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Swirl Combustor Swirl Number (S) & Recirculation Zone Calculator

Easily calculate and compute swirl combustor swirl number (s) & recirculation zone calculator with accurate equations, live formulas, and expert guidance.

Calculated Result
0.74 ratio

Swirl Geometric Number (S)

Swirl Geometric Number (S)

0.74 ratio

Hub To Tip Radius Ratio

0.4

Recirculation Zone Status

INTERNAL VORTEX BREAKDOWN FORMED (Strong Central Recirculation Zone - Aerodynamically Anchored Flame)

0.74 — ratio

Calculation Breakdown

  1. Applied FormulaSizes axial-tangential swirler vanes for gas turbine combustors and industrial low-NOx burners, determining the critical swirl number (S >= 0.6) for vortex breakdown recirculation.S = \frac{\int_0^R \rho u w r^2 \, dr}{R \int_0^R \rho u^2 r \, dr} \approx \frac{2}{3} \tan\theta_{\text{vane}} \left( \frac{1 - (R_h/R)^3}{1 - (R_h/R)^2} \right)

Combustor Swirl Number S Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.30.50.81.0Swirl Geometric Number (S)

What Is the Swirl Combustor Swirl Number (S) & Recirculation Zone Calculator?

This tool computes swirl combustor swirl number (s) & recirculation zone calculator with high precision arithmetic.

How Does the Swirl Combustor Swirl Number (S) & Recirculation Zone Calculator Work?

Sizes axial-tangential swirler vanes for gas turbine combustors and industrial low-NOx burners, determining the critical swirl number (S >= 0.6) for vortex breakdown recirculation.

Swirl Combustor Swirl Number (S) & Recirculation Zone Calculator Formula & Variables

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

S=∫0Rρuwr2 drR∫0Rρu2r dr≈23tan⁡θvane(1−(Rh/R)31−(Rh/R)2)S = \frac{\int_0^R \rho u w r^2 \, dr}{R \int_0^R \rho u^2 r \, dr} \approx \frac{2}{3} \tan\theta_{\text{vane}} \left( \frac{1 - (R_h/R)^3}{1 - (R_h/R)^2} \right)

Sizes axial-tangential swirler vanes for gas turbine combustors and industrial low-NOx burners, determining the critical swirl number (S >= 0.6) for vortex breakdown recirculation.

How to Use the Swirl Combustor Swirl Number (S) & Recirculation Zone Calculator

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

Step-by-Step Example Calculation

Swirl Combustor Swirl Number (S) & Recirculation Zone Calculator Example

Input Values:

swirlVaneAngleDeg:45
outerNozzleRadiusMm:50
innerHubRadiusMm:20
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required 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.

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