Rachel White

Swirling Jet: Parameter Calculator

Adjust flow rates to compute swirl number, Reynolds number, and cross-sectional areas. Use the manual input section to set specific geometry and run target-driven calculations.

Axial Flow $Q_{ax}$

Value: 0 GPM

Tangential Flow $Q_{tan}$

Value: 0 GPM

Swirl Number (S)

0.00

Reynolds Number (Re)

Total Flow

0 GPM

Nozzle Area (A_N)

0 mm²

Total Inlet Area (A₂)

0 mm²

S & Re vs Q_ax (Q_tan fixed at 0 GPM)

S & Re vs Q_tan (Q_ax fixed at 0 GPM)

Manual Input: Targets & Geometry

Axial Flow (GPM)

Tangential Flow (GPM)

Nozzle diameter $D_N$ (mm)

Swirler inlet diameter $D_2$ (mm)

Number of tangential inlets ($n$)

Inlet height (h) and width (b) (mm)

Target-Driven Calculations

Target Reynolds Number

Enter target Re to solve for the required axial flow rate.

Target Re

Target Total Flow

Enter target Q_total and target S to solve for Q_ax and Q_tan.

Target Q_total (GPM)

Target S

Fundamental Equations

Total Volumetric Flow Rate

\[ Q = Q_{ax} + Q_{tan} \]

Flow Components

\[ Q_{ax} = A_N \bar{v}_{N,ax}, \quad Q_{tan} = A_2 \bar{v}_{2,\theta} \]

Cross-Sectional Areas

\[ A_N = \frac{\pi}{4}D_N^2, \quad A_2 = n(bh) \]

where $n$ is the number of tangential inlets

Governing Equation

\[ \overline{V}_{\theta,N} = \dfrac{3n D_2 \overline{V}_{\theta,2}}{\pi D_N^2} \]

Derived from conservation of angular momentum between the swirler inlet and nozzle exit.