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.