Stationary heat propagation in the rod under third kind boundary conditions (convection)

Type of analysis: stationary thermal.

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

Geometry: 

L=0.4733m

Sectional area of ​​the rod: S=1m²

Material characteristics:

 Thermal conductivity: λ=1W/m⁰C

 Boundary conditions:

 Convection at ends A and B:

 End point A: set temperature for convection elements = -20.0°C,

convective heat transfer coefficient h_A=20.0 W/m² ° C.

End point B: set temperature on convection elements =500.0 °C,

convective heat transfer coefficient h_B = 10.0 W/m² ° C,

Calculation method used to obtain the reference solution:

where, ϕ – heat flux (1W = 1 J/s);

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

CALCULATION RESULTS:

FILES

Data files for PC LIRA-SAPR 2020:
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