Temperature Rise Calculator

This app simulates the temperature rise of a real physical object heated from within, using first-principles thermodynamics and models how heat flows into an object from an internal power source and how heat is lost to the environment through:

• Convection to surrounding air
• Thermal radiation
• Conduction to a supporting surface

The system is treated as a lumped thermal mass, making it ideal for compact objects such as aluminum plates, enclosures, or electronic assemblies.

What the app does

• Solves the governing heat-balance differential equation
• Displays temperature vs. time graph
• Computes the steady-state temperature (T∞)
• Estimates the thermal time constant (τ)
• Exports temperature data to CSV for further analysis
• Exports temperature vs time graph to PNG

The temperature response, naturally, follows a first-order behavior.

Adjustable parameters:

• Heater power
• Object mass and material properties
• Surface area
• Convective heat transfer coefficient
• Emissivity
• Conduction path length
• Ambient and contact temperatures

Who this app is for:

• Engineers and designers
• Students learning heat transfer
• Makers and experimenters
• Anyone validating thermal behavior against real measurements

This app focuses on physical correctness, not curve-fitting — making it suitable for both education and practical engineering intuition.

Notes:

• Assumes uniform internal temperature (lumped-parameter model)
• Best suited for small to medium-sized objects
• Results are intended for analysis and insight, not safety-critical design!