Flow velocity given whirl velocity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Flow velocity at inlet = Whirl velocity at inlet*tan(Guide blade angle)
Vf1 = Vw1*tan(α)
This formula uses 1 Functions, 3 Variables
Functions Used
tan - Trigonometric tangent function, tan(Angle)
Variables Used
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.
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.
Guide blade angle - (Measured in Radian) - Guide blade angle is defined as the angle between the direction of jet and direction of motion of the plate.
STEP 1: Convert Input(s) to Base Unit
Whirl velocity at inlet: 11 Meter per Second --> 11 Meter per Second No Conversion Required
Guide blade angle: 10 Degree --> 0.1745329251994 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vf1 = Vw1*tan(α) --> 11*tan(0.1745329251994)
Evaluating ... ...
Vf1 = 1.93959678779274
STEP 3: Convert Result to Output's Unit
1.93959678779274 Meter per Second --> No Conversion Required
FINAL ANSWER
1.93959678779274 Meter per Second <-- Flow velocity at inlet
(Calculation completed in 00.016 seconds)

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7 Kaplan Turbine Calculators

Diameter of hub given discharge
Diameter of hub = sqrt((Outer diameter of runner^2)-((4/pi)*(Volume Flow Rate/Flow velocity at inlet))) Go
Outer diameter of runner
Outer diameter of runner = sqrt((Volume Flow Rate/Flow velocity at inlet)*(4/pi)+(Diameter of hub^2)) Go
Vane angle at inlet and outlet at extreme edge of runner
Vane angle at inlet = atan((Flow velocity at inlet)/(Whirl velocity at inlet-Velocity of the vane at the inlet)) Go
Velocity of flow at inlet
Flow velocity at inlet = Volume Flow Rate/((pi/4)*((Outer diameter of runner^2)-(Diameter of hub^2))) Go
Discharge through runner
Volume Flow Rate = (pi/4)*((Outer diameter of runner^2)-(Diameter of hub^2))*Flow velocity at inlet Go
Flow velocity given whirl velocity
Flow velocity at inlet = Whirl velocity at inlet*tan(Guide blade angle) Go
Whirl velocity at inlet
Whirl velocity at inlet = Flow velocity at inlet/tan(Guide blade angle) Go

Flow velocity given whirl velocity Formula

Flow velocity at inlet = Whirl velocity at inlet*tan(Guide blade angle)
Vf1 = Vw1*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 Flow velocity given whirl velocity?

Flow velocity given whirl velocity calculator uses Flow velocity at inlet = Whirl velocity at inlet*tan(Guide blade angle) to calculate the Flow velocity at inlet, The Flow velocity given whirl velocity formula is used to find the normal component of absolute jet velocity at inlet. Flow velocity at inlet is denoted by Vf1 symbol.

How to calculate Flow velocity given whirl velocity using this online calculator? To use this online calculator for Flow velocity given whirl velocity, enter Whirl velocity at inlet (Vw1) & Guide blade angle (α) and hit the calculate button. Here is how the Flow velocity given whirl velocity calculation can be explained with given input values -> 1.939597 = 11*tan(0.1745329251994).

FAQ

What is Flow velocity given whirl velocity?
The Flow velocity given whirl velocity formula is used to find the normal component of absolute jet velocity at inlet and is represented as Vf1 = Vw1*tan(α) or Flow velocity at inlet = Whirl velocity at inlet*tan(Guide blade angle). Whirl velocity at inlet is defined as the component of velocity of jet in the direction of motion of the vane & Guide blade angle is defined as the angle between the direction of jet and direction of motion of the plate.
How to calculate Flow velocity given whirl velocity?
The Flow velocity given whirl velocity formula is used to find the normal component of absolute jet velocity at inlet is calculated using Flow velocity at inlet = Whirl velocity at inlet*tan(Guide blade angle). To calculate Flow velocity given whirl velocity, you need Whirl velocity at inlet (Vw1) & Guide blade angle (α). With our tool, you need to enter the respective value for Whirl 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.
How many ways are there to calculate Flow velocity at inlet?
In this formula, Flow velocity at inlet uses Whirl velocity at inlet & Guide blade angle. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Flow velocity at inlet = Volume Flow Rate/((pi/4)*((Outer diameter of runner^2)-(Diameter of hub^2)))
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