Algodoo

Steady-State Heat Conduction Problem - Numerical Simulation in Algodoo

This scene demonstrates a modular approach to solving a classic numerical problem — steady-state heat conduction — by utilizing the parameter-passing capability of Algodoo's laser pointers.

Method Overview:
The simulation leverages the heat balance method (refer to Section 4.2.2 of Tao Wenquan's Heat Transfer, 5th Edition). Each block in the scene represents a computational node. To explore the parameters and script implementation, open the script menu of any node.

Problem Description:
A long rectangular column with cross-sectional dimensions L₁ × L₂ is made of a material with constant thermophysical properties and no internal heat generation. Due to the column's length and negligible variations in boundary conditions along the z-axis, the problem is simplified to a 2D steady-state heat conduction model. The boundary conditions are illustrated in the scene.

Objective:
Determine the temperature distribution within the column.