Please just do some basic sums. 10kg weight exerts about 200 Newtons. Lift it 2m, you’ve stored 400 joules. If it drops in 100 seconds that’s 4 watts. Frankly you’d get warmer just weight lifting.
Alas, doing sums is one of the great divides in Model Engineering. Some practical men go so far as despise maths, science and theory, and instead rely entirely on experience. They are foolish! Experience is essential, but it’s limited compared with understanding mother nature’s rules, which become vital when designing anything new. Unfortunately, some university trained engineers despise practical men just because they can’t to the maths, which is equally foolish. They need each other!
Unfortunately natures rules are best expressed mathematically, and many of them aren’t simple. Though Stovemaker’s project could be approached experimentally, using rule of thumb methods, that’s an extremely expensive way of approaching a design problem where the physics is already well-known.
Stovemaker gives more detail of his project in post #768731. My previous guesses about his device were all wrong, me assuming that the spring driven fan part was only required to circulate air around a room and the heat source was something else. Not so!
Stovemaker’s description is of a heater in which a spring provides all the energy. It’s a fan-heater in which heat is obtained by coupling inefficiently with magnets so that a fan is heated by induction currents. The method isn’t crazy – it’s analogous to why an overloaded electric motor gets hot. As far as I can tell Stovemaker’s device isn’t a perpetual motion machine, therefore it can be built. Several problems to solve though:
- Efficiency. Gut feel is that inducing current in the fan by slipping magnetic fields and heating the fan blades inductively W= I²R will be inefficient compared with fitting the fan with a slipping mechanical brake. Magnets wouldn’t wear out though, so he scores by reducing maintenance, maybe…
- Adjustment. The device will have to be adjusted to slip ‘just so’. Have to build one to be sure, but I think getting the slip right will be tricky. There’s a balance: no slip means the fan will move air without heating it whilst excessive slip won’t produce much heat because the induced currents are low, and the fan won’t spin either. Plus, the fan needs to spin quickly – faster the better, and 500rpm is slow.
- Power. This is the killer! John’s sum shows that a 10kg weight dropping 2metres over 100 seconds produces about 4W. That’s way too small to heat a room. In comparison, my bathroom has a 1.5kW fan-heater which takes about 10 minutes to raise about 14 cubic metres of air from 16°C to 20°C. That’s 0.25kWh, compared with John’s dropping weight example, which I calculate only stores 0.0001kWh: no need to build one, the calculation shows the weight has to deliver 2500 times more energy. A much bigger weight and/or falling from a great height is needed. (Usual warning about my dodgy maths, but I think the magnitude of the problem is clear!)
- Space. Can’t find the comparative table in my books this morning but from memory a falling weight has a higher energy density than a spring. That means a giant spring would be needed to heat my bathroom. Not having the numbers to hand stops me estimating how big the spring needs to be, but anyone who has the figures can do the sum.
- Ergonomics. Assuming the purpose of a spring powered heater is to go off grid, then the spring will have to be wound by muscle power. An average fit man can output about 200W continuously, so that’s about 75 minutes hard work winding the spring before it does any heating. (I’m far from being averagely fit!)
Boils down to an interesting idea, loads of fun to had developing it and finding out how well it works, but theory strongly suggests the result is unlikely to be practical.
Plenty of clever history and science behind the “Mechanical Equivalent of Heat“. James Watt was a pioneer, his need being to explain to customers who only understood horses, just how much better his steam engine was than muscle power. By measuring the work done by a team of horses lifting water from a deep well, he derived the Horse Power, a unit that survives to this day even though hardly anyone knows how hard or for how long a horse can be worked. (A James Watt horse is about 750W, roughly 4 average men.)
The equivalence of mechanical and other forms of stored energy was proven by Joule about 60 years after Watt. Thereafter the Mechanical Equivalent of Heat was expressed in Joules/Calorie, but the modern metric system eventually rationalised the whole concept into the Watt. British and US Heating engineers still seem to use BTU though, which is the amount of energy needed to raise one pound of water through 1°Fahrenheit: about 1055 watt-seconds aka Joules, in real money! The Centigrade Heat Unit (one pound of water through 1°C) looks to have disappeared though.
Dave