Viscous Force using Head loss Due to Laminar Flow Solution

STEP 0: Pre-Calculation Summary
Formula Used
Viscous Force head loss = Head loss*Specific Weight*pi*(Pipe Diameter^4)/(128*Rate of flow*Change in Drawdown)
μ = hf*γ*pi*(dpipe^4)/(128*Q*s)
This formula uses 1 Constants, 6 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
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.
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.
Specific Weight - (Measured in Newton per Cubic Meter) - Specific Weight is defined as weight per unit volume.
Pipe Diameter - (Measured in Meter) - Pipe Diameter is the diameter of the pipe in which the liquid is flowing.
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.
STEP 1: Convert Input(s) to Base Unit
Head loss: 1.2 Meter --> 1.2 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
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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
μ = hf*γ*pi*(dpipe^4)/(128*Q*s) --> 1.2*92.6*pi*(1.01^4)/(128*13.5*0.1)
Evaluating ... ...
μ = 2.10224758579291
STEP 3: Convert Result to Output's Unit
2.10224758579291 Newton --> No Conversion Required
FINAL ANSWER
2.10224758579291 2.102248 Newton <-- Viscous Force head loss
(Calculation completed in 00.004 seconds)

Credits

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Osmania University (OU), Hyderabad
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12 Pipes Calculators

Diameter of Pipe given Head Loss due to Laminar Flow
Go 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 using Head loss Due to Laminar Flow
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
Go Change in Drawdown = Head loss*Specific Weight*pi*(Pipe Diameter^4)/(128*Rate of flow*Viscous Force head loss)
Head Loss due to Laminar Flow
Go Head loss = (128*Viscous Force head loss*Rate of flow*Change in Drawdown)/(pi*Specific Weight*Pipe Diameter^4)
Heat Loss due to Pipe
Go Heat Loss due to Pipe = (Force*Length*Fluid Velocity^2)/(2*Diameter*Acceleration Due To Gravity)
Depth of Centroid given Total Hydrostatic Force
Go Depth of Centroid = Hydrostatic Force/(Specific Weight 1*Surface area)
Head Loss using Efficiency of Hydraulic Transmission
Go Head loss = Total Head at Entrance-Efficiency*Total Head at Entrance
Viscous Stress
Go Viscous Stress = Dynamic Viscosity*Velocity Gradient/Fluid Thickness
Barlow's Formula for Pipe
Go Pressure = (2*Applied stress*Wall Thickness)/(Outside Diameter)
Coefficient of Discharge at Venacontracta of Orifice
Go Coefficient of Discharge = Coefficient of Contraction*Coefficient of Velocity
Viscous Force Per Unit Area
Go Viscous Force = Force/Area
Frictional Factor of Laminar flow
Go Friction factor = 64/Reynolds Number

Viscous Force using Head loss Due to Laminar Flow Formula

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

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 Viscous Force using Head loss Due to Laminar Flow?

Viscous Force using Head loss Due to Laminar Flow calculator uses Viscous Force head loss = Head loss*Specific Weight*pi*(Pipe Diameter^4)/(128*Rate of flow*Change in Drawdown) to calculate the Viscous Force head loss, The Viscous Force using Head loss Due to Laminar Flow formula is defined as the forces in a fluid that are proportional to the rate at which the fluid velocity is changing in space. Viscous Force head loss is denoted by μ symbol.

How to calculate Viscous Force using Head loss Due to Laminar Flow using this online calculator? To use this online calculator for Viscous Force using Head loss Due to Laminar Flow, enter Head loss (hf), Specific Weight (γ), Pipe Diameter (dpipe), Rate of flow (Q) & Change in Drawdown (s) and hit the calculate button. Here is how the Viscous Force using Head loss Due to Laminar Flow calculation can be explained with given input values -> 2.102248 = 1.2*92.6*pi*(1.01^4)/(128*13.5*0.1).

FAQ

What is Viscous Force using Head loss Due to Laminar Flow?
The Viscous Force using Head loss Due to Laminar Flow formula is defined as the forces in a fluid that are proportional to the rate at which the fluid velocity is changing in space and is represented as μ = hf*γ*pi*(dpipe^4)/(128*Q*s) or Viscous Force head loss = Head loss*Specific Weight*pi*(Pipe Diameter^4)/(128*Rate of flow*Change in Drawdown). 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, Specific Weight is defined as weight per unit volume, Pipe Diameter is the diameter of the pipe in which the liquid is flowing, 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.
How to calculate Viscous Force using Head loss Due to Laminar Flow?
The Viscous Force using Head loss Due to Laminar Flow formula is defined as the forces in a fluid that are proportional to the rate at which the fluid velocity is changing in space is calculated using Viscous Force head loss = Head loss*Specific Weight*pi*(Pipe Diameter^4)/(128*Rate of flow*Change in Drawdown). To calculate Viscous Force using Head loss Due to Laminar Flow, you need Head loss (hf), Specific Weight (γ), Pipe Diameter (dpipe), Rate of flow (Q) & Change in Drawdown (s). With our tool, you need to enter the respective value for Head loss, Specific Weight, Pipe Diameter, Rate of flow & Change in Drawdown 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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