The discussion focuses on the mathematical modeling of Joule heating in a cantilever beam. Key points include the lack of practical relevance of the cantilever configuration, with voltage (V) connected to the fixed end and voltage (V0) to the free end. The thermal boundary condition at the cantilever end is clarified, indicating that heat loss occurs at the free end, which is equivalent to conduction into another connected cantilever. The differential equation governing the system is defined as 0=k(d²T/dx²)+Q, where k is thermal conductivity, T is temperature, x is distance along the beam, and Q is the heat generation rate.
PREREQUISITESEngineers, physicists, and researchers involved in thermal analysis, materials science, and mechanical engineering, particularly those focused on Joule heating and cantilever beam applications.
Chestermiller said:What is the relevance of the beam being cantilevered? Is it that the beam is extended out into the air? What is the thermal boundary condition at the cantilever end of the beam. Do you need to include the heat transfer from the beam to the air, or is it just that the cantilever end is a heat sink at fixed temperature?
Chet
The differential equation that describes this system is given by:jatin1990 said:Thanks Chestermiller for reply, "What is the relevance of the beam being cantilevered?" good point there no practical relevance the only thing is V is connected to the fixed end and V0 is connected to the free end. "What is the thermal boundary condition at the cantilever end of the beam." Actually there is another cantilever on the other end , both are connected at the center so we can assume free end surface is loosing heat (equivalent to the actual conduction into the other cantilever) "Do you need to include the heat transfer from the beam to the air" No we can neglect the convection lose.
Thanks.