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Calculation of the shallow foundation thermal resistance

Using the shallow foundation to compare with the traditional deep foundation allows reduction of the expenses on building materials, work time and the cost of the project. But in the cold climate shallow foundations require additional thermal insulation. EPS plate placed directly under the foundation is one of these methods.

Problem type:
Steady-state heat transfer.

Geometry:

shallow foundation model

All dimensions are given in millimeters.

Given:
Temperature inside (upper edge of the foundation): T1 = +20 °C;
Temperature outside (ground surface): T2 = -20 °C;

Task:
Compare thermal resistance of the shallow foundation with the insulation plate and without the plate.

Solution:
Thermal resistance can be calculated as a ratio of the temperature difference value and the heat flux value.

Results:
Insulation plate reduces heat losses by 10%:

Design

Temperature difference (°C)

Heat flux (W)

Thermal resistance(°C/W)

Insulated

40

72.97

0.55

Without insulation

40

81.15

0.49

Temperature distribution in the shallow foundation:

  • Insulated
    shallow foundation with insulationtemperature scale
  • Without insulation
    shallow foundation heat lossestemperature scale

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