSoft, PerpeturalPaper amongst other titles.

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