5.1.3 Average temperature of the polar regions increased approximately 10,000 ye

Question

5.1.3 Average temperature of the polar regions increased approximately 10,000 years ago to end the end of the last ice age. This temperature changes was conducted downward through the ice in permafrost, so the vertical temperature profile reflects the temporal temperature variations in the past. This raises the interesting possibility of using temperature profiles in permafrost to determine climate history Use the analogy between heat flux and mass flux to adapt the analysis above to give temperature as a function of time. What is the thermal diffusivity, according to this analysis? Show how thermal conductivity and thermal diffusivity are related. What are the unit of thermal diffusivity?

Explanation / Answer

Thermal diffusivity is the thermal conductivity divided by density and specific heat capacity at constant pressure.It measures the rate of transfer of heat of a material from the hot side to the cold side. It has the SI derived unit of m²/s.

Thernmal diffusivity = thermal conductivity/(density*specific heat capacity)

unit= m²/s.

Thernmal diffusivity is directly proportional to thermal conductivity.

Calculation of Deep:

TD= 2.4/(1960*917)=  0.00000133532

after correcting the unit we get 13.3532 km as an answer.

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