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Accelerating the hardening of concrete using the controllable thermos technology

The reinforced concrete foundation slab (4x6x1.2 m) with initial temperature of +10 °C is laid on the frozen ground (slab - concrete, base - sand, bedding - soil).

Problem type:
Plane problem of transient heat transfer.

Geometry:

hardening of concrete by means of the controllable thermos technology

Given:
Slab initial temperature Tslab = +10 °C
Soil temperature Tsoil = -5 °C
Air temperature Tair = -10 °C
Convection coefficient is 23 W/K·m2
Soil freezing depth is 1.3 m.
Planned hardening time is 1 week.
Resistance of the heating cables is constant.
Exothermic heat of the concrete Q = f(time, temperature)[W/m3] - a function of time under the average expected temperature.

Task:
Calculate temperature distribution in the slab during the hardening.

Results:
Temperature difference between the center and the surface of the slab is about 20 °C in average, which is within the project requirements.
temperature distribution in the concrete plate

During the calculation period the concrete temperature doesn't drop below 0 °C. Heating rate doesn't exceed of 5 °C/hour.
After 4 days the temperature in the center of the slab reaches its peak value of 47 °C.

temperature change in the concrete plate

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