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)
Qf = hl*γf*pi*(dp^4)/(128*μ*Lp)
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: 1.01 Meter --> 1.01 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
Qf = hlf*pi*(dp^4)/(128*μ*Lp) --> 1.195*108.2*pi*(1.01^4)/(128*1.43*0.1)
Evaluating ... ...
Qf = 23.0932217991411
STEP 3: Convert Result to Output's Unit
23.0932217991411 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
23.0932217991411 23.09322 Cubic Meter per Second <-- Rate of Flow
(Calculation completed in 00.004 seconds)

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Rate of Flow given Head loss in Laminar Flow Formula

​LaTeX ​Go
Rate of Flow = Head Loss of Fluid*Specific Weight*pi*(Diameter of Pipe^4)/(128*Viscous Force*Length of Pipe)
Qf = hl*γf*pi*(dp^4)/(128*μ*Lp)

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 Qf 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 (hl), Specific Weight f), Diameter of Pipe (dp), Viscous Force (μ) & Length of Pipe (Lp) 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 -> 23.09322 = 1.195*108.2*pi*(1.01^4)/(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 Qf = hlf*pi*(dp^4)/(128*μ*Lp) 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 (hl), Specific Weight f), Diameter of Pipe (dp), Viscous Force (μ) & Length of Pipe (Lp). 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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