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DTA Simulation

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Simulation Example
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Working Group
Bill Boettinger
Ursula Kattner
Kil-Won Moon

Calculation of DTA Curve for Arbitrary Enthalpy vs. T Data Input
Using Model of W.J. Boettinger and U. R. Kattner
and Notebook by K.-W. Moon

Introduction

This Mathematica (Version 4.1) notebook file is used to predict Differential Thermal Analysis Curves for a user-specified sample enthalpy - temperture relation and for a user-specified set of  instrument parameters. Its primary use is to provide DTA users with information on what to expect from DTA curves under known conditions so that real DTA data can be more easily interpreted.
The notebook follows the model developed by W.J. Boettinger and U. R. Kattner (Metall. Mater. Trans. A, Vol. 33A, No. 6, (2002) pp. 1779) The instrument parameters are time constants, heating rate, crucible thermal properties and sample mass.  The instrument  time constants of this example notebook are determined from experiments on the melting of pure Ni for a  Perkin-Elmer DTA1700. (The user should determine time constants and crucible thermal properties appropriate to his/her particular instrument.) The enthalpy-temperature data used for this example are obtained by thermodynamic calculation and stored simply as two columns (temperature, enthalpy) in a ASCII file that is read by the notebook script.   Two enthalpy files are available for Scheil and lever solidification of UDIMET 700.  The calculations were carried out with the NIST solidification programs and Thermotech's Ni-Data database (http://www.thermotech.co.uk/databases.html).

Disclaimer: Commercial equipment and materials are identified in orer to adequately specify certain procedures.  In no case does such identification imply recommendation or endorsement by the National Institute of Standards and Technology, nor does it imply that the materials or equipment identified are necessarily the best available for the purpose.

1. Initialization of Notebook

Initialisation of Notebook

2. Input DTA Parameters and Scheil Calculations
NOTE: Typical values from Boettinger and Kattner (2002) are red, and  several other choices for input values are blue.

2-1. Input DTA Parameters

Input DTA Parameters

2-2. Calculate Thermal Mass of Sample and Crucible

Calculate Thermal Mass of Sample and Crucible
Mathematica Output

2-3. Input and Interpolate Enthalpy-Temperature Data
Comment:  H must be in  J/g (kJ / kg)

Input and Interpolate Enthalpy-Temperature Data
Mathematica Output
Mathematica Output
Mathematica Output

Temperature - Enthalpy Curve

Mathematica Output

2-4. Input Temperature Region of Interest

Input Temperature Region of Interest/Moon
Mathematica Output
Mathematica Output

Temperature - Enthalpy Curve

Mathematica Output

Temperature - Heat Capacity Curve

Mathematica Output

3. Define TW[t]

Define TW[t]
Wall Temperature Function

4. Solution for the DTA Heating Curve

Solution for the DTA Heating Curve

5. Output Results

Output: Results
Output File Info

Temperature - Enthalpy Curve

Temperature - Heat Capacity Curve

Time - Sample/TC/Wall Temperature Curves

TC Temperature - Delta Temperature Curve

6. Export Data and Plots

6-1. Set Directory for Output

Set Directory for Output
Mathematica Output

6-2. Export Data and Plots

Export Data and Plots
Output Files

5-3. Save Notebook

Save Notebook

Converted by Mathematica NIST_udimet700.html      August 19, 2002

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Last modified: 15 August 2017