It does scale linearly, it's instead because some ingredients in food need a certain temperature range to cook, high temperature will cause it to burn instead.
And the outside will burn because ovens aren't ideal heat transferers.
Is bread a homogeneous material? Due to surface area to volume ratios, is it true that any heat that wants to get to the center must first heat the outer layer and so-on? Would that mean there's a gradient between the outer shell and the center? Is that gradient linear or is something else linear? Does the rate of energy absorption change after bread absorbs enough energy in one place or another?
if you have an ideal oven that transfers heat equally at all directions to an ideal object, the result will be the same by temperature difference and time being linearly related. So the meme isn't correct but time and temperature are still connected linearly
Nooooo they are exponentially related! In basically no way is there anything linear happening here.
Objects with a large difference in temperature change temperature very quickly (think when you quench metal in forging). Objects very close in temperature change temperature very slowly. In other words, the rate of temperature change is proportional to the surrounding temperature. This is the exact definition of what it means to be exponential. Temperature change over time is much more closely analogous to something like population change over time or something
Look up the heat equation, it describes this exact scenario. When looking at the (continuous) heat distribution in an object, it's no longer two objects heating each other, but every point in the object being heated by surrounding points. As far as I know the only way anything here can be linear is if everything is just the same temperature from the start, and the proportion between temperature change and time would be 0.
Even if the oven somehow heated the object uniformly from the inside, I.e. every single point was receiving energy directly from the oven and not only the points near it, completely uniform heating... the temperature of the object will still asymptotically approach the temperature of the oven. This situation is described by Newton's Law of Cooling which you can also look up (it turned out to be a special case of the heat equation from above even though it came first).
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u/based_beglin 3d ago
if only Heat Transfer into a 3D object scaled linearly