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Fick's Second Law Steel Gas Carburizing & Case Depth Calculator

Easily calculate and compute fick's second law steel gas carburizing & case depth calculator with accurate equations, live formulas, and expert guidance.

Atmosphere carbon potential maintained at steel surface.

Base steel alloy carbon content (e.g. AISI 8620 = 0.20 wt%).

Threshold carbon defining effective case hardness (standard 0.40 wt%).

Carbon diffusivity in austenite at process temp (e.g. 1.28e-11 m²/s at 930°C).

Holding duration at carburizing temperature.

Calculated Result
0.74 mm

Case Depth

Case Depth

0.74 mm

Effective Case Depth Mm

0.74

Effective Case Depth Inches

0.029

Dimensionless Arg Z

0.814

Total Diffusion Time Seconds

16200

0.74 — mm

Calculation Breakdown

  1. Applied FormulaSolves the error function complementary solution of Fick second law to calculate effective carbon diffusion case depth in steel carburizing.x = 2 z \sqrt{D t}, \quad z = \text{erf}^{-1}\left(\frac{C_s - C_x}{C_s - C_0}\right)

Carburizing Case Depth Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.30.50.81.0Case Depth

What Is the Fick's Second Law Steel Gas Carburizing & Case Depth Calculator?

This tool computes fick's second law steel gas carburizing & case depth calculator with high precision arithmetic.

How Does the Fick's Second Law Steel Gas Carburizing & Case Depth Calculator Work?

Solves the error function complementary solution of Fick second law to calculate effective carbon diffusion case depth in steel carburizing.

Fick's Second Law Steel Gas Carburizing & Case Depth Calculator Formula & Variables

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

x=2zDt,z=erf−1(Cs−CxCs−C0)x = 2 z \sqrt{D t}, \quad z = \text{erf}^{-1}\left(\frac{C_s - C_x}{C_s - C_0}\right)

Solves the error function complementary solution of Fick second law to calculate effective carbon diffusion case depth in steel carburizing.

How to Use the Fick's Second Law Steel Gas Carburizing & Case Depth Calculator

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

Step-by-Step Example Calculation

Fick's Second Law Steel Gas Carburizing & Case Depth Calculator Example

Input Values:

surfaceCarbonContentCs:1.0
initialCoreCarbonC0:0.20
targetCaseCarbonCx:0.40
diffusionCoefficientM2S:1.28e-11
carburizingTimeHoursT:4.5
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required mm.

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.

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