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Chapman-Jouguet (CJ) Gaseous Detonation Velocity & Pressure Calculator

Easily calculate and compute chapman-jouguet (cj) gaseous detonation velocity & pressure calculator with accurate equations, live formulas, and expert guidance.

Stoichiometric H2-O2 ≈ 3.5e6 J/kg; stoichiometric CH4-O2 ≈ 2.8e6 J/kg.

Unburned density.

Ambient pressure.

High-temperature dissociation products γ ≈ 1.20 to 1.30.

Calculated Result
1,984 m/s

CJ Velocity (D_CJ)

CJ Velocity (D_CJ)

1,984 m/s

Chapman Jouguet Velocity M Per Sec

1984

Cj Detonation Pressure Bar

21

Von Neumann Spike Pressure Bar

42

Detonation Pressure Ratio

21

1,984 — m/s

Calculation Breakdown

  1. Applied FormulaCalculates the supersonic Chapman-Jouguet (CJ) detonation wave velocity, peak detonation pressure, and Von Neumann leading shock spike pressure in combustible gases.D_{\text{CJ}} = \sqrt{2(\gamma^2 - 1) q}, \quad P_{\text{CJ}} = \frac{\rho_1 D_{\text{CJ}}^2}{\gamma + 1}

CJ Detonation Velocity Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.04969921.5k2.0kCJ Velocity (D_CJ)

What Is the Chapman-Jouguet (CJ) Gaseous Detonation Velocity & Pressure Calculator?

This tool computes chapman-jouguet (cj) gaseous detonation velocity & pressure calculator with high precision arithmetic.

How Does the Chapman-Jouguet (CJ) Gaseous Detonation Velocity & Pressure Calculator Work?

Calculates the supersonic Chapman-Jouguet (CJ) detonation wave velocity, peak detonation pressure, and Von Neumann leading shock spike pressure in combustible gases.

Chapman-Jouguet (CJ) Gaseous Detonation Velocity & Pressure Calculator Formula & Variables

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

DCJ=2(γ2−1)q,PCJ=ρ1DCJ2γ+1D_{\text{CJ}} = \sqrt{2(\gamma^2 - 1) q}, \quad P_{\text{CJ}} = \frac{\rho_1 D_{\text{CJ}}^2}{\gamma + 1}

Calculates the supersonic Chapman-Jouguet (CJ) detonation wave velocity, peak detonation pressure, and Von Neumann leading shock spike pressure in combustible gases.

How to Use the Chapman-Jouguet (CJ) Gaseous Detonation Velocity & Pressure Calculator

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

Step-by-Step Example Calculation

Chapman-Jouguet (CJ) Gaseous Detonation Velocity & Pressure Calculator Example

Input Values:

specificHeatReleaseJoulesPerKg:3500000
initialGasDensityKgPerM3:1.2
initialPressureBar:1
productSpecificHeatRatioGamma:1.25
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required 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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