Stationary heat propagation in the rod under third kind boundary conditions (convection)
Verification of the LIRA-FEM software / Stationary heat propagation in the rod under third kind boundary conditions (convection) / Société Fançajse des Mécaniciens, Commission Validation des progiciels de calcul de Structures, groupe de travail Thermique (2D et 3D) et thermoélasticité, Pan‘s, 1989.
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 hA=20.0 W/m2 ° C.
End point B: set temperature on convection elements =500.0 °C,
convective heat transfer coefficient hB = 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:
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