Whirl velocity at inlet Calculator

✖Flow Velocity at Inlet is the velocity of the flow at the entrance of the turbine.ⓘ Flow Velocity at Inlet [V_fi]			+10% -10%
✖Guide Blade Angle is defined as the angle between the direction of the jet and the direction of motion of the plate.ⓘ Guide Blade Angle [α]			+10% -10%

✖Whirl Velocity at Inlet is defined as the component of velocity of jet in the direction of motion of the vane.ⓘ Whirl velocity at inlet [V_wi]

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Whirl velocity at inlet Solution

STEP 0: Pre-Calculation Summary

Formula Used

Whirl Velocity at Inlet = Flow Velocity at Inlet/tan(Guide Blade Angle)
V_wi = V_fi/tan(α)
This formula uses 1 Functions, 3 Variables

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)

Variables Used

Whirl Velocity at Inlet - (Measured in Meter per Second) - Whirl Velocity at Inlet is defined as the component of velocity of jet in the direction of motion of the vane.
Flow Velocity at Inlet - (Measured in Meter per Second) - Flow Velocity at Inlet is the velocity of the flow at the entrance of the turbine.
Guide Blade Angle - (Measured in Radian) - Guide Blade Angle is defined as the angle between the direction of the jet and the direction of motion of the plate.

STEP 1: Convert Input(s) to Base Unit

Flow Velocity at Inlet: 5.84 Meter per Second --> 5.84 Meter per Second No Conversion Required
Guide Blade Angle: 11.03 Degree --> 0.192509816494938 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_wi = V_fi/tan(α) --> 5.84/tan(0.192509816494938)

Evaluating ... ...

V_wi = 29.9604337421793

STEP 3: Convert Result to Output's Unit

29.9604337421793 Meter per Second --> No Conversion Required

FINAL ANSWER

29.9604337421793 ≈ 29.96043 Meter per Second <-- Whirl Velocity at Inlet

(Calculation completed in 00.004 seconds)

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Created by Peri Krishna Karthik

National Institute of Technology Calicut (NIT Calicut), Calicut, Kerala

Peri Krishna Karthik has created this Calculator and 200+ more calculators!

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National Institute Of Technology (NIT), Hamirpur

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< Kaplan Turbine Calculators

Diameter of hub given discharge

LaTeX Go Diameter of Hub = sqrt(Outer Diameter of Runner^2-(4/pi*Volume Flow Rate/Flow Velocity at Inlet))

Outer diameter of runner

LaTeX Go Outer Diameter of Runner = sqrt(Volume Flow Rate/Flow Velocity at Inlet*4/pi+Diameter of Hub^2)

Velocity of flow at inlet

LaTeX Go Flow Velocity at Inlet = Volume Flow Rate/(pi/4*(Outer Diameter of Runner^2-Diameter of Hub^2))

Discharge through runner

LaTeX Go Volume Flow Rate = pi/4*(Outer Diameter of Runner^2-Diameter of Hub^2)*Flow Velocity at Inlet

Whirl velocity at inlet Formula

LaTeX Go

Whirl Velocity at Inlet = Flow Velocity at Inlet/tan(Guide Blade Angle)
V_wi = V_fi/tan(α)

How does Kaplan turbine operate?

The Kaplan turbine is an inward flow reaction turbine, which means that the working fluid changes pressure as it moves through the turbine and gives up its energy. Power is recovered from both the hydrostatic head and from the kinetic energy of the flowing water. The design combines features of radial and axial turbines. The inlet is a scroll-shaped tube that wraps around the turbine's wicket gate. Water is directed tangentially through the wicket gate and spirals on to a propeller shaped runner, causing it to spin. The outlet is a specially shaped draft tube that helps decelerate the water and recover kinetic energy. The turbine does not need to be at the lowest point of water flow as long as the draft tube remains full of water. A higher turbine location, however, increases the suction that is imparted on the turbine blades by the draft tube. The resulting pressure drop may lead to cavitation. Kaplan turbine efficiencies are typically over 90%, but may be lower in very low head applications.

What are the other applications of Kaplan turbine?

Kaplan turbines are widely used throughout the world for electrical power production. They cover the lowest head hydro sites and are especially suited for high flow conditions. Inexpensive micro turbines on the Kaplan turbine model are manufactured for individual power production designed for 3 m of head which can work with as little as 0.3 m of head at a highly reduced performance provided sufficient water flow. Large Kaplan turbines are individually designed for each site to operate at the highest possible efficiency, typically over 90%. They are very expensive to design, manufacture and install, but operate for decades.

How to Calculate Whirl velocity at inlet?

Whirl velocity at inlet calculator uses Whirl Velocity at Inlet = Flow Velocity at Inlet/tan(Guide Blade Angle) to calculate the Whirl Velocity at Inlet, The Whirl velocity at inlet formula is used to find the tangential component of absolute jet velocity at inlet. Whirl Velocity at Inlet is denoted by V_wi symbol.

How to calculate Whirl velocity at inlet using this online calculator? To use this online calculator for Whirl velocity at inlet, enter Flow Velocity at Inlet (V_fi) & Guide Blade Angle (α) and hit the calculate button. Here is how the Whirl velocity at inlet calculation can be explained with given input values -> 29.96043 = 5.84/tan(0.192509816494938).

FAQ

What is Whirl velocity at inlet?

The Whirl velocity at inlet formula is used to find the tangential component of absolute jet velocity at inlet and is represented as V_wi = V_fi/tan(α) or Whirl Velocity at Inlet = Flow Velocity at Inlet/tan(Guide Blade Angle). Flow Velocity at Inlet is the velocity of the flow at the entrance of the turbine & Guide Blade Angle is defined as the angle between the direction of the jet and the direction of motion of the plate.

How to calculate Whirl velocity at inlet?

The Whirl velocity at inlet formula is used to find the tangential component of absolute jet velocity at inlet is calculated using Whirl Velocity at Inlet = Flow Velocity at Inlet/tan(Guide Blade Angle). To calculate Whirl velocity at inlet, you need Flow Velocity at Inlet (V_fi) & Guide Blade Angle (α). With our tool, you need to enter the respective value for Flow Velocity at Inlet & Guide Blade Angle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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