Wageningen B-Series Solver

OPTIMUM PEAK TELEMETRY
Advance Coeff. (J) 0.000
Thrust Coeff. (K_T) 0.000
Max Open Eff. (η_0) 0.0%
BLADES: 4 | DAR: 0.80
Hydrodynamics Standard

Wageningen B-Series Analysis

Mathematical verification of open water performance characteristics using standardized polynomial calculations scaled by exact Reynolds corrections.

Open-water performance is plotted as non-dimensional coefficients across variations of the advance coefficient $J$:

Advance Coefficient Equation
$$J = \frac{V_A}{n \cdot D}$$

Relates velocity of advance $V_A$ to rotational frequency $n$ and mechanical diameter $D$.

Thrust & Scaled Torque Polynomial Formulas
$$K_T = \frac{T}{\rho \cdot n^2 \cdot D^4}$$
$$10 \cdot K_Q = 10 \cdot \left[ \frac{Q}{\rho \cdot n^2 \cdot D^5} \right]$$

Calculated dynamically across 47 individual regression terms matching real tank test documentation.

Open Water Propulsion Efficiency
$$\eta_0 = \frac{J \cdot K_T}{2\pi \cdot K_Q}$$

Calculates total mechanical work output relative to the engine rotational torque applied to the hub shaft.

Interactive Tutorial

Application Workspace Guide

Maximize workspace efficiency by interacting with the control layers:

1

Real-time Parametric Scaling Sliders

Adjust blade count ($Z$), area profiles ($A_E/A_O$), boundary pitch envelopes, and Reynolds viscous scales to instantly recalculate performance profiles.

2

Multi-Curve Dropdown Selector

Isolate and debug specific mechanical output variables using the toolbar filtering controls directly above the analytical diagram.

3

Fluid Flow Viewport Engineering

Drag within the WebGL display box to inspect blade pitch geometry. Velocity streamlines accelerate and tighten interactively based on user inputs.