not quite, the glass of water itself acts as a radiator since it has a significantly larger surface area than the phone, and water evaporation cools it down ever so slightly
even at equilibrium it’ll probably keep the phone a degree or two colder, i’d wager.
But the water cannit heat itself. It is drawing the heat from the phone. So the heat dissipates and only heats up the entire system for instance by 2°C instead of the phone by itself heating by 20°C until the difference to the environment creates an equilibrium of the energy given to the air around the system.
Water has a high specific heat capacity of about 4.184 joules per gram per degree Celsius (J/g°C) (sic! ddgAI), so getting 200 gramms of tap cold water (12°C) to thermal throttling levels (95°?) needs 4.184x200x83 ≈ 6945 (J).
I got 15 Watts after searching for snapdragon’s TDP. If all of that went to heat up the water (I don’t think it does), we’d have 463 seconds until the water reaches throttling temps (with even heat discipation in the water).
Let’s petition the chip makers to make the throttle temp 105°C, so it will have to boil the water away before it could hit the threshold.
You forget that the water is in a glass and the glass gives away heat by concection to the surrounding air. For convection and heat transport in a material there is a roughly linear relationship between temperature difference and energy transported. Relative to the 15 watts we can assume the air in the room to be an infinite heat sink with constant temperature.
not quite, the glass of water itself acts as a radiator since it has a significantly larger surface area than the phone, and water evaporation cools it down ever so slightly
even at equilibrium it’ll probably keep the phone a degree or two colder, i’d wager.
Evaporation will help radiate heat away, but the surface area to volume ratio is much lower than the phone by itself.
The ratio between heat source and surface is much better though.
And that is what matters.
Does it?
I assumed that when the temperature of the glass of water and heat source reach an equilibrium, it will act as one body.
But the water cannit heat itself. It is drawing the heat from the phone. So the heat dissipates and only heats up the entire system for instance by 2°C instead of the phone by itself heating by 20°C until the difference to the environment creates an equilibrium of the energy given to the air around the system.
Water has a high specific heat capacity of about 4.184 joules per gram per degree Celsius (J/g°C) (sic! ddgAI), so getting 200 gramms of tap cold water (12°C) to thermal throttling levels (95°?) needs 4.184x200x83 ≈ 6945 (J).
I got 15 Watts after searching for snapdragon’s TDP. If all of that went to heat up the water (I don’t think it does), we’d have 463 seconds until the water reaches throttling temps (with even heat discipation in the water).
Let’s petition the chip makers to make the throttle temp 105°C, so it will have to boil the water away before it could hit the threshold.
You forget that the water is in a glass and the glass gives away heat by concection to the surrounding air. For convection and heat transport in a material there is a roughly linear relationship between temperature difference and energy transported. Relative to the 15 watts we can assume the air in the room to be an infinite heat sink with constant temperature.
surface area to volume is only relevant for things that are generating heat throughout