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Homework Statement
Two cubic samples of the same dimensions (length L) have thermal conductivities [tex]\kappa_1[/tex] and [tex]\kappa_2[/tex]. The slabs are placed adjacently horizontally | 1 | 2 |
Obtain expressions for the heat flow rate through the composite slab if the temperature difference is applied
a) from top to bottom
b) from left to right
Homework Equations
Heat transfer rate: Q' = [tex]\frac{dQ}{dt}[/tex] = [tex]\kappa \cdot A \cdot \frac{\Delta T}{L}[/tex]
Thermal expansion: [tex]\kappa = \frac{\Delta L}{L_0 \Delta T}[/tex]
The Attempt at a Solution
I'm having trouble even understanding the question. What I can figure out is the above equation to find the expansion length. Then with regard to heat transfer rate, the cross sectional area will be A = 2L² with [tex]\Delta T[/tex] , [tex]\kappa[/tex] and L initially given.
At first guess I'm think for a), the area is 2A (horizontally slice); and for b) its just A (vertical slice). And then just plugged into the equation for heat transfer rate. But the question is for quite a bit of marks so this seems too easy :P
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