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Kaplan Turbine Blade Angle, Hub-Tip Diameter & Swirl Calculator

Easily calculate and compute kaplan turbine blade angle, hub-tip diameter & swirl calculator with accurate equations, live formulas, and expert guidance.

Calculated Result
29.7 degrees

Runner Blade Pitch Angle (β)

Runner Blade Pitch Angle (β)

29.7 degrees

Hub Diameter Meters

1.52

Axial Throughflow Velocity M Per S

8.92

Mean Peripheral Blade Speed M Per S

20.9

Turbine Power Output Mw

13.8

29.7 — degrees

Calculation Breakdown

  1. Applied FormulaModels double-regulated low-head axial Kaplan turbines, wicket gate and runner blade tilt correlation, hub-to-tip diameter ratio (Dh/Dt), and discharge axial velocity.v_a = \frac{4 Q}{\pi (D_t^2 - D_h^2)}, \quad \tan \beta = \frac{v_a}{u - \frac{g H \eta_h}{u}}, \quad \text{Range: } 5\text{ to }70\,\text{m head}

Kaplan Blade Angle & Hub Sizing Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.07.4152230Runner Blade Pitch Angle (β)

What Is the Kaplan Turbine Blade Angle, Hub-Tip Diameter & Swirl Calculator?

This tool computes kaplan turbine blade angle, hub-tip diameter & swirl calculator with high precision arithmetic.

How Does the Kaplan Turbine Blade Angle, Hub-Tip Diameter & Swirl Calculator Work?

Models double-regulated low-head axial Kaplan turbines, wicket gate and runner blade tilt correlation, hub-to-tip diameter ratio (Dh/Dt), and discharge axial velocity.

Kaplan Turbine Blade Angle, Hub-Tip Diameter & Swirl Calculator Formula & Variables

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

va=4Qπ(Dt2−Dh2),tan⁡β=vau−gHηhu,Range: 5 to 70 m headv_a = \frac{4 Q}{\pi (D_t^2 - D_h^2)}, \quad \tan \beta = \frac{v_a}{u - \frac{g H \eta_h}{u}}, \quad \text{Range: } 5\text{ to }70\,\text{m head}

Models double-regulated low-head axial Kaplan turbines, wicket gate and runner blade tilt correlation, hub-to-tip diameter ratio (Dh/Dt), and discharge axial velocity.

How to Use the Kaplan Turbine Blade Angle, Hub-Tip Diameter & Swirl Calculator

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

Step-by-Step Example Calculation

Kaplan Turbine Blade Angle, Hub-Tip Diameter & Swirl Calculator Example

Input Values:

netHeadMeters:18
flowRateM3PerS:85
runnerTipDiameterMeters:3.8
rotationalSpeedRpm:150
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required degrees.

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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