Discharge through Pipe given Head Loss in Turbulent Flow Solution

STEP 0: Pre-Calculation Summary
Formula Used
Discharge = Power/(Density of Fluid*[g]*Head loss due to friction)
Q = P/(ρFluid*[g]*hf)
This formula uses 1 Constants, 4 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665 Meter/Second²
Variables Used
Discharge - (Measured in Cubic Meter per Second) - Discharge is the rate of flow of a liquid.
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.
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
Power: 170 Watt --> 170 Watt No Conversion Required
Density of Fluid: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic Meter No Conversion Required
Head loss due to friction: 14 Meter --> 14 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Q = P/(ρFluid*[g]*hf) --> 170/(1.225*[g]*14)
Evaluating ... ...
Q = 1.01079741228133
STEP 3: Convert Result to Output's Unit
1.01079741228133 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
1.01079741228133 Cubic Meter per Second <-- Discharge
(Calculation completed in 00.016 seconds)

Credits

Created by Maiarutselvan V
PSG College of Technology (PSGCT), Coimbatore
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Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
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10+ Turbulent Flow Calculators

Head Loss due to Friction given Power Required in Turbulent Flow
Head loss due to friction = Power/(Density of Fluid*[g]*Discharge) Go
Discharge through Pipe given Head Loss in Turbulent Flow
Discharge = Power/(Density of Fluid*[g]*Head loss due to friction) Go
Power Required to Maintain Turbulent Flow
Power = Density of Fluid*[g]*Discharge*Head loss due to friction Go
Average height of irregularities for turbulent flow in pipes
Average Height Irregularities = (Roughness reynold number*Kinematic viscosity)/Shear Velocity Go
Roughness Reynold number for turbulent flow in pipes
Roughness reynold number = (Shear Velocity*Average Height Irregularities)/Kinematic viscosity Go
Shear stress in turbulent flow
Shear Stress = (Friction factor*Density of Fluid*Velocity^2)/2 Go
Shear velocity for turbulent flow in pipes
Shear Velocity = sqrt(Shear Stress/Density of Fluid) Go
Boundary layer thickness of laminar sublayer
Boundary layer thickness = (11.6*Kinematic viscosity)/(Shear Velocity) Go
Shear stress due to viscosity
Shear Stress = (Dynamic Viscosity*Change in Velocity) Go
Shear stress developed for turbulent flow in pipes
Shear Stress = (Shear Velocity^2)*Density of Fluid Go

Discharge through Pipe given Head Loss in Turbulent Flow Formula

Discharge = Power/(Density of Fluid*[g]*Head loss due to friction)
Q = P/(ρFluid*[g]*hf)

What is head loss due to friction?

Head loss is potential energy that is converted to kinetic energy. Head losses are due to the frictional resistance of the piping system (pipes, valves, fittings, entrance, and exit losses). Unlike the velocity head, the friction head cannot be ignored in system calculations. Values vary as the square of the flow rate.

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.

How to Calculate Discharge through Pipe given Head Loss in Turbulent Flow?

Discharge through Pipe given Head Loss in Turbulent Flow calculator uses Discharge = Power/(Density of Fluid*[g]*Head loss due to friction) to calculate the Discharge, The Discharge through Pipe given Head Loss in Turbulent Flow formula is known while considering the density of the fluid, head loss due to friction, and the power required to maintain the flow. Discharge is denoted by Q symbol.

How to calculate Discharge through Pipe given Head Loss in Turbulent Flow using this online calculator? To use this online calculator for Discharge through Pipe given Head Loss in Turbulent Flow, enter Power (P), Density of Fluid Fluid) & Head loss due to friction (hf) and hit the calculate button. Here is how the Discharge through Pipe given Head Loss in Turbulent Flow calculation can be explained with given input values -> 1.010797 = 170/(1.225*[g]*14).

FAQ

What is Discharge through Pipe given Head Loss in Turbulent Flow?
The Discharge through Pipe given Head Loss in Turbulent Flow formula is known while considering the density of the fluid, head loss due to friction, and the power required to maintain the flow and is represented as Q = P/(ρFluid*[g]*hf) or Discharge = Power/(Density of Fluid*[g]*Head loss due to friction). Power is the amount of energy liberated per second in a device, Density of Fluid is defined as the mass of fluid per unit volume of the said fluid & 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 Discharge through Pipe given Head Loss in Turbulent Flow?
The Discharge through Pipe given Head Loss in Turbulent Flow formula is known while considering the density of the fluid, head loss due to friction, and the power required to maintain the flow is calculated using Discharge = Power/(Density of Fluid*[g]*Head loss due to friction). To calculate Discharge through Pipe given Head Loss in Turbulent Flow, you need Power (P), Density of Fluid Fluid) & Head loss due to friction (hf). With our tool, you need to enter the respective value for Power, Density of Fluid & 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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