# Stationary heat propagation in an L-shaped plate under boundary conditions of the first kind (given temperature)

Verification of the LIRA-FEM software / Stationary heat propagation in an L-shaped plate under boundary conditions of the first kind (given temperature) / Analytical solution: G.T. Symm-, National Physical Laboratory Division of Numerical Analysis and Computing, Treatment of singularities in solution of Laplace&#39;s equation by an integral equation method, NPL Report NAC 31, jan. 1973.

Type of analysis: stationary thermal.

Analytical solution: G.T. Symm-, National Physical Laboratory Division of Numerical Analysis and Computing, Treatment of singularities in solution of Laplace's equation by an integral equation method, NPL Report NAC 31, jan. 1973.

Material characteristics:

Thermal conductivity coefficient: λ=1W/m0C

Boundary conditions:

For segment AF: T=10°C.

For segment DE: Т= 0°С

CALCULATION RESULTS:

 х(м) z(м) The desired value Analytical solution Calculation results (LIRA-SAPR) Accuracy, % 0 0 Т (0С) 10 10 0 0 0.2 Т (0С) 10 10 0 0 0.4 Т (0С) 10 10 0 0 0.6 Т (0С) 10 10 0 0 0.8 Т (0С) 10 10 0 0.2 0 Т (0С) 9.316 9.294 0.236 0.2 0.2 Т (0С) 9.001 9.015 0.156 0.2 0.4 Т (0С) 8.514 8.505 0.106 0.2 0.6 Т (0С) 8.018 8.025 0.087 0.2 0.8 Т (0С) 7.869 7.861 0.102 0.4 0 Т (0С) 9.009 8.996 0.144 0.4 0.2 Т (0С) 8.640 8.661 0.243 0.4 0.4 Т (0С) 6.667 6.667 0.000 0.4 0.6 Т (0С) 5.680 5.669 0.194 0.4 0.8 Т (0С) 5.495 5.502 0.127 0.6 0.4 Т (0С) 2.972 2.99 0.606 0.6 0.6 Т (0С) 2.881 2.959 2.707 0.6 0.8 Т (0С) 2.816 2.845 1.030 0.8 0.4 Т (0С) 0 0 0 0.8 0.6 Т (0С) 0 0 0 0.8 0.8 Т (0С) 0 0 0

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FILES
Raw data files for PC LIRA-SAPR 2019:
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