Temperature Distribution Modeling

Numerical Analysis of a Rectangular Plate

Project Overview

As part of a team, I contributed to the numerical modeling of temperature distribution in a rectangular plate, aiming to develop a MATLAB-based computational model for predicting temperature field evolution over time. This project provided valuable insights into heat transfer analysis using numerical methods.

Key Model Aspects

The temperature evolution was calculated using the FTCS (Forward Time-Centered Space) numerical method. Key aspects of the model include:

  • Implemented in MATLAB to solve the heat equation explicitly.
  • Utilized the FTCS numerical method for temperature evolution.
  • Considered key parameters including plate dimensions, material properties, ambient temperature, and heat source characteristics.
  • Visualized temperature distribution through MATLAB-based simulations.

By leveraging computational heat transfer techniques, this model provided a detailed and accurate prediction of temperature variations, helping to analyze and optimize thermal behavior in engineering applications.

Visualizations & Results

Matlab was utilized to visualize the results shown in the images below.

3D Plot of Width vs Height vs Temperature

3D Plot: Width vs. Height vs. Temperature

Plate Contour Plot

Plate Contour Plot

Plot of Temperature vs Time

Plot: Temperature vs. Time at Two Points