SkyTran's
super energy efficiency
Time for some basic
aerodynamic, physics and math lessons!
The chart shown here
should give you some basic insight into the
importance of using optimized streamlined shapes in transportation vehicles.
AERODYNAMIC DRAG |
D |
= |
Cd |
X |
A |
X |
q |
Aerodynamic
Drag
Force
(pounds) |
|
Aerodynamic Drag Coefficient (dimensionless) |
|
Projected Frontal Area (square feet) |
|
Dynamic Pressure (pounds per square foot) |
THE SHAPE
EFFECT
(a measure of how streamlined a body shape is) |
THE SIZE EFFECT |
HOW SPEED (V) AND
DENSITY(ρ) ARE TAKEN INTO ACCOUNT |
EQUAL DRAG BODIES |
CUBE |
Cd
= 1.05 |
CdA
= 1.05 ft2 |
|
Flat plate "B" has 56% of the drag of flat plate "A".
"C" only has 25% the drag of "A".
"D" only has 6% of the drag of "A". |
q=1/2ρV2
=(VMPH)2/391 |
(at sea level, 590F) |
Speed |
Dynamic Pressure |
0 mph |
0 |
10 mph |
.25 lb/ft2 |
20 mph |
1.02 lb/ft2 |
30 mph |
2.30 lb/ft2 |
40 mph |
4.09 lb/ft2 |
50 mph |
6.39 lb/ft2 |
60 mph |
9.20 lb/ft2 |
70 mph |
12.53 lb/ft2 |
80 mph |
16.37 lb/ft2 |
90 mph |
20.72 lb/ft2 |
100 mph |
25.58 lb/ft2 |
150 mph |
57.54 lb/ft2 |
|
A =1.0 ft2
|
SPHERE |
Cd
= .47 |
CdA
= 1.05 ft2 |
A =2.13 ft2
|
CHOPPED TEAR DROP |
Cd
= .10 |
CdA
= 1.05 ft2 |
A =10.5 ft2
|
TEAR DROP |
Cd
= .05 |
CdA
= 1.05 ft2 |
A =21 ft2
|
The product CdA
is called the EFFECTIVE FRONTAL AREA. |
This next section shows some
of the output from
our Power Consumed calculation spreadsheet. It properly accounts for aerodynamic
drag, magnetic drag and linear motor efficiency loss effects. This small
section of the spreadsheet shows the calculated costs of electrical energy to move a fully loaded SkyTran vehicle
a distance of 100 miles (at 100 mph no less!). The spreadsheet then
compares this efficiency to a 20 mile per gallon car using $2.30 per gallon
gasoline. You can download our Excel spreadsheet here for free and do
the "what ifs" using your own car's MPG efficiency, local gasoline prices & electrical
rates. Obviously, the calculated SkyTran EQUIVALENT MPG figure will come out different
every time. Final results will very much depend on whether you own a Hummer,
a Prius Hybrid or something in between.
If the industrial electricity rate for power =
|
8 |
cents per kilowatt-hour |
|
|
|
Energy cost to travel 100 miles by SkyTran =
|
$ 0.71 |
|
|
|
|
Compare this to your car that gets |
20 |
MPG (miles per gallon) of gasoline |
costing |
$ 2.30 |
per gallon |
|
|
|
Energy cost to travel 100 miles by your car =
|
$ 11.50 |
|
Thus, a 20 MPG car costs |
16.2 |
times what SkyTran does for energy |
CLICK HERE
to DOWNLOAD this Excel Spreadsheet
so you can do your own
power required calculations
plus predictions for EQUIVALENT Miles Per Gallon.
Why are the SkyTran vehicles so
compact?
Why did you seat the SkyTran passengers in tandem
instead of the more logical side-by-side position?
At first glance many people
think we should make our SkyTran vehicles larger to carry more passengers.
They don't realize that even changing passenger seating from tandem to
side-by-side involves significant energy efficiency penalties. The
following table gives you numbers to ponder. Don't forget that the
cost of the structure for building any guideway will be directly related to
the weight carried. Envision the difference between one structure
designed to carry legal 80,000 pound gross weight trucks and another
designed to carry 700 pound gross weight vehicles!
Possible SkyTran/UniModal
Configurations |
Prone - Solo
Absolute minimum teardrop |
Single Seater
Sports car like
reclined seating |
Two Passenger
Tandem |
Two Passenger
Side by Side |
Four Passenger
Two Front,
Two Rear |
|
|
|
|
|
Performance Comparisons of Possible
SkyTran/UniModal Configurations |
|
Prone - Solo |
Single Seater |
Two Passenger |
Two Passenger |
Four Passenger |
Absolute minimum teardrop |
Comfortable
with
20 lbs luggage |
Tandem |
Side by Side |
Two Front,
Two Rear |
Pod Weight (lbs) |
100 |
150 |
200 |
270 |
350 |
Max People Wt (lbs) |
200 |
200 |
500 |
500 |
1000 |
Total weight (lbs) |
300 |
350 |
700 |
770 |
1350 |
Frontal Area (sq ft) |
0.88 |
6.067 |
6.067 |
12.2 |
12.2 |
Drag Coefficient |
0.12 |
0.168 |
0.168 |
0.22 |
0.22 |
CdA product (sq ft) |
0.1056 |
1.018 |
1.018 |
2.684 |
2.684 |
Air Drag Horsepower @ 100 MPH |
3.38 |
6.94 |
6.94 |
18.298 |
18.298 |
MagLev Horsepower @ 100 MPH |
1.60 |
1.87 |
3.73 |
4.10 |
7.19 |
Total Horsepower @ 100 MPH |
4.98 |
8.81 |
10.68 |
22.40 |
25.49 |
kW power to track @ 100 MPH |
4.13 |
7.30 |
8.85 |
18.56 |
21.12 |
Energy Cost per 100 miles |
$0.33 |
$0.58 |
$0.71 |
$1.48 |
$1.69 |
Equivalent MPG |
697 |
394 |
325 |
155 |
136 |
Relative Efficiency |
214% |
121% |
100% |
48% |
42% |
Acceleration Power req'd (kW) |
20.6 |
36.5 |
44.3 |
92.8 |
105.6 |
Assumes: 20 MPG car & $2.30/gallon gas = $11.50/100
miles; Electricity (industrial) @ $.08 per kW-hr; SkyTran @ 100 MPH. |
Don't forget there is all
kinds of research is currently being done to improve the fuel efficiency of
automobiles. Hybrids, fuel cells, direct natural gas or hydrogen
burning, etc. One has to ask oneself what happens to congestion
even if an affordable 500 MPG automobile is invented? If it
is a standard 4 or 5 passenger size it will unfortunately take up the same space on today's
roads and
will do nothing to eliminate congestion. Even something as
advanced as the Rocky Mountain Institute's four passenger, 100 MPG, HyperCar
concept is a futile effort when it comes to alleviating congestion.
Unless you build personal
sized vehicles that use offline stations operating on an elevated 3D grid (in
order to eliminate the average speed
killing stopping and starting of any form of group transit and all red light
type 2D intersection stopping) you cannot do
anything significant at any reasonable cost to reduce daily
commuting congestion hassles.
To maintain car culture
heaven, the cities need to build 10
times the current number of freeways. Imagine what would happen to
congestion if the government could afford to build 6 lane freeways
crisscrossing everywhere. Especially if each intersecting node had
non-stop cloverleaf exit and merging ramps. SkyTran offers exactly
that at affordable costs!
Energy Efficiency
Discussions: Page1 - Page2
|