Length of Pipe given Head loss Calculator

✖The Head loss is the reduction in total mechanical energy of a fluid as it flows through a pipe, often due to friction and other resistive forces.ⓘ Head loss [h_f]			+10% -10%
✖The Specific Weight is the weight per unit volume of a substance, indicating how heavy a material is relative to its volume, crucial in fluid mechanics and pipe design.ⓘ Specific Weight [γ]			+10% -10%
✖The Pipe Diameter is the measurement across the widest part of a pipe, determining the flow capacity and pressure within fluid systems.ⓘ Pipe Diameter [d_pipe]			+10% -10%
✖The Rate of Flow is the volume of fluid that passes through a pipe per unit of time, indicating the efficiency of fluid transport in mechanical systems.ⓘ Rate of Flow [Q]			+10% -10%
✖The Viscous Force head loss is the energy loss due to friction as fluid flows through a pipe, affecting flow rate and pressure within the system.ⓘ Viscous Force head loss [μ]			+10% -10%

✖The Change in Drawdown is the difference in water level or pressure in a fluid system, indicating how much water is being removed or added over time.ⓘ Length of Pipe given Head loss [s]

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Length of Pipe given Head loss Solution

STEP 0: Pre-Calculation Summary

Formula Used

Change in Drawdown = Head loss*Specific Weight*pi*(Pipe Diameter^4)/(128*Rate of Flow*Viscous Force head loss)
s = h_f*γ*pi*(d_pipe^4)/(128*Q*μ)
This formula uses 1 Constants, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Change in Drawdown - (Measured in Meter) - The Change in Drawdown is the difference in water level or pressure in a fluid system, indicating how much water is being removed or added over time.
Head loss - (Measured in Meter) - The Head loss is the reduction in total mechanical energy of a fluid as it flows through a pipe, often due to friction and other resistive forces.
Specific Weight - (Measured in Newton per Cubic Meter) - The Specific Weight is the weight per unit volume of a substance, indicating how heavy a material is relative to its volume, crucial in fluid mechanics and pipe design.
Pipe Diameter - (Measured in Meter) - The Pipe Diameter is the measurement across the widest part of a pipe, determining the flow capacity and pressure within fluid systems.
Rate of Flow - (Measured in Cubic Meter per Second) - The Rate of Flow is the volume of fluid that passes through a pipe per unit of time, indicating the efficiency of fluid transport in mechanical systems.
Viscous Force head loss - (Measured in Newton) - The Viscous Force head loss is the energy loss due to friction as fluid flows through a pipe, affecting flow rate and pressure within the system.

STEP 1: Convert Input(s) to Base Unit

Head loss: 1.2 Meter --> 1.2 Meter No Conversion Required
Specific Weight: 92.6 Newton per Cubic Meter --> 92.6 Newton per Cubic Meter No Conversion Required
Pipe Diameter: 1.01 Meter --> 1.01 Meter No Conversion Required
Rate of Flow: 13.5 Cubic Meter per Second --> 13.5 Cubic Meter per Second No Conversion Required
Viscous Force head loss: 94.18672 Newton --> 94.18672 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

s = h_f*γ*pi*(d_pipe^4)/(128*Q*μ) --> 1.2*92.6*pi*(1.01^4)/(128*13.5*94.18672)

Evaluating ... ...

s = 0.00223199999510855

STEP 3: Convert Result to Output's Unit

0.00223199999510855 Meter --> No Conversion Required

FINAL ANSWER

0.00223199999510855 ≈ 0.002232 Meter <-- Change in Drawdown

(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad

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< Pipes Calculators

Viscous Force using Head loss Due to Laminar Flow

LaTeX Go Viscous Force head loss = Head loss*Specific Weight*pi*(Pipe Diameter^4)/(128*Rate of Flow*Change in Drawdown)

Length of Pipe given Head loss

LaTeX Go Change in Drawdown = Head loss*Specific Weight*pi*(Pipe Diameter^4)/(128*Rate of Flow*Viscous Force head loss)

Viscous Stress

LaTeX Go Viscous Stress = Dynamic Viscosity*Velocity Gradient/Fluid Thickness

Viscous Force Per Unit Area

LaTeX Go Viscous Force = Force/Area

Length of Pipe given Head loss Formula

LaTeX Go

Change in Drawdown = Head loss*Specific Weight*pi*(Pipe Diameter^4)/(128*Rate of Flow*Viscous Force head loss)
s = h_f*γ*pi*(d_pipe^4)/(128*Q*μ)

What is Head Loss?

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

How to Calculate Length of Pipe given Head loss?

Length of Pipe given Head loss calculator uses Change in Drawdown = Head loss*Specific Weight*pi*(Pipe Diameter^4)/(128*Rate of Flow*Viscous Force head loss) to calculate the Change in Drawdown, Length of Pipe given Head loss formula is defined as a method to determine the necessary length of a pipe based on the head loss due to friction. This formula helps in designing efficient piping systems by ensuring adequate flow and minimizing energy losses in fluid transport. Change in Drawdown is denoted by s symbol.

How to calculate Length of Pipe given Head loss using this online calculator? To use this online calculator for Length of Pipe given Head loss, enter Head loss (h_f), Specific Weight (γ), Pipe Diameter (d_pipe), Rate of Flow (Q) & Viscous Force head loss (μ) and hit the calculate button. Here is how the Length of Pipe given Head loss calculation can be explained with given input values -> 0.000595 = 1.2*92.6*pi*(1.01^4)/(128*13.5*94.18672).

FAQ

What is Length of Pipe given Head loss?

Length of Pipe given Head loss formula is defined as a method to determine the necessary length of a pipe based on the head loss due to friction. This formula helps in designing efficient piping systems by ensuring adequate flow and minimizing energy losses in fluid transport and is represented as s = h_f*γ*pi*(d_pipe^4)/(128*Q*μ) or Change in Drawdown = Head loss*Specific Weight*pi*(Pipe Diameter^4)/(128*Rate of Flow*Viscous Force head loss). The Head loss is the reduction in total mechanical energy of a fluid as it flows through a pipe, often due to friction and other resistive forces, The Specific Weight is the weight per unit volume of a substance, indicating how heavy a material is relative to its volume, crucial in fluid mechanics and pipe design, The Pipe Diameter is the measurement across the widest part of a pipe, determining the flow capacity and pressure within fluid systems, The Rate of Flow is the volume of fluid that passes through a pipe per unit of time, indicating the efficiency of fluid transport in mechanical systems & The Viscous Force head loss is the energy loss due to friction as fluid flows through a pipe, affecting flow rate and pressure within the system.

How to calculate Length of Pipe given Head loss?

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