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Industrial Dust Explosion Deflagration Index (K_st) & Vent Area (Cubic Law) Calculator

Easily calculate and compute industrial dust explosion deflagration index (k_st) & vent area (cubic law) calculator with accurate equations, live formulas, and expert guidance.

Measured in 20-L sphere or 1-m³ test vessel.

Standard 20-L sphere = 0.020 m³; 1 m³ vessel = 1.0 m³.

Peak closed-vessel deflagration pressure ~7 to 10 bar.

Calculated Result
176 bar·m/s

K_st Index

K_st Index

176 bar·m/s

Deflagration Index K St Bar M Per S

176

Nfpa Dust Hazard Class

St 1 (0 < K_st <= 200 bar·m/s: Weak to moderately explosive dust, e.g. grain, coal, sugar, polyethylene)

Maximum Explosion Pressure Pmax Bar

8.5

Venting Requirement

NFPA 68 / EN 14491 deflagration vent area sizing required to prevent catastrophic silo rupture

176 — bar·m/s

Calculation Breakdown

  1. Applied FormulaCalculates the standardized dust explosion deflagration severity index (K_st) and NFPA dust explosion hazard class (St 1, St 2, St 3) using Bartknecht’s cubic law.K_{\text{st}} = \left(\frac{dP}{dt}\right)_{\max} V^{1/3}

Dust Explosion (K_st & P_max) Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.04488132176K_st Index

What Is the Industrial Dust Explosion Deflagration Index (K_st) & Vent Area (Cubic Law) Calculator?

This tool computes industrial dust explosion deflagration index (k_st) & vent area (cubic law) calculator with high precision arithmetic.

How Does the Industrial Dust Explosion Deflagration Index (K_st) & Vent Area (Cubic Law) Calculator Work?

Calculates the standardized dust explosion deflagration severity index (K_st) and NFPA dust explosion hazard class (St 1, St 2, St 3) using Bartknecht’s cubic law.

Industrial Dust Explosion Deflagration Index (K_st) & Vent Area (Cubic Law) Calculator Formula & Variables

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

Kst=(dPdt)max⁡V1/3K_{\text{st}} = \left(\frac{dP}{dt}\right)_{\max} V^{1/3}

Calculates the standardized dust explosion deflagration severity index (K_st) and NFPA dust explosion hazard class (St 1, St 2, St 3) using Bartknecht’s cubic law.

How to Use the Industrial Dust Explosion Deflagration Index (K_st) & Vent Area (Cubic Law) Calculator

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

Step-by-Step Example Calculation

Industrial Dust Explosion Deflagration Index (K_st) & Vent Area (Cubic Law) Calculator Example

Input Values:

maxRateOfPressureRiseBarPerSec:650
testVesselVolumeM3:0.02
maximumExplosionPressurePmaxBar:8.5
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required bar·m/s.

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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