alirezabhz/1d-heat-transfer-in-fins

Python script to solve the 1D heat equation and gain temperature distribution in a fin with Dirichlet or Neumann boundary condition at tip.

♨ 1D Heat Transfer in Fins ♨

🟢 Python script to solve the 1D heat equation and gain temperature distribution in a fin with Dirichlet or Neumann boundary condition at tip, using TDMA algorithm.
🟢 This solution is based on finite difference method.
🟢 Compare numerical solution with analytical solution.

🧬 Input variables to define the problem:

L: Length of the fin (in meters)
D: diameter of the fin (in meters)
Nx: Number of nodes along the rod

thermal_conductivity: Thermal conductivity for steel (in W/m·K)
convection_coef: Convection Coefficient (in W/m^2.K)

T_env: Environment temperature (in K)
T_base: Base temperature (in K)
T_tip: Tip temperature (in K) (for Dirichlet B.C only)

🤖 Usage

Just replace the existing values of input parameters with your desired values and run the code.