It's the Framework of coffee mugs.
They claim that it changes phase right around the 63 degC mark (which, again, is claimed to be the sweet spot for where most hot beverages are enjoyed). Therefore, a hot drink will quickly move to that temperature when the poured liquid is above that transition temp (the liquid-phase insulator being a good conductor), and then stay close to it after dropping below the transition point, when the solid insulator re-forms and stops conducting heat well. If true, I think it's a really neat application of high-tech materials science in everyday life.
[1] https://joeveo.com/pages/the-temperfect-mug (see "Details for the Technogeek)
https://www.yeti.com/ would be my preferred vendor for that sort of thing.
grep for technogeek [here](https://joeveo.com/pages/the-temperfect-mug)
(I mean that's not a crazy notion: if you have any warm mug and fill it with cold stuff, the warm mug will heat up your cold stuff.)
You are right that if you keep your mug closed, there shouldn't be any energy flowing back into your drink.
The steps would be:
1) Drink > 140, PCM solid
2) energy flows drink -> PCM, drink cools toward 140, PCM liquifies gradually
Then two possibilities:
3a) drink cools to 140-epsilon before PCM liquifies fully
4a) PCM gives energy to drink in dynamic equilibrium, while also losing energy to environment, solidifying
5a) PCM is entirely solid at 140
6a) PCM drops below 140. drink gives energy to PCM and PCM to environment. drink -> PCM thermal conductivity is presumably much higher than PCM -> env, so drink and PCM remain at same temp
OR
3b) PCM liquifies fully before drink hits 140-epsilon
4b) drink and PCM stay at thermal equilibrium (see 6a) while cooling toward 140. energy flows drink -> PCM and PCM -> environment. The former is faster, so the PCM continues liquifying
5b) PCM is entirely liquid at 140. Due to thermal equilibrium, drink is also at 140.
6b) drink stays at 140 while PCM solidifies
7b) see 5a
8b) see 6a
So there will be energy going from the drink to the environment through the lid, which in turn allows energy to flow back from PCM -> drink.
The drink on the other hand will change temperature as it looses energy.
The drink will lose energy through the lid, leading to a small temperature gradient between the PCM and the drink. This gradient should allow energy to flow back from the PCM into the drink.
Insulated keep cup on display at any cafe is around $15-25 AUD.
Lid is tight and leak proof. I trust it inside my pack. The handle and carabiner are essential components too. Handle hangs over bike handlebars, side of canoe or seat, belt. Carabiner does, well it does what carabiners do!
https://imgur.com/a/5f9rMA2 This pic is from 2014. It's lost the rubber base since then but none of its usefulness.
"Please note: because of recently-instituted tax collection requirements, we are no longer shipping to the EU or UK—sorry!"
I think you can draw a maximum of 100W via a USB-C port? (Though most laptops would really struggle with that, even when plugged in.)
How much heat does a cup of tea lose per second at eg 20C room temperature and 60C water temperature? (Or whatever you want to keep your beverage at?)
To counteract a 2-centigrade-degree drop per minute, you'd only need 35W to keep 250ml at a constant 85C. (Or 65C if that's where you start it.)
Nit: please use Celsius (and "°C" if you can)
See https://en.wikipedia.org/wiki/Thermodynamic_beta
> Though completely equivalent in conceptual content to temperature, β is generally considered a more fundamental quantity than temperature owing to the phenomenon of negative temperature, in which β is continuous as it crosses zero whereas T has a singularity.[6]
> In addition, β has the advantage of being easier to understand causally: If a small amount of heat is added to a system, β is the increase in entropy divided by the increase in heat. Temperature is difficult to interpret in the same sense, as it is not possible to "Add entropy" to a system except indirectly, by modifying other quantities such as temperature, volume, or number of particles.
In principle USB C goes up to 240W now, but that isn't relevant here.
USB-C power is negotiated, with a full blown two way negotiation if you want more than 5 volts (or to draw more than 3 amps). Framework laptop ports don't support outputting more than 5V or 3A and so will max out at 15W.
That is, this isn't a "struggle" -- because USB-C has negotiated power in general, just because it is possible to build USB-C ports that support 240W doesn't mean that a random port on a battery powered laptop has to support anything close to that.
The port powers up in the default low power mode, but the attached device can signal that it supports more if the device can provide it.
You want to start off with low power — since starting off with high power could damage devices that don’t support it.
Laptop: *Om nom nom, 5 volts, yum!*
Power supply: Hey, I can do 5 V, 9 V, 15 V and 20 V
Laptop: I hear ya.
Laptop: Can I get 20 Volts?
Power supply: I hear ya.
Power supply: Here's 20 volts!
You get the idea.All the way up to whatever the device will accept. Past that, the device rejects the offer from the power supply.
The original spec lists 5 V, 9 V, 15 V and 20 V, with support of for volts being kinda common because that's what cars use so the circuitry support already exists. According to spec, the charger is supposed to support all the voltages lower than it's max, but ofc not everything is spec compliant.
20 Volt @ 5 Amp is 100 watts which was the old maximum power usb-c PD could do. But it turns out that wasn't enough, so they renamed that to be Standard Power Range (SPR) and released when Extended Power Range (EPR). EPR adds adds 28 V, 36 V and 48 V @ 5 Amps, to the spec, for a new maximum of 240 Watts of power.
(Longer desc of the conversation in table 5 in https://www.ti.com/lit/an/slva842/slva842.pdf )
https://amazon.com/dp/B07G9J4745
and set it to 140, for nice warm coffee which it will maintain.
It works well with 24w, so usb-c should have more than enough power.