Skip to main content
CalcPro

Constitutional Supercooling & Solidification Interface Stability Calculator (Tiller Criterion)

Easily calculate and compute constitutional supercooling & solidification interface stability calculator (tiller criterion) with accurate equations, live formulas, and expert guidance.

Temperature gradient in liquid ahead of solid-liquid interface.

Interface advance rate (e.g. 0.1 mm/s = 1e-4 m/s).

Liquid diffusion coefficient.

Magnitude of liquidus slope from phase diagram.

Nominal alloy composition.

k = Cs / Cl.

Calculated Result
0.02

Stability Ratio

Stability Ratio

0.02

Interface Stability Ratio

0.02

Actual Gradient To Velocity Ratio

80000000

Critical Gradient To Velocity Ratio

4952380952

Solidification Morphology

CELLULAR / DENDRITIC BREAKDOWN (Constitutional supercooling present)

0.02

Calculation Breakdown

  1. Applied FormulaEvaluates the constitutional supercooling criterion of Tiller et al. to determine whether solidifying alloy interfaces remain planar or destabilize into cellular/dendritic morphology.\Delta T_{CS} = T_{liquidus}(x) - T_{actual}(x)

Constitutional Supercooling Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.30.50.81.0Stability Ratio

What Is the Constitutional Supercooling & Solidification Interface Stability Calculator (Tiller Criterion)?

This tool computes constitutional supercooling & solidification interface stability calculator (tiller criterion) with high precision arithmetic.

How Does the Constitutional Supercooling & Solidification Interface Stability Calculator (Tiller Criterion) Work?

Evaluates the constitutional supercooling criterion of Tiller et al. to determine whether solidifying alloy interfaces remain planar or destabilize into cellular/dendritic morphology.

Constitutional Supercooling & Solidification Interface Stability Calculator (Tiller Criterion) Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

ΔTCS=Tliquidus(x)−Tactual(x)\Delta T_{CS} = T_{liquidus}(x) - T_{actual}(x)

Evaluates the constitutional supercooling criterion of Tiller et al. to determine whether solidifying alloy interfaces remain planar or destabilize into cellular/dendritic morphology.

How to Use the Constitutional Supercooling & Solidification Interface Stability Calculator (Tiller Criterion)

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Constitutional Supercooling & Solidification Interface Stability Calculator (Tiller Criterion) Example

Input Values:

temperatureGradientGLKPerM:8000.0
growthVelocityVMPerS:0.0001
soluteLiquidDiffusivityM2S:3.0e-9
liquidusSlopeMKPerWtPct:3.2
nominalSoluteConcentrationC0:2.5
partitionCoefficientK:0.35
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required Stability Ratio.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

\n

Related Calculators

Explore more tools and calculators in Chemistry Calculators

Length Converter

Convert length and distance between metric and imperial units including meters, feet, inches, kilometers, miles, and yards with exact SI definitions.

Percentage Calculator

Calculate percentages: what % X is of Y, P% of X, % change, discount price, and percentage points.

Temperature Converter

Convert temperatures between Celsius (°C), Fahrenheit (°F), Kelvin (K), and Rankine (°R) with step-by-step thermodynamic formulas.

Rachford-Rice Flash Vaporization Calculator

Solves the nonlinear Rachford-Rice flash equation for vapor fraction (V/F) and equilibrium phase split in multicomponent hydrocarbon mixtures.

Hydrogen Electrolyzer Faradaic & Voltage Efficiency Calculator

Calculates water electrolysis Faradaic efficiency, cell voltage efficiency, and specific electrical energy consumption (kWh/Nm³ H2).

Lithium-Ion Battery Capacity Fade & State of Health Calculator

Calculates lithium-ion battery calendar aging, cyclic degradation, remaining capacity, and State of Health (SoH) over operational lifetime.