Head Loss due to Laminar Flow Calculator

✖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 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 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.ⓘ Change in Drawdown [s]			+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 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 due to Laminar Flow [h_f]

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Head Loss due to Laminar Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Viscous Force head loss: 94.18672 Newton --> 94.18672 Newton No Conversion Required
Rate of Flow: 13.5 Cubic Meter per Second --> 13.5 Cubic Meter per Second No Conversion Required
Change in Drawdown: 0.002232 Meter --> 0.002232 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_f = (128*μ*Q*s)/(pi*γ*d_pipe^4) --> (128*94.18672*13.5*0.002232)/(pi*92.6*1.01^4)

Evaluating ... ...

h_f = 1.20000000262981

STEP 3: Convert Result to Output's Unit

1.20000000262981 Meter --> No Conversion Required

FINAL ANSWER

1.20000000262981 ≈ 1.2 Meter <-- Head loss

(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad

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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

Head Loss due to Laminar Flow Formula

LaTeX Go

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

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 Head Loss due to Laminar Flow?

Head Loss due to Laminar Flow calculator uses Head loss = (128*Viscous Force head loss*Rate of Flow*Change in Drawdown)/(pi*Specific Weight*Pipe Diameter^4) to calculate the Head loss, Head Loss due to Laminar Flow formula is defined as a representation of the energy loss in a fluid flowing through a pipe due to viscosity. It quantifies the resistance encountered by the fluid, which is crucial for designing efficient piping systems in various engineering applications. Head loss is denoted by h_f symbol.

How to calculate Head Loss due to Laminar Flow using this online calculator? To use this online calculator for Head Loss due to Laminar Flow, enter Viscous Force head loss (μ), Rate of Flow (Q), Change in Drawdown (s), Specific Weight (γ) & Pipe Diameter (d_pipe) and hit the calculate button. Here is how the Head Loss due to Laminar Flow calculation can be explained with given input values -> 1.2 = (128*94.18672*13.5*0.002232)/(pi*92.6*1.01^4).

FAQ

What is Head Loss due to Laminar Flow?

Head Loss due to Laminar Flow formula is defined as a representation of the energy loss in a fluid flowing through a pipe due to viscosity. It quantifies the resistance encountered by the fluid, which is crucial for designing efficient piping systems in various engineering applications and is represented as h_f = (128*μ*Q*s)/(pi*γ*d_pipe^4) or Head loss = (128*Viscous Force head loss*Rate of Flow*Change in Drawdown)/(pi*Specific Weight*Pipe Diameter^4). 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, 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 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, 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.

How to calculate Head Loss due to Laminar Flow?

Head Loss due to Laminar Flow formula is defined as a representation of the energy loss in a fluid flowing through a pipe due to viscosity. It quantifies the resistance encountered by the fluid, which is crucial for designing efficient piping systems in various engineering applications is calculated using Head loss = (128*Viscous Force head loss*Rate of Flow*Change in Drawdown)/(pi*Specific Weight*Pipe Diameter^4). To calculate Head Loss due to Laminar Flow, you need Viscous Force head loss (μ), Rate of Flow (Q), Change in Drawdown (s), Specific Weight (γ) & Pipe Diameter (d_pipe). With our tool, you need to enter the respective value for Viscous Force head loss, Rate of Flow, Change in Drawdown, Specific Weight & Pipe Diameter 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 Head loss?

In this formula, Head loss uses Viscous Force head loss, Rate of Flow, Change in Drawdown, Specific Weight & Pipe Diameter. We can use 1 other way(s) to calculate the same, which is/are as follows -

Head loss = Total Head at Entrance-Efficiency*Total Head at Entrance

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