v4.02.101 TPLL101 - Joule heating of a hollow cylinder

Summary:

Electric currents are imposed inside and outside a hollow cylinder of finite length, then the temperature established under the effect of a heat source produced by the Joule effect is calculated. The reference solution is analytical.

The field of application is stationary linear thermics.

The model is axisymmetric.

The test is carried out on elements QUAD8 and TRIA6 for the first modeling, axisymmetric (AXIS). With TETRA4 elements for the second modeling, 3D.

• 1. Reference problem
  • 1.1. Geometry
  • 1.2. Material properties
  • 1.3. Boundary conditions and loads
  • 1.4. Initial conditions
• 2. Benchmark solution
  • 2.1. Calculation method used for the reference solution
  • 2.2. Benchmark results
  • 2.3. Uncertainty about the solution
• 3. Modeling A
  • 3.1. Characteristics of modeling
  • 3.2. Characteristics of the mesh
  • 3.3. Tested sizes and results
  • 3.4. notes
• 4. B modeling
  • 4.1. Characteristics of modeling
  • 4.2. Characteristics of the mesh
  • 4.3. Tested sizes and results
• 5. Summary of results