Home
Verification Problems
Solved verification models.
Thermal Analysis
SS-V: 3080 Heat Conduction with Temperature-dependent Conductivity
Test No. VT09Calculate the average heat flux through a slab of thickness t (0.25 feet) within the temperature range (100°F and 300°F).

Welcome
What's New
View new features for SimSolid 2025.1.
Get Started
Learn the basics and discover the workspace.
Tutorials
Discover SimSolid functionality with interactive tutorials.
Interface with External Products
Interfaces that support SimSolid output file format.
Geometry
Information about treatment and properties of geometric entities in SimSolid.
Assembly
Summary of available functionality for defining the properties and behavior of parts in the model.
Connections
Connections are used to define the association of different regions of interest between parts in an assembly.
Create Analysis
Create an analysis for your project.
Boundary Conditions
Boundary Conditions available for SimSolid.
Post Processing
Run analyses and view a variety of results in SimSolid.
Design Study
Design studies allow you to quickly evaluate and compare the structural performance from different design scenarios.
Verification Problems
Solved verification models.
- Introduction
  The purpose and format of the SimSolid verification problems document.
- Access the Model Files
  Learn how to access and download required model files.
- Static Analysis
- Modal Analysis
- Thermal Analysis
  - SS-V: 3000 Cooling fin
    Test No. VT01 Find the temperature of the insulated end of a cooling fin surrounded by fluid with the other end maintained at constant temperature.
  - SS-V: 3010 Insulated Wall
    Test No. VT02 Find temperatures at firebrick and insulating brick surfaces in an insulated wall.
  - SS-V: 3020 Cylinder with Prescribed Heat Flux
    Test No. VT03 For a cylinder loaded with a prescribed heat flux, find the temperature at the boundary between where flux is applied and the rest of the side surface.
  - SS-V: 3030 Heat Generating Plate
    Test No. VT04 Find temperature at the mid-plane of a heat generating steel plate and the heat flow rate to the fluid the plate is heating.
  - SS-V: 3040 Heat Generating Wire
    Test No. VT05 Find the temperature at the centerline and surface of a heat generating wire.
  - SS-V: 3050 Table Frame
    Test No. VT06 Find temperature at points A, B, C, and D of an eight tube assembly.
  - SS-V: 3060 Thermal
    Test No. VT07 Find the temperature on a plate with prescribed temperature and convection loads.
  - SS-V: 3070 Transient Thermal
    Test No. VT08 Find the temperature distribution on a beam subjected to transient thermal load.
  - SS-V: 3080 Heat Conduction with Temperature-dependent Conductivity
    Test No. VT09Calculate the average heat flux through a slab of thickness t (0.25 feet) within the temperature range (100°F and 300°F).
- Thermal Loading
- Non-linear
- Dynamics
- Fatigue
- Composites
Frequently Asked Questions
This section provides quick responses to typical and frequently asked questions regarding

SS-V: 3080 Heat Conduction with Temperature-dependent Conductivity

Test No. VT09Calculate the average heat flux through a slab of thickness t (0.25 feet) within the temperature range (100°F and 300°F).

Definition

Figure 1.

The material properties are:

Thermal conductivity of the material varies linearly with respect to temperature (k(T)=C₀+C₁T)

Where,

C₀=0.031 BTU/hr-ft-℉
C₁=0.000031 BTU/hr-ft-℉

Temperature ℉: Thermal Conductivity (BTU/(hr*ft*℉)
100: 0.0341
300: 0.0403

Results

Calculated the average thermal flux for the slab 1 x 1 x 0.25 feet solid for which the thermal conductivity of an 85% magnesia insulating material is described by the equation k(T)=C₀+C₁T, valid for temperatures between 100℉ and 300℉.

Table 1. Average thermal flux for the slab
	Theory	SimSolid	% Difference
Thermal flux, [BTU/(hr*ft²)	29.76	30.02	<1

*Reference solution is a 1D model

¹ Kreith, F. Principles of Heat Transfer. 2nd ed. P.A.: International Textbook Co., 1959, pg.25