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Physics
Classical Physics
Thermodynamics
Simultaneous heating and cooling
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[QUOTE="fishspawned, post: 6178152, member: 382901"] I am having trouble wrapping my head around a particular problem I am thinking about. Consider that I have a heating source that I can describe in terms of either degrees Celcius / second or Joules / second, but essentially I am able to determine a fixed heating rate. Let's say: [B][SIZE=5]dT/dt =[/SIZE][/B][SIZE=5] [/SIZE][B][SIZE=5]5 degrees / second[/SIZE][/B] If I have an object in a room with a specific ambient temperature, it would also be experience simultaneous cooling, which is determined [i assume] through Newton's Law of Cooling, namely: [B][SIZE=5]T = (T[SUB]o[/SUB] - T[SUB]room[/SUB])e[SUP]-kt[/SUP] + T[SUB]room[/SUB][/SIZE][/B] Where [B]k[/B] is a constant and [B]T[SUB]room[/SUB][/B][SUB][/SUB] is the ambient temperature, also fixed. The issue is how to combine these two things into one equation because with Newton's Law of Cooling, the assumption is that you start from a fixed initial temperature, [B]T[SUB]o[/SUB][/B]. But if it is being heated, then [B]T[SUB]o[/SUB][/B] is going to be changing as it gets warmed up, assuming the heating rate is larger than the cooling rate. So I am hoping someone can offer some help in how this can be reconciled in some way - or is this simply regulated to hands on testing of the object to see what happens in the real world? [/QUOTE]
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Physics
Classical Physics
Thermodynamics
Simultaneous heating and cooling
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