Unsteady State Heat Transfer Modeling of a Baking Bread in an Oven with MATLAB

Overview

This project presents a sophisticated mathematical model and numerical simulation of the heat transfer process in bread baking. The model considers a unique setup where a loaf of bread moves at a constant speed along a circular rail, with half of the rail inside an oven and half outside, exposing the bread to varying temperature conditions.

The primary objective of this study is to determine the optimal radial velocity of the rail that maintains the bread's average temperature at a specific level for proper baking. This complex problem is approached through unsteady state heat transfer modeling, implemented and visualized using MATLAB.

Key aspects of the project include:

1. Development of a mathematical model for the heat transfer process in a moving bread loaf
2. Implementation of numerical methods (Crank-Nicolson and finite difference) to solve the governing partial differential equations
3. Optimization of the rail's radial velocity to achieve desired baking conditions
4. Visualization and analysis of the temperature distribution within the bread over time

The project demonstrates the application of advanced heat transfer principles, numerical methods, and computational techniques in solving a practical food engineering problem.

This project showcases advanced capabilities in heat transfer modeling, numerical methods, and scientific computing, demonstrating proficiency in applying theoretical knowledge to practical engineering problems.

Project Highlights

• Unsteady state heat transfer modeling of a moving object
• Implementation of Crank-Nicolson and finite difference methods
• Optimization of process parameters (radial velocity) for desired outcomes
• MATLAB programming for complex scientific computations
• Visualization of heat distribution in a dynamic system

Key Skills Demonstrated

• Heat Transfer Modeling
• Numerical Methods in Engineering
• MATLAB Programming
• Partial Differential Equations (PDEs)

Project Contents

This repository contains the following key elements:

1. MATLAB Code: Implementation of the heat transfer model and numerical solutions
2. Assignment Details: Original project requirements and specifications
3. Full Report: Comprehensive documentation including:
   • Theoretical background
   • Mathematical model development
   • Numerical method implementation
   • Results and discussion
   • Visualizations and graphs

How to Use This Repository

1. Clone the repository to your local machine
2. Open the MATLAB files to examine the implementation details
3. Run the main script to execute the simulation
4. Refer to the full report for in-depth explanation of the methodology and results

Contact

For any queries, feel free to reach out via email at pooriamotahari@gmail.com or through GitHub.

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