Diameter of Pipe given 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 of Liquid is the weight per unit volume of a liquid, influencing fluid behavior in pipes and various engineering applications.ⓘ Specific Weight of Liquid [y]			+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 [h_f]			+10% -10%

✖The Diameter of Pipe is the distance across the circular cross-section of a pipe, crucial for determining flow capacity and pressure in fluid mechanics.ⓘ 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) - The Diameter of Pipe is the distance across the circular cross-section of a pipe, crucial for determining flow capacity and pressure in fluid mechanics.
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 of Liquid - (Measured in Newton per Cubic Meter) - The Specific Weight of Liquid is the weight per unit volume of a liquid, influencing fluid behavior in pipes and various engineering applications.
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.

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 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*94.18672*13.5*0.002232)/(87.32*pi*1.2))^(1/4)

Evaluating ... ...

D_pipe = 1.02493350149304

STEP 3: Convert Result to Output's Unit

1.02493350149304 Meter --> No Conversion Required

FINAL ANSWER

1.02493350149304 ≈ 1.024934 Meter <-- Diameter of Pipe

(Calculation completed in 00.020 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, Diameter of Pipe given Head Loss due to Laminar Flow formula is defined as a method to determine the necessary pipe diameter based on the fluid's viscosity, flow rate, and the head loss experienced due to laminar flow conditions. It helps ensure efficient fluid transport in piping systems. 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 -> 1.426276 = ((128*94.18672*13.5*0.002232)/(87.32*pi*1.2))^(1/4).

FAQ

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

Diameter of Pipe given Head Loss due to Laminar Flow formula is defined as a method to determine the necessary pipe diameter based on the fluid's viscosity, flow rate, and the head loss experienced due to laminar flow conditions. It helps ensure efficient fluid transport in piping systems 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). 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 of Liquid is the weight per unit volume of a liquid, influencing fluid behavior in pipes and various engineering applications & 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.

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

Diameter of Pipe given Head Loss due to Laminar Flow formula is defined as a method to determine the necessary pipe diameter based on the fluid's viscosity, flow rate, and the head loss experienced due to laminar flow conditions. It helps ensure efficient fluid transport in piping systems 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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