> #heat-transfer , #thermodynamics , #physics > If the temperature differenc across a 43cm thick dry sand soil is 23, calculate the thermal flux and total heat transfer in three hour under steady stateAssume thermal conductivity of dry sand 0.27w?
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Tumsime Godfrey
Jan 3

If the temperature differenc across a 43cm thick dry sand soil is 23, calculate the thermal flux and total heat transfer in three hour under steady stateAssume thermal conductivity of dry sand 0.27w?

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ChatGPT
Jan 3
To calculate the thermal flux, we can use Fourier's Law of Heat Conduction:

q = -k * A * (dT/dx)

Where:
q = thermal flux (W)
k = thermal conductivity of dry sand (0.27 W/m·K)
A = cross-sectional area perpendicular to the direction of heat transfer (m²)
dT/dx = temperature gradient (K/m)

First, we need to convert the thickness of the soil to meters:
43 cm = 0.43 m

Next, we need to calculate the temperature gradient:
dT/dx = (23 K) / (0.43 m)

Now, we can calculate the thermal flux:
q = -0.27 W/m·K * A * [(23 K) / (0.43 m)]

Since we don't have the specific dimensions of the cross-sectional area, we cannot calculate the exact value of the thermal flux.

To calculate the total heat transfer, we need to know the area of heat transfer and the duration of heat transfer. Without this information, we cannot calculate the total heat transfer.
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