General
Amherst High School
Amherstburg, Ontario, Canada, N9V 1Z8

DISCUSSION: The rocket car is propelled along the floor according to the principle stated in Isaac Newton's third law of motion, which states:
For an explanation and examples that demonstrate Newton's Third Law of Motion visit the Physics Classroom
|
|
|
|
|
|
|
|
|
Aerodynamics is a branch of physics that deals with the forces
exerted by air or other gases in motion. Aerodynamic is by far the
most significant factor affecting fuel consumption and power
requirements even at normal cruising speeds. For this reason, there
has been much interest in the aerodynamic shaping of all vehicles,
including standard production cars and trucks. Although the shape of
a vehicle is determined by the designer, the vehicle owner sometimes
unknowingly makes modifications that reduce the aerodynamic
effectiveness of the design. For example, the addition of a ski rack
of the opening of a window or sun roof can significantly reduce fuel
economy and general performance. I twill there fore be helpful to
both the mechanic and the driver to be familiar with the basic
principles involved in aerodynamic design.
Although the relationship that exists between the shape of a vehicle
and its performance has been known for a long time, it is only in
recent years that these principles have been applied systematically
to standard production cars. At one time the shape of the vehicle was
determined by automotive stylists who responded to whatever public
fashion demanded.
While the commercial success of a vehicle still depends a great deal
on the appeal, the ever-increasing cost of gasoline is making good
fuel economy an ever more decisive factor. Good looks and efficient
aerodynamics need not be in conflict with each other. The term
"functional styling", as applied to automotive design, is essentially
the successful blending of these two aspects, as well as comfort,
safety and overall efficiency. In addition to reducing weight (On a
medium-sized car the reducing of vehicle weight by 100kg results in a
drop in fuel consumption of approximately 5%.) proper aerodynamic
shaping, more commonly referred to as "streamlining", has been found
to be the most effective and least costly method of increasing fuel
economy and performance, especially at higher speeds. For this reason
all new vehicle designs first undergo extensive testing wind tunnels
before they are placed into production. Because of the very high cost
involved in producing a prototype car body, it is customary to begin
with a scaled-down model made of clay. This method also makes it much
easier to make any modifications that may be required in light of the
data obtained from the test. The airstreams, whose velocity can be
varied is generated by a powerful, propeller-shaped fan. To study the
airflow across the top and sides of the vehicle, as well as its
underside, jets of smoke are blown into the airstreams. The smoke can
be directed by nozzles into any area that is to be examined in
detail. Another method is to attach "steamers" of thread
or silk all over the body so that the entire flow pattern can be
studied at the same time. (Similar observations can be made by
watching the movement of water droplets or snowflakes along the
surfaces of the vehicle.) In some cases the whole car body, or a
scale model of it, is suspended fro wires. This makes it possible to
simultaneously study the airflow all around the vehicle and to
measure directly the amount of drag. The purpose of the whole
exercise is to arrive at the most advantageous compromise between
shape and function. As things turn out, more often than not designs
that are superior in aerodynamic terms also look quite pleasing to
the eye. For example, most people find the advanced designs of modern
aircraft very attractive.
To fully appreciate the importance of aerodynamics as applied to
motor vehicles it must be realized that, as driving speeds increase,
the power needed to overcome air drag multiplies at a very rapid
rate. This increase can be calculated by the formula below.
. As an example, let us apply this formula to a car whose engine has
to generate 18 HP to overcome the air drag at 80 km/h. (Since the
rolling friction of the wheels consumes a relatively small amount of
power, we shall ignore it in the present case. Already at 89 km/h,
air drag constitutes roughly 65% of the total resistance. At 100 km/h
it rises to approximately 75 %.) The power needed to double the speed
to 160 km is shown in the following example.
This is eight times the power needed to travel at 80 km! However, if
it were possible to reduce the drag by 25% we would need only 108 HP
and fuel consumption would be about one-quarter less than what it was
before. It is now obvious why the proper shaping and streamlining of
a car pays very significant dividends at little extra cost. The
example above also proves that a light foot on the accelerator pedal
is the most effective fuel saver yet devised.
In addition to increasing fuel economy and performance, automotive
aerodynamics also plays an important role in other related areas.
These include high-speed traction; sensitivity to crosswinds;
efficient cooling (engine, drive train, exhaust system, brakes and
ties); keeping the front windshield, the windows, the mirrors and the
headlights clean; combating windshield wiper lift (by attaching an
inverted winglet to the wiper); and last but not least, reducing wind
noise to a minimum.
The ideal aerodynamic shape of a vehicle would be that of a fish. The
least efficient design is that of a box-shaped transport truck (hence
the attempt to cut aerodynamic drag by mounting a spoiler on the roof
of the cab , as seen on many trucks used for long-distance hauling.)
Obviously, since neither of these two shapes is very practical, the
body of a passenger car must be a compromise between these two
extremes. The amount of drag that is generated by an object placed in
an airstreams is expressed by what is called the coefficient of drag,
or simple CD. If the drag of an object equals the force of the
airstreams directed against it, the coefficient of drag = 1. The CDs
of some typical shapes are shown below. As can be seen from these
examples, the DC may actually be higher than 1. The CD of the plate
is 1.5 because the vortex flow (swirls or eddies) behind the plate
result in additional drag. It is this kind of vortex flow that causes
the rear windows of station wagons to get dirty very quickly. By the
same token, it also explains why the vertical surface of the tailgate
makes for very inefficient aerodynamics. This equally applies to
large transport trucks where smooth airflow increases profits by
reducing fuel consumption.
|
|
|
|
|
Sometimes the drag created by these vehicles can actually be
observed, as when leaves and bits of paper are seen trailing behind
them. The engine must develop a considerable amount of horsepower to
overcome this drag. Needless to say, these additional "horses" prove
to be very thirsty indeed. (Race drivers often exploit this vortex
flow by driving in the "slip stream" of a competitor who is perhaps
too eager to stay ahead. By reducing the strain on the engine and
saving an extra pit stop for refueling, many a race has been won with
this simple but dangerous trick.)
The CD of the plate in the diagram to the right would approach 1 if
we were to taper its trailing side like that of the teardrop-shaped
object shown below it. However, there are mainly two reasons that
dictate against its use with conventional automobiles: the shape
would be impractical in terms of interior space and length and it
would also produce insufficient down force to provide good wheel
traction at high speeds. In fact, an automobile shaped in this
fashion at the top but flat at the bottom would turn into an airplane
wing. Since the air traveling over the hood, the top panel, and the
trunk has a much longer distance to go than the air forced below the
vehicle, a considerable amount of lift would be produced even at
normal cruising speeds.
Some faster cars are equipped with an air dam at the front end and a
spoiler at the rear as shown to the left.
, as well as very low side skirts (extended rocker panels) between
the wheel wells. This reduces the air-flow below the vehicle while
crating an additional down force at the top. A further advantage of
the rear spoiler is that it sends the air upwards before braking off
at the vertical tail of the vehicle. The rear spoiler may therefore
be viewed as a practical compromise between the teardrop design and
the box design, that is, a compromise between minimum drag on the one
hand and maximum interior space on the other. The airflow
characteristics of the "chopped" rear-end design featuring a spoiler
at the trailing edge of the vehicle is sometimes called the Kamm
effect after the aerodynamicist who first introduced the device.
As illustrated to the left , the most significant component of drag
is the fontal area of the vehicle. Hold the
cursor over the 4 Door Sedan, Sub-Compact and Sports Car to see their
Frontal Area and Coefficient of Drag (CD). However, because
the overall dimensions of a passenger car (height, width and length)
are pretty well fixed (given certain basic requirements, such as
interior space, engine size and trunk volume), efforts to improve its
aerodynamics are largely directed at obtaining the most advantageous
shape of its external surfaces. The primary objective is therefore to
make the body and the underside of the vehicle as "slippery" as
possible. Wherever possible, the automotive designer or
aerodynamicist seeks to avoid abrupt changes in the airflow that
would result in energy-consuming vortices and drag. The slant of the
grill, the opening of the radiator air intake, the slope of the hood
and the windshield, the flow pattern over the top panel and
especially the relatively sharp drop at the rear window and the deck
lid are crucial areas if drag is to be kept low. Even the shape of
the corner posts, the drip moulding, the outside mirror, the wheel
wells, the bumpers and other seemingly minor features are closely
examined for their aerodynamic effects. The air flow patterns below
indicate the air flow over the design features of a car.
|
|
|
|
|
|
Studies have shown that even reducing the gaps between adjoining
body panels, such as those around the doors, can result in very
significant reductions in drag. On the other hand, ski racks, sun
roofs and open windows were found to greatly increase the CD. Thus
the loss of fuel economy attributed to the installation of an air
conditioner could well be much less than that lost by an identical
car without an air conditioner that is driven with open windows in
order to improve ventilation on a hot day. At highway speeds the
air-conditioned vehicle would actually prove to be more
economical.
Click here for more tips on model aerodynamics.
The Aerodynamics
Assignment above is also provide as a word document. Click the
link and then save the assignment in your personal directory space.
Answer the questions in neatly in sentence/paragraph form. Do
not cut and paste answers (that would be plagiarism)! Vist
this aerodynamics site
An Internet Guide To Constructing Your Own Race Car for
background information.
Go to start