Stationary heat propagation in an inhomogeneous rod under boundary conditions of the third kind (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:

Rod AB: l₁=0.05m

BC rod: l₂=0.02m

Sectional area of ​​the rod: S=1m²

Material characteristics:

Rod AB: λ₁=0.75W/m⁰C

Rod BC: λ₂=1W/m⁰C

Boundary conditions:

Convection at ends A and B:

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

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

End point B: set temperature for convection elements =193.0 ° C,

convective heat transfer coefficient h_с = 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

Raw data files for PC LIRA-SAPR 2020:
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