VM215
VM215
Thermal-Electric Hemispherical Shell with Hole
Test Case
A conducting hemisphere of radius, r, has a hole subtending an angle Θ1. The edge of the hole is electrically and thermally grounded. A voltage, V2, is applied at the equator. A Φ degree sector in the azimuthal plane is analyzed.
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Analysis Assumptions and Modeling Notes
A hemispherical shell with a hole is analyzed. The symmetry of the model is utilized and only a 3 degree sector in the azimuthal direction is analyzed.
The electric current (I) in the sphere is given by:
Where resistance R is given by:
The total heat flow is due to Joule Heating and is given by Q = I (V2 - V1)