Mech_Engineer
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Just to back up Jimmy's calcs, I made a similar calculation a little more than a year ago when someone posted asking about a heated road infrastructure to replace snowplows: https://www.physicsforums.com/showthread.php?t=351186&highlight=snow
Basically the power requirements to melt snow which is exactly 0*C and falling at a rate of 1 in/hr is about 190 W/m^2. Problem is, 1) there's no sunlight when it's snowing! and 2) solar irradiance would have to be on the order of a sunny day to keep up with melting the snow. So unless this magical road has magical energy storage, give it up. You're better off with a dark colored road, snowplows, and salt/deicer. Then when the sun does come out, the dark colored road absorbs the solar energy and melts the snow.
Basically the power requirements to melt snow which is exactly 0*C and falling at a rate of 1 in/hr is about 190 W/m^2. Problem is, 1) there's no sunlight when it's snowing! and 2) solar irradiance would have to be on the order of a sunny day to keep up with melting the snow. So unless this magical road has magical energy storage, give it up. You're better off with a dark colored road, snowplows, and salt/deicer. Then when the sun does come out, the dark colored road absorbs the solar energy and melts the snow.
Mech_Engineer said:Well I've got a good reason why it can't completely replace snow plows: power requirements for a snow storm.
Say for example you have a 1-mile stretch of 2-lane road you want to keep snow free even during a fairly slow snowfall of 1 in/hr (heavier storms can be 6 in/hr). We will say the road is 7.5m (24.6 feet) wide, the snow falling has a density 8% that of water, and the snow falling is excatly 0 degrees C which means we only have to deal with water's enthalpy of fusion.
1 in/hr of snowfall correlates to 311 m^3/hr over a 1-mile stretch of road, or 25,000 kg/hr of snow. If we want all of this snow to melt right away and not accumulate, we need to put enough power through the heating coils to melt the snow as it falls. Given that water's enthalpy of fusion is 333.5 kJ/kg, that equates to a necessary power throughput of 2.3 MW for a single mile of 2-lane highway. Obviously the power requirements are substantial, at about 1.4 kW/m for 1 in/hr snowfall.
So say hypothetically tiny town X wants to completely get rid of their snow plow fleet and replace it with heated roads that are powered by wind turbines. They have a total of 5 miles of road, all 7.5m wide 2-lanes, that they want to be able to handle a maximum of 4 in/hr of snow. That would mean they would need a total power input of 46.1 MW to heat the entire road system during heavy storms (4 in/hr), and 11.5 MW during light storms (1 in/hr).
That sounds like a pretty significant wind farm/battery bank to me, especially for only 5 miles of road. It's obvious how this would scale up for larger areas, and shows why from a power standpoint a heated road infrastructure system just isn't practical.