Pressure Head Drop Calculator

✖The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.ⓘ Dynamic Viscosity [μ_viscosity]			+10% -10%
✖Length of Pipe describes the length of the pipe in which the liquid is flowing.ⓘ Length of Pipe [L_p]			+10% -10%
✖Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.ⓘ Mean Velocity [V_mean]			+10% -10%
✖Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid.ⓘ Specific Weight of Liquid [γ_f]			+10% -10%

✖The Head Loss due to Friction occurs due to the effect of the fluid's viscosity near the surface of the pipe or duct.ⓘ Pressure Head Drop [h_location]

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Formula

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Pressure Head Drop

Formula

`"h"_{"location"} = (12*"μ"_{"viscosity"}*"L"_{"p"}*"V"_{"mean"})/("γ"_{"f"})`

Example

`"4.042569m"=(12*"10.2P"*"0.10m"*"32.4m/s")/("9.81kN/m³")`

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Download Laminar Flow between Parallel Plates, both plates at rest Formulas PDF

Pressure Head Drop Solution

STEP 0: Pre-Calculation Summary

Formula Used

Head Loss due to Friction = (12*Dynamic Viscosity*Length of Pipe*Mean Velocity)/(Specific Weight of Liquid)
h_location = (12*μ_viscosity*L_p*V_mean)/(γ_f)
This formula uses 5 Variables

Variables Used

Head Loss due to Friction - (Measured in Meter) - The Head Loss due to Friction occurs due to the effect of the fluid's viscosity near the surface of the pipe or duct.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.
Length of Pipe - (Measured in Meter) - Length of Pipe describes the length of the pipe in which the liquid is flowing.
Mean Velocity - (Measured in Meter per Second) - Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.
Specific Weight of Liquid - (Measured in Kilonewton per Cubic Meter) - Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid.

STEP 1: Convert Input(s) to Base Unit

Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Length of Pipe: 0.1 Meter --> 0.1 Meter No Conversion Required
Mean Velocity: 32.4 Meter per Second --> 32.4 Meter per Second No Conversion Required
Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9.81 Kilonewton per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_location = (12*μ_viscosity*L_p*V_mean)/(γ_f) --> (12*1.02*0.1*32.4)/(9.81)

Evaluating ... ...

h_location = 4.04256880733945

STEP 3: Convert Result to Output's Unit

4.04256880733945 Meter --> No Conversion Required

FINAL ANSWER

4.04256880733945 ≈ 4.042569 Meter <-- Head Loss due to Friction

(Calculation completed in 00.020 seconds)

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Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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Verified by M Naveen

National Institute of Technology (NIT), Warangal

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< 20 Laminar Flow between Parallel Plates, both plates at rest Calculators

Distance between Plates given Pressure Head Drop

Go Width = sqrt((12*Dynamic Viscosity*Length of Pipe*Mean Velocity)/(Specific Weight of Liquid*Head Loss due to Friction))

Length of Pipe given Pressure Head Drop

Go Length of Pipe = (Specific Weight of Liquid*Width*Width*Head Loss due to Friction)/(12*Dynamic Viscosity*Mean Velocity)

Velocity Distribution Profile

Go Velocity of Liquid = -(1/(2*Dynamic Viscosity))*Pressure Gradient*(Width*Horizontal Distance-(Horizontal Distance^2))

Distance between Plates using Velocity Distribution Profile

Go Width = (((-Velocity of Liquid*2*Dynamic Viscosity)/Pressure Gradient)+(Horizontal Distance^2))/Horizontal Distance

Length of Pipe given Pressure Difference

Go Length of Pipe = (Pressure Difference*Width*Width)/(Dynamic Viscosity*12*Mean Velocity)

Distance between Plates given Pressure Difference

Go Width = sqrt(12*Mean Velocity*Dynamic Viscosity*Length of Pipe/Pressure Difference)

Pressure Head Drop

Go Head Loss due to Friction = (12*Dynamic Viscosity*Length of Pipe*Mean Velocity)/(Specific Weight of Liquid)

Pressure Difference

Go Pressure Difference = 12*Dynamic Viscosity*Mean Velocity*Length of Pipe/(Width^2)

Distance between Plates given Maximum Velocity between Plates

Go Width = sqrt((8*Dynamic Viscosity*Maximum Velocity)/(Pressure Gradient))

Distance between Plates given Mean Velocity of Flow with Pressure Gradient

Go Width = sqrt((12*Dynamic Viscosity*Mean Velocity)/Pressure Gradient)

Distance between Plates given Discharge

Go Width = ((Discharge in Laminar Flow*12*Dynamic Viscosity)/Pressure Gradient)^(1/3)

Discharge given Viscosity

Go Discharge in Laminar Flow = Pressure Gradient*(Width^3)/(12*Dynamic Viscosity)

Maximum Velocity between Plates

Go Maximum Velocity = ((Width^2)*Pressure Gradient)/(8*Dynamic Viscosity)

Distance between Plates given Shear Stress Distribution Profile

Go Width = 2*(Horizontal Distance-(Shear Stress/Pressure Gradient))

Shear Stress Distribution Profile

Go Shear Stress = -Pressure Gradient*(Width/2-Horizontal Distance)

Horizontal Distance given Shear Stress Distribution Profile

Go Horizontal Distance = Width/2+(Shear Stress/Pressure Gradient)

Maximum Shear Stress in fluid

Go Maximum Shear Stress in Shaft = 0.5*Pressure Gradient*Width

Distance between Plates given Mean Velocity of Flow

Go Width = Discharge in Laminar Flow/Mean Velocity

Discharge given Mean Velocity of Flow

Go Discharge in Laminar Flow = Width*Mean Velocity

Maximum Velocity given Mean Velocity of Flow

Go Maximum Velocity = 1.5*Mean Velocity

Pressure Head Drop Formula

Head Loss due to Friction = (12*Dynamic Viscosity*Length of Pipe*Mean Velocity)/(Specific Weight of Liquid)
h_location = (12*μ_viscosity*L_p*V_mean)/(γ_f)

What is Pressure Head Loss?

The head loss (or the pressure loss) represents the reduction in the total head or pressure (sum of elevation head, velocity head and pressure head) of the fluid as it flows through a hydraulic system. Although the head loss represents a loss of energy, it does not represent a loss of total energy of the fluid.

How to Calculate Pressure Head Drop?

Pressure Head Drop calculator uses Head Loss due to Friction = (12*Dynamic Viscosity*Length of Pipe*Mean Velocity)/(Specific Weight of Liquid) to calculate the Head Loss due to Friction, The Pressure Head Drop is defined as the loss of energy due to friction acting on the boundary of pipe and non viscous flow. Head Loss due to Friction is denoted by h_location symbol.

How to calculate Pressure Head Drop using this online calculator? To use this online calculator for Pressure Head Drop, enter Dynamic Viscosity (μ_viscosity), Length of Pipe (L_p), Mean Velocity (V_mean) & Specific Weight of Liquid (γ_f) and hit the calculate button. Here is how the Pressure Head Drop calculation can be explained with given input values -> 0.004043 = (12*1.02*0.1*32.4)/(9810).

FAQ

What is Pressure Head Drop?

The Pressure Head Drop is defined as the loss of energy due to friction acting on the boundary of pipe and non viscous flow and is represented as h_location = (12*μ_viscosity*L_p*V_mean)/(γ_f) or Head Loss due to Friction = (12*Dynamic Viscosity*Length of Pipe*Mean Velocity)/(Specific Weight of Liquid). The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied, Length of Pipe describes the length of the pipe in which the liquid is flowing, Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T & Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid.

How to calculate Pressure Head Drop?

The Pressure Head Drop is defined as the loss of energy due to friction acting on the boundary of pipe and non viscous flow is calculated using Head Loss due to Friction = (12*Dynamic Viscosity*Length of Pipe*Mean Velocity)/(Specific Weight of Liquid). To calculate Pressure Head Drop, you need Dynamic Viscosity (μ_viscosity), Length of Pipe (L_p), Mean Velocity (V_mean) & Specific Weight of Liquid (γ_f). With our tool, you need to enter the respective value for Dynamic Viscosity, Length of Pipe, Mean Velocity & Specific Weight of Liquid 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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