Aerodynamic Modification Doesn't Have to be Expensive or Complicated
Reading
through a Youtube post recently on the perceived roadblocks to
aerodynamic modification, I was disheartened to see many commenters espouse the
idea that effective mods require huge expenditures of money and time, lots of trial
and error, or won’t be effective at (legal) road speeds and therefore aren’t
worth doing. These attitudes couldn’t be more wrong: aerodynamic modification
of road cars can be done very simply and cheaply, and the results can be
dramatic.
Myth:
To effectively modify your car’s aerodynamics requires a powerful computer and
CFD or thousands of dollars’ worth of wind tunnel time.
Reality:
CFD and wind tunnels
are the two test environments most amateurs are somewhat familiar with and put
a lot of faith in. However, there are huge problems with both of these, as I’ve
intimated before in several posts.
CFD, or computational
fluid dynamics, uses mathematics to model airflows. This can be a very useful
tool in the initial development phase of a new car design, for example, since
it requires only a digital model of the vehicle rather than a physical mockup
or test buck. Lots of iterations can be tested in relatively short time to
decide on the best designs for further development.
However (and that’s a huge “however”), CFD
is not a 100% accurate simulation of real airflows. In order to reduce the equations
of fluid motion to something solvable by a computer in a reasonable amount of
time, significant simplifying assumptions have to be made. In low-speed
aerodynamics (such as automotive), these assumptions reduce the number of
variables from 7 to 4: pressure and three components of velocity. Temperature,
density, and viscosity are assumed constant. In reality, these vary. And while
they may not vary much, by assuming any change in these variables is negligible,
this removes CFD simulations a step back from reality.
Then, we
get to the way CFD solves equations. Fluids behave continuously; that is, their
properties vary on a continuum that by nature does not allow discrete (step/unit)
changes. Computers can only work with discretized information. So, the digital environment
around the car must be divided into discrete cells, where the fluid properties
are assumed constant within each cell and vary discretely at cell boundaries,
in order for a computer to be able to solve for airflow behavior. This is fundamentally
different from reality, perhaps even more so than the assumption of temperature,
viscosity, and density as constant, and is the primary reason that CFD
simulations—even very high-quality ones from reputable software companies or
manufacturers—must always be taken as predictors of real-world airflow behavior
and not real themselves.
The way computers solve the coupled partial differential equations (known as the "Navier-Stokes equations" for their discoverers) that describe moving fluids also necessitates approximation, as no analytical solutions exist. Instead, these equations are solved numerically or iteratively, over a series of small but discrete timesteps. Over these processes, errors crop up. Comparison of simple aerodynamic problems for which analytical solutions exist, such as the velocity and altitude over time of a missile launched from the ground, show as much as 10% error in predicted range when solved numerically.
Finally, the
digital model itself is only an approximation of a real car and, depending how
much the geometry has been simplified, the real thing may behave very
differently. Surface finishes and imperfections, panel gaps, internal flows and
leakages, details such as badging or fasteners—none of these things appear in
amateur CFD. Your typical CAD model grabbed online will have perfectly smooth
surfaces, a flat underside, no radiator or engine bay, no passenger compartment
openings, smooth cylindrical tires, perhaps even no door handles, antenna, or
windshield wipers. On a real car in the real world, airflows are affected by
parameters as seemingly insignificant as the tread design and sidewall
patterning on the tires.
Wind
tunnels might seem like a better option, then, but they have drawbacks too. The
first problem is dealing with the ground: a real car driving on a road has a speed
relative to the ground, and many wind tunnels—especially those affordable
enough for amateurs to book time—do not have moving ground planes to simulate
this effect. Even those tunnels that do typically use a system of 5 belts, one
below each wheel in addition to a large central belt. That might seem like a
good representation of a road, except a road extends indefinitely in front of
and behind the car and exists between the front and rear wheels, where the
belts do not. In stationary floor tunnels, the boundary layer that develops on
the floor is typically suctioned off a small distance in front of the car, but since
the “ground” isn’t moving at all under the car this still introduces error.
Further,
wind tunnels constrict the airflow around the car to some degree by necessity
of having walls to contain and direct the moving air. Even in tunnels with a
large test section (the area where the car is placed), this removes the
simulation another step from real flows which are unconstrained except in
certain circumstances such as a highway lined with Jersey barriers and sound
walls or a mountain tunnel, for example. Again, wind tunnels available to
amateurs are usually worse in this regard; their blockage ratios (the ratio of
the car’s frontal area to the tunnel’s) are quite high. Some have movable
ceiling panels that can be positioned parallel to the expected streamlines
around the car, but these are only guesses and, since they are solid
walls, they only approximate streamlines (sort of the opposite of the potential
flow problems I explained here).
Then,
there’s the question of whether you will test a real car or a model. The same
problems with model fidelity apply here as in CFD; additionally, a lot of wind
tunnel testing is done on scale models where, unless flow speed is increased
commensurately (which brings its own problems with the incompressible
assumption as speeds go up), airflows observed in the tunnel do not
replicate the actual flow over the real car. This is especially a problem of
the popular “desktop” wind tunnels, which frankly shouldn’t be bothered with if
you are interested in modifying your real car. The smallest models used by
manufacturers for wind tunnel development are about 3/8 scale; any smaller and
compressibility will affect results. Desktop tunnels are usually sized for 1/18 or 1/24-scale—so small as to be useless, and they come nowhere close to achieving
the flow speed that would be required for similarity of results to a real car
(at the speeds required, these small tunnels would be transonic or supersonic
anyway, behaving completely different to the flow around a real car at highway
or even racing speeds).
Finally,
there is the question of turbulence and flow direction. Wind tunnels usually
use some straightening matrix that allows for a small degree of unavoidable
turbulence in the flow; real flows vary wildly in this regard. Most amateur
wind tunnel testing is also done at 0° yaw, that is, airflow approaching the
car from directly head on; the smaller affordable tunnels, in fact, don’t have
enough room even to turn the car and simulate yawed flow. Try and remember the
last time you drove your car on an absolutely windless day, with no other
traffic, on a perfectly flat road with no buildings, curbs, light poles, road
signs, foliage, etc. in any direction. That’s the environment a wind
tunnel simulates. It doesn’t exist in the real world.
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