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Vessel

Thermal insulating vessel (thermal conductivity of the material is given) separates a heated agent from the ambient space so that temperature difference between its internal and external sides is 220°C.

Problem type:
Axisymmetric problem of heat transfer.

Geometry:

r1=610 mm, r2=700 mm

Given:
Thermal conductivity of the material λ=0.083 W/(m·K);
Temperature of the external boundary T0;
Temperature of the internal boundary T0 + 220°C.

Task:
Calculate heat flux passing through the spherical surface of the vessel.

Solution:
The problem is linear, and passing flux will be the same for any specific setting of T0. For simplicity we may consider T0=0°C (273.15 K).

Result:

Heat Flux, W

QuickField

1089.8

Theory*

1088.67

*Rajput R.K.(2010). Engineering Thermodynamics, Third Edition. Sudbury, MA:Jones and Bartlett Publishers. p 816.

Download simulation files vessel.zip.

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