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[Solution]

This example is taken from Cornell University’s ANSYS AIM Learning Modules

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Contents

1. Learning Goals
2. Problem Specification
3. Pre-Analysis
4. Geometry
5. Physics Setup
6. Results Evaluation
7. Verification & Validation

Learning Goals

In this tutorial, you will learn to :

• Perform thermal analysis of electrical wire
•  Determine the centerline temperature of wire

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Problem Specification

For this demonstration, we are asked to determine the centerline temperature, Tc, and surface temperature of a bare steel wire carrying a current, I, and having a resistance, R. The surface convection coefficient between the wire and the ambient air (at temperature Ta) is h.

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Pre-Analysis

Using Ohm’s Law  I R = V the voltage drop along the wire is calculated to be 0.1 volts. The resistivity is also calculated using the equation , which is calculated to be . We are now ready to begin the simulation.

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Geometry

Download the file here

The following video shows how to import the geometry in Discovery AIM.

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Physics Setup

The following video shows how to define a new material for the wire and specify electrical and thermal boundary conditions.

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Results Evaluation

The following video shows how to compute the centerline temperature of wire.

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Verification & Validation

From the Ansys Mechanical APDL Verification Manual problem VM119 the calculated centerline temperature was 420.0 F (215.6 C). The percent error between these two calculations is 0.102%. In conclusion, the solvers calculation for the centerline temperature is accurate.