Power Developed by Turbine Calculator

✖Density of Liquid is mass of a unit volume of a material substance.ⓘ Density of Liquid [ρ₁]			+10% -10%
✖Discharge is the rate of flow of a liquid.ⓘ Discharge [Q]			+10% -10%
✖The Velocity of Whirl at Inlet is the tangential component of the absolute velocity.ⓘ Velocity of Whirl at Inlet [V_w1]			+10% -10%
✖Tangential Velocity at Inlet is the velocity of fluid at inlet direction normal to any radius.ⓘ Tangential Velocity at Inlet [C_t1]			+10% -10%

✖Power developed by turbine is defined as a rotary mechanical device that extracts energy from a fluid flow and converts it into useful work.ⓘ Power Developed by Turbine [P_turbine]

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Formula

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Power Developed by Turbine

Formula

`"P"_{"turbine"} = "ρ"_{"1"}*"Q"*"V"_{"w1"}*"C"_{"t1"}`

Example

`"120.064W"="4kg/m³"*"1.072m³/s"*"2m/s"*"14m/s"`

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Power Developed by Turbine Solution

STEP 0: Pre-Calculation Summary

Formula Used

Power Developed by Turbine = Density of Liquid*Discharge*Velocity of Whirl at Inlet*Tangential Velocity at Inlet
P_turbine = ρ₁*Q*V_w1*C_t1
This formula uses 5 Variables

Variables Used

Power Developed by Turbine - (Measured in Watt) - Power developed by turbine is defined as a rotary mechanical device that extracts energy from a fluid flow and converts it into useful work.
Density of Liquid - (Measured in Kilogram per Cubic Meter) - Density of Liquid is mass of a unit volume of a material substance.
Discharge - (Measured in Cubic Meter per Second) - Discharge is the rate of flow of a liquid.
Velocity of Whirl at Inlet - (Measured in Meter per Second) - The Velocity of Whirl at Inlet is the tangential component of the absolute velocity.
Tangential Velocity at Inlet - (Measured in Meter per Second) - Tangential Velocity at Inlet is the velocity of fluid at inlet direction normal to any radius.

STEP 1: Convert Input(s) to Base Unit

Density of Liquid: 4 Kilogram per Cubic Meter --> 4 Kilogram per Cubic Meter No Conversion Required
Discharge: 1.072 Cubic Meter per Second --> 1.072 Cubic Meter per Second No Conversion Required
Velocity of Whirl at Inlet: 2 Meter per Second --> 2 Meter per Second No Conversion Required
Tangential Velocity at Inlet: 14 Meter per Second --> 14 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_turbine = ρ₁*Q*V_w1*C_t1 --> 4*1.072*2*14

Evaluating ... ...

P_turbine = 120.064

STEP 3: Convert Result to Output's Unit

120.064 Watt --> No Conversion Required

FINAL ANSWER

120.064 Watt <-- Power Developed by Turbine

(Calculation completed in 00.004 seconds)

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< 9 Hydrodynamics Basics Calculators

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Go Torque Exerted on Wheel = Density of Liquid*Discharge*(Velocity at Section 1-1*Radius of Curvature at Section 1-Velocity at Section 2-2*Radius of Curvature at Section 2)

Poiseuille's Formula

Go Volumetric Flow Rate of Feed to Reactor = Pressure Changes*pi/8*(Pipe Radius^4)/(Dynamic Viscosity*Length)

Power Developed by Turbine

Go Power Developed by Turbine = Density of Liquid*Discharge*Velocity of Whirl at Inlet*Tangential Velocity at Inlet

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Go Reynolds Number = (Density of Liquid*Fluid Velocity*Pipe Diameter)/Dynamic Viscosity

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Go Reynolds Number = Density of Liquid*Velocity*Length/Kinematic Viscosity

Power Required to Overcome Frictional Resistance in Laminar Flow

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Power

Go Power Generated = Force on Fluid Element*Change in Velocity

Reynolds Number given Frictional Factor of Laminar Flow

Go Reynolds Number = 64/Friction Factor

Power Developed by Turbine Formula

Power Developed by Turbine = Density of Liquid*Discharge*Velocity of Whirl at Inlet*Tangential Velocity at Inlet
P_turbine = ρ₁*Q*V_w1*C_t1

What is the power produced by the turbine?

In a turbine generator, a moving fluid—water, steam, combustion gases, or air—pushes a series of blades mounted on a rotor shaft. The force of the fluid on the blades spins/rotates the rotor shaft of a generator. The generator, in turn, converts the mechanical (kinetic) energy of the rotor to electrical energy.

What is the principle of turbine?

Turbine is a rotary mechanical device that extract the potential energy and Kinetic energy of fluids and convert into mechanical energy. It is a prime mover which transform the energy of working fluid in to mechanical energy of turbine shaft.

How to Calculate Power Developed by Turbine?

Power Developed by Turbine calculator uses Power Developed by Turbine = Density of Liquid*Discharge*Velocity of Whirl at Inlet*Tangential Velocity at Inlet to calculate the Power Developed by Turbine, The Power developed by turbine formula is defined as the force of the fluid on the blades spins/rotates the rotor shaft of a generator. The generator, in turn, converts the mechanical (kinetic) energy of the rotor to electrical energy. Power Developed by Turbine is denoted by P_turbine symbol.

How to calculate Power Developed by Turbine using this online calculator? To use this online calculator for Power Developed by Turbine, enter Density of Liquid (ρ₁), Discharge (Q), Velocity of Whirl at Inlet (V_w1) & Tangential Velocity at Inlet (C_t1) and hit the calculate button. Here is how the Power Developed by Turbine calculation can be explained with given input values -> 113.232 = 4*1.072*2*14.

FAQ

What is Power Developed by Turbine?

The Power developed by turbine formula is defined as the force of the fluid on the blades spins/rotates the rotor shaft of a generator. The generator, in turn, converts the mechanical (kinetic) energy of the rotor to electrical energy and is represented as P_turbine = ρ₁*Q*V_w1*C_t1 or Power Developed by Turbine = Density of Liquid*Discharge*Velocity of Whirl at Inlet*Tangential Velocity at Inlet. Density of Liquid is mass of a unit volume of a material substance, Discharge is the rate of flow of a liquid, The Velocity of Whirl at Inlet is the tangential component of the absolute velocity & Tangential Velocity at Inlet is the velocity of fluid at inlet direction normal to any radius.

How to calculate Power Developed by Turbine?

The Power developed by turbine formula is defined as the force of the fluid on the blades spins/rotates the rotor shaft of a generator. The generator, in turn, converts the mechanical (kinetic) energy of the rotor to electrical energy is calculated using Power Developed by Turbine = Density of Liquid*Discharge*Velocity of Whirl at Inlet*Tangential Velocity at Inlet. To calculate Power Developed by Turbine, you need Density of Liquid (ρ₁), Discharge (Q), Velocity of Whirl at Inlet (V_w1) & Tangential Velocity at Inlet (C_t1). With our tool, you need to enter the respective value for Density of Liquid, Discharge, Velocity of Whirl at Inlet & Tangential Velocity at Inlet 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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