Using time-step analysis to simulate Scheils equation

  • Thread starter Thread starter Krikor Hagopian
  • Start date Start date
  • Tags Tags
    Analysis
Click For Summary
SUMMARY

This discussion focuses on performing numerical analysis using Excel to simulate Scheil's equation. The user reports that the concentration profiles diverge after approximately 50 data points, indicating potential issues with the implementation. Key suggestions include checking for large denominators and verifying the accuracy of the Scheil's equation implementation. An Excel file was shared for further analysis.

PREREQUISITES
  • Understanding of Scheil's equation and its applications in materials science.
  • Proficiency in Excel for data analysis and graphing.
  • Knowledge of numerical analysis techniques, particularly time-step analysis.
  • Familiarity with mathematical concepts such as exponents and their impact on calculations.
NEXT STEPS
  • Verify the implementation of Scheil's equation in Excel.
  • Learn about numerical stability in time-step analysis.
  • Investigate methods to handle large denominators in numerical calculations.
  • Explore advanced Excel functions for data validation and error checking.
USEFUL FOR

Researchers, materials scientists, and data analysts who are simulating phase diagrams or concentration profiles using numerical methods in Excel.

Krikor Hagopian
Messages
2
Reaction score
0
Using excel, I tried to do a numerical analysis to get the same results as scheils equation. The problem is that the two concentration profiles start diverging at the end. The numerical analysis is offcourse based on time-step analysis.

I have uploaded the excel file.

Much Gratitude,
 

Attachments

Engineering news on Phys.org
Its going to take too much time to try and reverse engineer your excel file.
How are you going about your numerical analysis, which columns are being plotted? It looks like the data diverges after the first 50 points or so, sharing only the first point in common.
Based off of the graph your problem probably lies in a denominator getting really big; check for any exponents that are negative and try to verify that your implementation of the Scheils equation is correct.
 

Similar threads

Can diffusion be modelled as one-dimensional in this problem?
  • · Replies 20 ·
Replies
20
Views
4K
Random Vibration Fatigue Analysis
  • · Replies 4 ·
Replies
4
Views
3K
I need help please for Simulation of Xenon Oscillations in a Nuclear Reactor
  • · Replies 4 ·
Replies
4
Views
2K
Engineering Unable to model Transresistance amplifier with feedback correctly
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad What is the Purpose of Modal Analysis in Mechanical Systems?
  • · Replies 1 ·
Replies
1
Views
2K
Courses Math Course Advice -- Harvard freshman planning to double major in physics and mathematics
  • · Replies 41 ·
2
Replies
41
Views
9K
Steady State Thermal Analysis - Simulation
  • · Replies 4 ·
Replies
4
Views
1K
Undergrad Justification (or philosophy) of modal analysis
  • · Replies 3 ·
Replies
3
Views
2K
How is KVL used in the node method KCL equations?
  • · Replies 3 ·
Replies
3
Views
2K
Construction of a model of a hydraulic damper
  • · Replies 21 ·
Replies
21
Views
2K