January 08, 2007
Nothing to do with Baseball
I'm hoping a physicist/engineer can answer a question for me. Let's say you have two identical cars (same mass, same engine) traveling at a steady100 km/hour one six car lengths behind the other. Both will use about same amount of fuel to travel a given distance. But if the trailing car tucks right in behind the lead car, the trailing car uses a lot less fuel, because the first car is doing all the work of over coming wind resistance. (I believe this is called "drafting). If you then took the distance between the two cars to 0, that is, physically attached the trailing car to the lead car, would both cars then be able to split the fuel savings (both engines keep running)? Or does it not matter if the cars are connected? (By connected I mean a stiff connection, as opposed to a chain, so the two cars always move as one.)
Posted by David Pinto at
03:14 PM
|
Other
|
TrackBack (0)
The important distinction here is the amount of work the two cars have to do in order to maintain the speed. The amount of fuel they need to spend depends only on the amount of work they have to do. As you correctly point out, with the two cars far apart, they will have to do an identical amount of work to maintain the same speed. If they are attached together, in order to remain attached together, they will have to travel the same speed. However, the trailing car doesn't have to overcome the air resistance, so it has to do less work. The leading car has to do more work, irrespective of how they're connected together, as in order to remain connected, they need to maintain the same speed.
One caveat: this effect is subject to details about how the cars are designed. It's possible that there's a zone where this is true and a zone where you'd be getting more turbulence, not less. Drafting works for racing cards because they're all designed to have a low profile without extraneous mass, which leaks to a good "wake".
As the cars move closer together, the effect that you're looking at is the fact that the air is thinner/less turbulent/easier to move through behind the lead car, and hence the trailing car does less work. Once the cars are are connected, that's still true.
If you think of it as suddenly having an odd-shaped car with four axles and two engines, it will turn out that the front engine consumes more gas.
but if the connection is rigid, couldn't the trail car be pushing the front car to the point that they would consume the same amount of gas (but still less than they would consume if they were completely separate)?
I thought I once heard of this as a solution to congestion and fuel efficiency. You have lanes with sensors and cars whith computers which allow cars to travel within inches of each other at high speeds. Then you get more flux through a highway with less gas used (think a train of cars).
Ivan
you're making a poor assumption. the lead car is not doing all of the work with regard to overcoming wind resistance.
take one car moving through air, for example. in order to maintain a constant speed, the thrust generated by the engine must equal that of the drag forces being applied to the vehicle. the net drag on a car is a function of wind impacting from the relative wind, friction between the air and the vehicle, friction between the surface and the tires.
Also, a major contributor to total drag is caused from a localized relative low pressure that forms immediately behind the vehicle as air passes by. Low pressure in the rear of a vehicle & high pressure in front will result in drag. Go read up on Bernoulli if you're curious why this happens.
now, when 2 cars get into a "drafting" configuration, they effectively SPLIT the total drag since the lead car is doing the work necessary to overcome the drag caused by impacting the air and the trailing car is doing the work necessary to overcome the aerodynamic drag. bottom line, neither car does more work than the other, but both cars benefit since the overall force required to maintain the equivalent speed is less.
so, to answer your question... yes. by drafting alone, both cars get the fuel savings. and the distance need not be 0 between them, but merely close enough such that the air passes smoothly from the leading car to the trailing car.
Yeah, you'd have to assume that there would be no weird vortices/eddies when the two cars are attached. For example, a pickup truck with the tailgate up is actually more fuel efficient than the identical pickup truck with the tailgate down. It has to do with a standing eddy that is created inside the trailer bed.
BOTH cars would get fuel savings. Obviously the rear one would save more, but the "draft" would push the front car...
Would the results be different if the driver bats left and throws right?
;)