Power Required to Maintain Turbulent Flow Calculator

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Turbulent Flow

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✖Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.ⓘ Density of Fluid [ρ_fluid]			+10% -10%
✖Discharge is the rate of flow of a liquid.ⓘ Discharge [Q]			+10% -10%
✖The Head loss due to friction occurs due to the effect of the fluid's viscosity near the surface of the pipe or duct.ⓘ Head Loss Due to Friction [h_f]			+10% -10%

✖Power is the amount of energy liberated per second in a device.ⓘ Power Required to Maintain Turbulent Flow [P]

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Formula

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Power Required to Maintain Turbulent Flow

Formula

`"P" = "ρ"_{"fluid"}*"[g]"*"Q"*"h"_{"f"}`

Example

`"169.7458W"="1.225kg/m³"*"[g]"*"3m³/s"*"4.71m"`

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Power Required to Maintain Turbulent Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Power = Density of Fluid*[g]*Discharge*Head Loss Due to Friction
P = ρ_fluid*[g]*Q*h_f
This formula uses 1 Constants, 4 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Power - (Measured in Watt) - Power is the amount of energy liberated per second in a device.
Density of Fluid - (Measured in Kilogram per Cubic Meter) - Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.
Discharge - (Measured in Cubic Meter per Second) - Discharge is the rate of flow of a liquid.
Head Loss Due to Friction - (Measured in Meter) - The Head loss due to friction occurs due to the effect of the fluid's viscosity near the surface of the pipe or duct.

STEP 1: Convert Input(s) to Base Unit

Density of Fluid: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic Meter No Conversion Required
Discharge: 3 Cubic Meter per Second --> 3 Cubic Meter per Second No Conversion Required
Head Loss Due to Friction: 4.71 Meter --> 4.71 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = ρ_fluid*[g]*Q*h_f --> 1.225*[g]*3*4.71

Evaluating ... ...

P = 169.7457565125

STEP 3: Convert Result to Output's Unit

169.7457565125 Watt --> No Conversion Required

FINAL ANSWER

169.7457565125 ≈ 169.7458 Watt <-- Power

(Calculation completed in 00.004 seconds)

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PSG College of Technology (PSGCT), Coimbatore

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< 18 Turbulent Flow Calculators

Head Loss due to Friction given Power Required in Turbulent Flow

Go Head Loss Due to Friction = Power/(Density of Fluid*[g]*Discharge)

Discharge through Pipe given Head Loss in Turbulent Flow

Go Discharge = Power/(Density of Fluid*[g]*Head Loss Due to Friction)

Power Required to Maintain Turbulent Flow

Go Power = Density of Fluid*[g]*Discharge*Head Loss Due to Friction

Average Height of Irregularities for Turbulent Flow in Pipes

Go Average Height Irregularities = (Kinematic Viscosity*Roughness Reynold Number)/Shear Velocity

Roughness Reynold Number for Turbulent Flow in Pipes

Go Roughness Reynold Number = (Average Height Irregularities*Shear Velocity)/Kinematic Viscosity

Mean Velocity given Centreline Velocity

Go Mean Velocity = Centreline Velocity/(1.43*sqrt(1+Friction Factor))

Centreline Velocity

Go Centreline Velocity = 1.43*Mean Velocity*sqrt(1+Friction Factor)

Shear Stress in Turbulent Flow

Go Shear Stress = (Density of Fluid*Friction Factor*Velocity^2)/2

Shear Velocity given Mean Velocity

Go Shear Velocity 1 = Mean Velocity*sqrt(Friction Factor/8)

Shear Velocity for Turbulent Flow in Pipes

Go Shear Velocity = sqrt(Shear Stress/Density of Fluid)

Boundary Layer Thickness of Laminar Sublayer

Go Boundary Layer Thickness = (11.6*Kinematic Viscosity)/(Shear Velocity)

Shear Velocity given Centreline Velocity

Go Shear Velocity 1 = (Centreline Velocity-Mean Velocity)/3.75

Centreline Velocity given Shear and Mean Velocity

Go Centreline Velocity = 3.75*Shear Velocity+Mean Velocity

Mean Velocity given Shear Velocity

Go Mean Velocity = 3.75*Shear Velocity-Centreline Velocity

Shear Stress Developed for Turbulent Flow in Pipes

Go Shear Stress = Density of Fluid*Shear Velocity^2

Shear Stress due to Viscosity

Go Shear Stress = Viscosity*Change in Velocity

Frictional Factor given Reynolds Number

Go Friction Factor = 0.0032+0.221/(Roughness Reynold Number^0.237)

Blasius Equation

Go Friction Factor = (0.316)/(Roughness Reynold Number^(1/4))

Power Required to Maintain Turbulent Flow Formula

Power = Density of Fluid*[g]*Discharge*Head Loss Due to Friction
P = ρ_fluid*[g]*Q*h_f

What is turbulent flow?

The turbulence or turbulent flow is fluid motion characterized by chaotic changes in pressure and flow velocity. It is in contrast to a laminar flow, which occurs when a fluid flows in parallel layers, with no disruption between those layers.

What is the difference between laminar flow and turbulent flow?

Laminar flow or streamline flow in pipes (or tubes) occurs when a fluid flows in parallel layers, with no disruption between the layers. Turbulent flow is a flow regime characterized by chaotic property changes. This includes a rapid variation of pressure and flows velocity in space and time.

How to Calculate Power Required to Maintain Turbulent Flow?

Power Required to Maintain Turbulent Flow calculator uses Power = Density of Fluid*[g]*Discharge*Head Loss Due to Friction to calculate the Power, Power Required to Maintain Turbulent Flow in a pipe is determined by the energy losses due to pipe friction. This power is often referred to as the frictional or flow resistance power. Power is denoted by P symbol.

How to calculate Power Required to Maintain Turbulent Flow using this online calculator? To use this online calculator for Power Required to Maintain Turbulent Flow, enter Density of Fluid (ρ_fluid), Discharge (Q) & Head Loss Due to Friction (h_f) and hit the calculate button. Here is how the Power Required to Maintain Turbulent Flow calculation can be explained with given input values -> 504.5521 = 1.225*[g]*3*4.71.

FAQ

What is Power Required to Maintain Turbulent Flow?

Power Required to Maintain Turbulent Flow in a pipe is determined by the energy losses due to pipe friction. This power is often referred to as the frictional or flow resistance power and is represented as P = ρ_fluid*[g]*Q*h_f or Power = Density of Fluid*[g]*Discharge*Head Loss Due to Friction. Density of Fluid is defined as the mass of fluid per unit volume of the said fluid, Discharge is the rate of flow of a liquid & The Head loss due to friction occurs due to the effect of the fluid's viscosity near the surface of the pipe or duct.

How to calculate Power Required to Maintain Turbulent Flow?

Power Required to Maintain Turbulent Flow in a pipe is determined by the energy losses due to pipe friction. This power is often referred to as the frictional or flow resistance power is calculated using Power = Density of Fluid*[g]*Discharge*Head Loss Due to Friction. To calculate Power Required to Maintain Turbulent Flow, you need Density of Fluid (ρ_fluid), Discharge (Q) & Head Loss Due to Friction (h_f). With our tool, you need to enter the respective value for Density of Fluid, Discharge & Head Loss Due to Friction 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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