University | Nanyang Technological University (NTU) |
Subject | MS2016: Phase Transformation and Kinetics |
Part 1 – Data Analysis
Plot Dilatometer vs Temperature
Identify 1 and 2 Phase Regions
Find a Linear Equation for Each 1 Phase Field
Calculate the Fraction Transformed
Plot Fraction Transformed vs Temperature
Plot ln(b) vs Temperature
- Solve the constants for the equation: ln(b) = m T + k
- The resulting equation is the rate parameter “b” as a function of temperature.
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Part 2: Modelling
Instructions
- Determine the cooling rate from the data.
- Develop a table as indicated on the left.
- The time increases with the time stamp, which you should determine as reasonable for your model. It should give you 100-200 points through the transformation range at least.
- The temperature can be calculated based on the cooling rate and the time step. The first value of temperature is where you start your model.
- The rate parameter can be calculated from the equation you found.
- dX/dt can be calculated with the rate parameter.
- The fraction transformed can be calculated as:
X1= X0 + dX/dt (t1-t0)
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