Numerical investigation of the three-dimensional steady heat transfer in cylindrical rod with low-level warm, in a cold environment

In this paper thermal conduction problems in spherical coordinate systems are simulated numerically. The presence of irregular geometry and complex boundary conditions, and due to non-linearity, makes it difficult to solve conductive problems in numerical methods. In the present study, a precise solution is presented for the three dimensional heat transfer of a cylindrical rod made of aluminum. In order to solve the heat transfer equation, the cylindrical rod is used in the finite element method of geometry and gridding. The grid generation used in this problem is of a triangular structured type due to its curvature. The cylindrical rod is connected to a radius R and a length L connected to a fixed temperature wall. The cylinder surface is located in an environment with a temperature T∞ and with constant heat transfer coefficient h in the heat transfer of the displacement. The conductivity of this rod in three directions (r, z, φ) with boundary conditions and temperature is investigated linearly and nonlinearly, and it has been shown that the temperature distribution with nonlinearity in different points will be irregular and unpredictable.

کلیدواژه ها:

Conductive heat transfer ، Finite element ، Nonlinear equation