Stationary heat propagation along the radius of an inhomogeneous hollow ball under boundary conditions of the third kind (convection)

Type of analysis: stationary thermal.

Source: Société Bançajse des Mécaniciens, Commission Validation des progiciels de calcul de. Structures, groupe de travail Thermique (2D et 3D) et thermoélasticité, Pan‘s, 1989.

Geometry:

R_i=0.3м

R_m=0.35м

R_e=0.37м

Material Characteristics:

Thermal conductivity coefficient: λ₁=40 Вт/м ° C

Thermal conductivity coefficient: λ₂=20 Вт/м ° C.

Boundary conditions:

The inner radius of the sphere:

convective heat transfer coefficient h_i=150,0 Вт/м² ° C,

set temperature on the convection elements =70°С.

The outer radius of the sphere:

convective heat transfer coefficient h_e=200,0 Вт/м² ° C,

set temperature on the convection elements = -9°С.

The calculation method used to obtain the reference solution:

1st material:

2nd material:

where, ϕ – heat flux (1W = 1 J/s);

         φ is the heat flux density (W/m² = 1 J/(s m²).

CALCULATION RESULTS:

FILES

Raw data files for PC LIRA-SAPR 2020:
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