Rate of Flow given Head loss in Laminar Flow Calculator

✖Head Loss of Fluid 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 of Fluid [h_l]			+10% -10%
✖Specific Weight is defined as weight per unit volume. It is the specific weight of the liquid for which the calculation is being done.ⓘ Specific Weight [γ_f]			+10% -10%
✖Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.ⓘ Diameter of Pipe [d_pipe]			+10% -10%
✖Viscous Force 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 [μ]			+10% -10%
✖Length of Pipe describes the length of the pipe in which the liquid is flowing.ⓘ Length of Pipe [L_pipe]			+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 given Head loss in Laminar Flow [Q_f]

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Formula

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Rate of Flow given Head loss in Laminar Flow

Formula

`"Q"_{"f"} = "h"_{"l"}*"γ"_{"f"}*pi*("d"_{"pipe"}^4)/(128*"μ"*"L"_{"pipe"})`

Example

`"24.11582m³/s"="1.195m"*"108.2N/m³"*pi*(("1.021m")^4)/(128*"1.43N"*"0.10m")`

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Rate of Flow given Head loss in Laminar Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rate of Flow = Head Loss of Fluid*Specific Weight*pi*(Diameter of Pipe^4)/(128*Viscous Force*Length of Pipe)
Q_f = h_l*γ_f*pi*(d_pipe^4)/(128*μ*L_pipe)
This formula uses 1 Constants, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
Head Loss of Fluid - (Measured in Meter) - Head Loss of Fluid 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.
Specific Weight - (Measured in Newton per Cubic Meter) - Specific Weight is defined as weight per unit volume. It is the specific weight of the liquid for which the calculation is being done.
Diameter of Pipe - (Measured in Meter) - Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.
Viscous Force - (Measured in Newton) - Viscous Force 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.
Length of Pipe - (Measured in Meter) - Length of Pipe describes the length of the pipe in which the liquid is flowing.

STEP 1: Convert Input(s) to Base Unit

Head Loss of Fluid: 1.195 Meter --> 1.195 Meter No Conversion Required
Specific Weight: 108.2 Newton per Cubic Meter --> 108.2 Newton per Cubic Meter No Conversion Required
Diameter of Pipe: 1.021 Meter --> 1.021 Meter No Conversion Required
Viscous Force: 1.43 Newton --> 1.43 Newton No Conversion Required
Length of Pipe: 0.1 Meter --> 0.1 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_f = h_l*γ_f*pi*(d_pipe^4)/(128*μ*L_pipe) --> 1.195*108.2*pi*(1.021^4)/(128*1.43*0.1)

Evaluating ... ...

Q_f = 24.1158181310974

STEP 3: Convert Result to Output's Unit

24.1158181310974 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

24.1158181310974 ≈ 24.11582 Cubic Meter per Second <-- Rate of Flow

(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad

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< 8 Flow Rate Calculators

Volumetric Flow Rate of Venacontracta given Contraction and Velocity

Go Volumetric Flow Rate = Coefficient of Contraction*Coefficient of Velocity*Area of Jet at Vena Contracta*sqrt(2*[g]*Head)

Rate of Flow given Head loss in Laminar Flow

Go Rate of Flow = Head Loss of Fluid*Specific Weight*pi*(Diameter of Pipe^4)/(128*Viscous Force*Length of Pipe)

Volumetric Flow Rate of Rectangular Notch

Go Volumetric Flow Rate = 0.62*Thickness of Dam*Head of Water above Sill of Notch*2/3*sqrt(2*[g]*Head)

Volumetric Flow Rate at Vena Contracta

Go Volumetric Flow Rate = Coefficient of Discharge*Area of Jet at Vena Contracta*sqrt(2*[g]*Head)

Rate of Flow given Hydraulic Transmission Power

Go Rate of Flow = Power/(Specific Weight of Liquid*(Total Head at Entrance-Head Loss of Fluid))

Volumetric Flow Rate of Circular Orifice

Go Volumetric Flow Rate = 0.62*Area of Orifice*sqrt(2*[g]*Head)

Rate of Flow

Go Rate of Flow = Cross-Sectional Area*Average Velocity

Volumetric Flow Rate of Triangular Right Angled Notch

Go Volumetric Flow Rate = 2.635*Head of Water above Sill of Notch^(5/2)

Rate of Flow given Head loss in Laminar Flow Formula

Rate of Flow = Head Loss of Fluid*Specific Weight*pi*(Diameter of Pipe^4)/(128*Viscous Force*Length of Pipe)
Q_f = h_l*γ_f*pi*(d_pipe^4)/(128*μ*L_pipe)

Define Rate of Flow

In particular fluid dynamics, the volumetric flow rate is the volume of fluid that passes per unit time; usually it is represented by the symbol Q. The SI unit is cubic meters per second. Another unit used is standard cubic centimeters per minute. In hydrometry, it is known as discharge.

How to Calculate Rate of Flow given Head loss in Laminar Flow?

Rate of Flow given Head loss in Laminar Flow calculator uses Rate of Flow = Head Loss of Fluid*Specific Weight*pi*(Diameter of Pipe^4)/(128*Viscous Force*Length of Pipe) to calculate the Rate of Flow, The Rate of Flow given Head loss in Laminar Flow formula is defined as the movement of volume per time. Volumetric flow rate, the volume of a fluid that passes through a given surface per unit of time. Rate of Flow is denoted by Q_f symbol.

How to calculate Rate of Flow given Head loss in Laminar Flow using this online calculator? To use this online calculator for Rate of Flow given Head loss in Laminar Flow, enter Head Loss of Fluid (h_l), Specific Weight (γ_f), Diameter of Pipe (d_pipe), Viscous Force (μ) & Length of Pipe (L_pipe) and hit the calculate button. Here is how the Rate of Flow given Head loss in Laminar Flow calculation can be explained with given input values -> 24.07124 = 1.195*108.2*pi*(1.021^4)/(128*1.43*0.1).

FAQ

What is Rate of Flow given Head loss in Laminar Flow?

The Rate of Flow given Head loss in Laminar Flow formula is defined as the movement of volume per time. Volumetric flow rate, the volume of a fluid that passes through a given surface per unit of time and is represented as Q_f = h_l*γ_f*pi*(d_pipe^4)/(128*μ*L_pipe) or Rate of Flow = Head Loss of Fluid*Specific Weight*pi*(Diameter of Pipe^4)/(128*Viscous Force*Length of Pipe). Head Loss of Fluid 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, Specific Weight is defined as weight per unit volume. It is the specific weight of the liquid for which the calculation is being done, Diameter of Pipe is the diameter of the pipe in which the liquid is flowing, Viscous Force 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 & Length of Pipe describes the length of the pipe in which the liquid is flowing.

How to calculate Rate of Flow given Head loss in Laminar Flow?

The Rate of Flow given Head loss in Laminar Flow formula is defined as the movement of volume per time. Volumetric flow rate, the volume of a fluid that passes through a given surface per unit of time is calculated using Rate of Flow = Head Loss of Fluid*Specific Weight*pi*(Diameter of Pipe^4)/(128*Viscous Force*Length of Pipe). To calculate Rate of Flow given Head loss in Laminar Flow, you need Head Loss of Fluid (h_l), Specific Weight (γ_f), Diameter of Pipe (d_pipe), Viscous Force (μ) & Length of Pipe (L_pipe). With our tool, you need to enter the respective value for Head Loss of Fluid, Specific Weight, Diameter of Pipe, Viscous Force & Length of Pipe 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 Rate of Flow?

In this formula, Rate of Flow uses Head Loss of Fluid, Specific Weight, Diameter of Pipe, Viscous Force & Length of Pipe. We can use 2 other way(s) to calculate the same, which is/are as follows -

Rate of Flow = Cross-Sectional Area*Average Velocity
Rate of Flow = Power/(Specific Weight of Liquid*(Total Head at Entrance-Head Loss of Fluid))

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