How Is Temperature Calculated in a Heated Copper Block?

AI Thread Summary
To calculate the temperature at a point in a heated copper block, one can use the heat conduction equation, assuming no heat loss from the sides. The equation for heat flow is given by ΔQ/Δt = k A Δθ/Δx, where Δθ/Δx represents the temperature gradient. This approach is standard and detailed in literature such as Mikhailov and Ozisik's work on heat and mass diffusion. The temperature at a distance x from the heated end can be determined over time using this formula. Understanding these principles is essential for solving heat transfer problems effectively.
Froskoy
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Hi,

Suppose a copper block is heated on one side so that one end is at 800K. Given the dimensions of the copper block, is there a way of calculating the temperature of a point in the block distance x from the heated end after a given time?

With many thanks,

Froskoy.
 
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This is a standard problem exhaustively treated in, for example, Mikhailov and Ozisik's "Unified analysis and solutions of heat and mass diffusion".
 
If it can be assumed that there are no heat losses from the sides of the block then the equation for rate of heat flow is:
ΔQ/Δt = k A Δθ/Δx Δθ/Δx is the temperature gradient
 
Thanks! Your replies were really useful.
 

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