ferroequinologist wrote:David Benton wrote:bit of a difference in frontal area between a bilevel and a metroliner cab car , but i will concede the power of ten is possibly over the top , and apologise for that . anyone able to work out the correct ratio ?
I think the force of drag increases proportionally to frontal area. So doubling the frontal area would double the drag. But drag isn't the only force the locomotives need to act against--there's rolling resistance and friction, too. It's drag is proportional to the square of velocity--that may've been what you were thinking of.
But take that with a grain of salt--though I just took Fluid Dynamics in college, I wasn't too good at it.
If I recall my Physics right.... The drag force is proportional to square of velocity so the power needed to overcome said drag is proportional to the cube of velocity. That is about as high a power you get to .... not anywhere near 10.
The difference in the frontal area assuming flat face is probably of the order of 15 to 20% more going from a single level to a Superliner level car. For single level roughly 14' x 10' = 140 ft sq, Superliner roughly 16' x 10' or 160 ft sq 160/140 = is more like 14%. Given that single level car height generally is a bit smaller than 14' and Superliners a bit more than 16' I think 15% to 20% is probably a good ballpark, though a bit on the high side.