Poster or Presentation Title

Evaluation of Heat Equation with Analysis of Physical Heated Rod

Access Type

Open Access

Presentation Type

Oral Presentation

Start Date

April 2017

End Date

April 2017

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

William Roach

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Apr 5th, 11:30 AM Apr 5th, 11:45 AM

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.