Stationary heat propagation in a plate (ring section) under mixed boundary conditions of the first and third kind (given temperature and convection)

Type of analysis: stationary thermal.

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

Inner Radius: Ri=0.3m

Outer Radius: Re=0.35m

Length: L

Material characteristics:

Thermal conductivity coefficient:λ=1W/m0C

Boundary conditions:

Cylinder inner radius:

convective heat transfer coefficient h=30.0 W/m2 °C,

set temperature for convection elements =100°С.

Outer radius of the cylinder:

set temperature Te=20.0°C.

Calculation method used to obtain the reference solution:

CALCULATION RESULTS:

R(m)	Desired value	Analytical solution	Calculation results (LIRA-SAPR)	Error,%
0.30	Т (0С)	66.49	67.07	0.87
0.31	Т (0С)	56.60	57.05	0.80
0.32	Т (0С)	47.03	47.36	0.70
0.33	Т (0С)	37.75	37.97	0.58
0.34	Т (0С)	28.74	28.85	0.38
0.35	Т (0С)	20.00	20	0
[0.3÷0.35]		1894.94	1862.30	1.72

FILES

Файлы исходных данных для ПК ЛИРА-САПР 2020:
скачать

Back to the list