Evaluation of Heat Equation with Analysis of Physical Heated Rod
Access Type
Open Access
Entry Number
125
Start Date
4-5-2017 11:30 AM
End Date
4-5-2017 11:45 AM
Department
Physics
Abstract
The Heat Equation governs the flow of energy through physical systems by examining temperature changes. Using partial differential equation solving methods the one-dimensional heat equation was solved using a variety of initial and boundary conditions. Theoretical plots were formed for heat flow through a heated pipe as a function of position and time. An experimental apparatus for a heated copper pipe was built and studied for experimental data. Theoretical values were compared and mapped to experimental results to determine the validity of our solution, and determine system variables such as heat loss to atmosphere, and copper’s susceptibility to temperature change.
Faculty Mentor(s)
William Roach
Evaluation of Heat Equation with Analysis of Physical Heated Rod
The Heat Equation governs the flow of energy through physical systems by examining temperature changes. Using partial differential equation solving methods the one-dimensional heat equation was solved using a variety of initial and boundary conditions. Theoretical plots were formed for heat flow through a heated pipe as a function of position and time. An experimental apparatus for a heated copper pipe was built and studied for experimental data. Theoretical values were compared and mapped to experimental results to determine the validity of our solution, and determine system variables such as heat loss to atmosphere, and copper’s susceptibility to temperature change.