Diameter of Pipe given Head Loss due to Laminar Flow Calculator

✖Viscous Force head loss is the force between a body and a fluid (liquid or gas) moving past it, in a direction so as to oppose the flow of the fluid past the object.ⓘ Viscous Force head loss [μ]			+10% -10%
✖Rate of flow is the rate at which a liquid or other substance flows through a particular channel, pipe, etc.ⓘ Rate of Flow [Q]			+10% -10%
✖Change in Drawdown in the Aquifer is a term applied to the maximum lowering of the groundwater table caused by pumping or artesian flow.ⓘ Change in Drawdown [s]			+10% -10%
✖The Specific weight of liquid is also known as the unit weight, is the weight per unit volume of the liquid. For Example - Specific weight of water on Earth at 4°C is 9.807 kN/m3 or 62.43 lbf/ft3.ⓘ Specific Weight of Liquid [y]			+10% -10%
✖Head loss is a measure of the reduction in the total head (sum of elevation head, velocity head and pressure head) of the fluid as it moves through a fluid system.ⓘ Head loss [h_f]			+10% -10%

✖Diameter of Pipe is the length of the longest chord of the pipe in which the liquid is flowing.ⓘ Diameter of Pipe given Head Loss due to Laminar Flow [D_pipe]

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Diameter of Pipe given Head Loss due to Laminar Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Diameter of Pipe - (Measured in Meter) - Diameter of Pipe is the length of the longest chord of the pipe in which the liquid is flowing.
Viscous Force head loss - (Measured in Newton) - Viscous Force head loss is the force between a body and a fluid (liquid or gas) moving past it, in a direction so as to oppose the flow of the fluid past the object.
Rate of Flow - (Measured in Cubic Meter per Second) - Rate of flow is the rate at which a liquid or other substance flows through a particular channel, pipe, etc.
Change in Drawdown - (Measured in Meter) - Change in Drawdown in the Aquifer is a term applied to the maximum lowering of the groundwater table caused by pumping or artesian flow.
Specific Weight of Liquid - (Measured in Newton per Cubic Meter) - The Specific weight of liquid is also known as the unit weight, is the weight per unit volume of the liquid. For Example - Specific weight of water on Earth at 4°C is 9.807 kN/m3 or 62.43 lbf/ft3.
Head loss - (Measured in Meter) - Head loss is a measure of the reduction in the total head (sum of elevation head, velocity head and pressure head) of the fluid as it moves through a fluid system.

STEP 1: Convert Input(s) to Base Unit

Viscous Force head loss: 94.2 Newton --> 94.2 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: 0.1 Meter --> 0.1 Meter No Conversion Required
Specific Weight of Liquid: 87.32 Newton per Cubic Meter --> 87.32 Newton per Cubic Meter No Conversion Required
Head loss: 1.2 Meter --> 1.2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_pipe = ((128*μ*Q*s)/(y*pi*h_f))^(1/4) --> ((128*94.2*13.5*0.1)/(87.32*pi*1.2))^(1/4)

Evaluating ... ...

D_pipe = 2.65177974352957

STEP 3: Convert Result to Output's Unit

2.65177974352957 Meter --> No Conversion Required

FINAL ANSWER

2.65177974352957 ≈ 2.65178 Meter <-- Diameter of Pipe

(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

Diameter of Pipe given Head Loss due to Laminar Flow Formula

LaTeX Go

Diameter of Pipe = ((128*Viscous Force head loss*Rate of Flow*Change in Drawdown)/(Specific Weight of Liquid*pi*Head loss))^(1/4)
D_pipe = ((128*μ*Q*s)/(y*pi*h_f))^(1/4)

Define Laminar Flow?

In fluid dynamics, laminar flow is characterized by fluid particles following smooth paths in layers, with each layer moving smoothly past the adjacent layers with little or no mixing. At low velocities, the fluid tends to flow without lateral mixing, and adjacent layers slide past one another like playing cards.

How to Calculate Diameter of Pipe given Head Loss due to Laminar Flow?

Diameter of Pipe given Head Loss due to Laminar Flow calculator uses Diameter of Pipe = ((128*Viscous Force head loss*Rate of Flow*Change in Drawdown)/(Specific Weight of Liquid*pi*Head loss))^(1/4) to calculate the Diameter of Pipe, The Diameter of Pipe given Head Loss due to Laminar Flow formula is defined as the diameter of the pipe in which the given liquid is flowing. Diameter of Pipe is denoted by D_pipe symbol.

How to calculate Diameter of Pipe given Head Loss due to Laminar Flow using this online calculator? To use this online calculator for Diameter of Pipe given Head Loss due to Laminar Flow, enter Viscous Force head loss (μ), Rate of Flow (Q), Change in Drawdown (s), Specific Weight of Liquid (y) & Head loss (h_f) and hit the calculate button. Here is how the Diameter of Pipe given Head Loss due to Laminar Flow calculation can be explained with given input values -> 2.65178 = ((128*94.2*13.5*0.1)/(87.32*pi*1.2))^(1/4).

FAQ

What is Diameter of Pipe given Head Loss due to Laminar Flow?

The Diameter of Pipe given Head Loss due to Laminar Flow formula is defined as the diameter of the pipe in which the given liquid is flowing and is represented as D_pipe = ((128*μ*Q*s)/(y*pi*h_f))^(1/4) or Diameter of Pipe = ((128*Viscous Force head loss*Rate of Flow*Change in Drawdown)/(Specific Weight of Liquid*pi*Head loss))^(1/4). Viscous Force head loss is the force between a body and a fluid (liquid or gas) moving past it, in a direction so as to oppose the flow of the fluid past the object, Rate of flow is the rate at which a liquid or other substance flows through a particular channel, pipe, etc, Change in Drawdown in the Aquifer is a term applied to the maximum lowering of the groundwater table caused by pumping or artesian flow, The Specific weight of liquid is also known as the unit weight, is the weight per unit volume of the liquid. For Example - Specific weight of water on Earth at 4°C is 9.807 kN/m3 or 62.43 lbf/ft3 & Head loss is a measure of the reduction in the total head (sum of elevation head, velocity head and pressure head) of the fluid as it moves through a fluid system.

How to calculate Diameter of Pipe given Head Loss due to Laminar Flow?

The Diameter of Pipe given Head Loss due to Laminar Flow formula is defined as the diameter of the pipe in which the given liquid is flowing is calculated using Diameter of Pipe = ((128*Viscous Force head loss*Rate of Flow*Change in Drawdown)/(Specific Weight of Liquid*pi*Head loss))^(1/4). To calculate Diameter of Pipe given Head Loss due to Laminar Flow, you need Viscous Force head loss (μ), Rate of Flow (Q), Change in Drawdown (s), Specific Weight of Liquid (y) & Head loss (h_f). With our tool, you need to enter the respective value for Viscous Force head loss, Rate of Flow, Change in Drawdown, Specific Weight of Liquid & Head loss 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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