Distance between Plates given 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.ⓘ Head Loss due to Friction [h_location]			+10% -10%

✖Width is the measurement or extent of something from side to side.ⓘ Distance between Plates given Pressure Head Drop [w]

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Formula

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Distance between Plates given Pressure Head Drop

Formula

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

Example

`"1.458653m"=sqrt((12*"10.2P"*"0.10m"*"32.4m/s")/("9.81kN/m³"*"1.9m"))`

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

Distance between Plates given Pressure Head Drop Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width = sqrt((12*Dynamic Viscosity*Length of Pipe*Mean Velocity)/(Specific Weight of Liquid*Head Loss due to Friction))
w = sqrt((12*μ_viscosity*L_p*V_mean)/(γ_f*h_location))
This formula uses 1 Functions, 6 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Width - (Measured in Meter) - Width is the measurement or extent of something from side to side.
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.
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.

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
Head Loss due to Friction: 1.9 Meter --> 1.9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

w = sqrt((12*μ_viscosity*L_p*V_mean)/(γ_f*h_location)) --> sqrt((12*1.02*0.1*32.4)/(9.81*1.9))

Evaluating ... ...

w = 1.4586527322624

STEP 3: Convert Result to Output's Unit

1.4586527322624 Meter --> No Conversion Required

FINAL ANSWER

1.4586527322624 ≈ 1.458653 Meter <-- Width

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Laminar Flow » Laminar Flow between Parallel Plates, both plates at rest » Distance between Plates given Pressure Head Drop

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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Verified by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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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

Distance between Plates given Pressure Head Drop Formula

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

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 Distance between Plates given Pressure Head Drop?

Distance between Plates given Pressure Head Drop calculator uses Width = sqrt((12*Dynamic Viscosity*Length of Pipe*Mean Velocity)/(Specific Weight of Liquid*Head Loss due to Friction)) to calculate the Width, The Distance Between Plates given Pressure Head Drop is defined as the width of section at a particular point in the flow. Width is denoted by w symbol.

How to calculate Distance between Plates given Pressure Head Drop using this online calculator? To use this online calculator for Distance between Plates given Pressure Head Drop, enter Dynamic Viscosity (μ_viscosity), Length of Pipe (L_p), Mean Velocity (V_mean), Specific Weight of Liquid (γ_f) & Head Loss due to Friction (h_location) and hit the calculate button. Here is how the Distance between Plates given Pressure Head Drop calculation can be explained with given input values -> 0.037336 = sqrt((12*1.02*0.1*32.4)/(9810*1.9)).

FAQ

What is Distance between Plates given Pressure Head Drop?

The Distance Between Plates given Pressure Head Drop is defined as the width of section at a particular point in the flow and is represented as w = sqrt((12*μ_viscosity*L_p*V_mean)/(γ_f*h_location)) or Width = sqrt((12*Dynamic Viscosity*Length of Pipe*Mean Velocity)/(Specific Weight of Liquid*Head Loss due to Friction)). 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 & The Head Loss due to Friction occurs due to the effect of the fluid's viscosity near the surface of the pipe or duct.

How to calculate Distance between Plates given Pressure Head Drop?

The Distance Between Plates given Pressure Head Drop is defined as the width of section at a particular point in the flow is calculated using Width = sqrt((12*Dynamic Viscosity*Length of Pipe*Mean Velocity)/(Specific Weight of Liquid*Head Loss due to Friction)). To calculate Distance between Plates given Pressure Head Drop, you need Dynamic Viscosity (μ_viscosity), Length of Pipe (L_p), Mean Velocity (V_mean), Specific Weight of Liquid (γ_f) & Head Loss due to Friction (h_location). With our tool, you need to enter the respective value for Dynamic Viscosity, Length of Pipe, Mean Velocity, Specific Weight of Liquid & Head Loss due to Friction 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 Width?

In this formula, Width uses Dynamic Viscosity, Length of Pipe, Mean Velocity, Specific Weight of Liquid & Head Loss due to Friction. We can use 7 other way(s) to calculate the same, which is/are as follows -

Width = (((-Velocity of Liquid*2*Dynamic Viscosity)/Pressure Gradient)+(Horizontal Distance^2))/Horizontal Distance
Width = sqrt((8*Dynamic Viscosity*Maximum Velocity)/(Pressure Gradient))
Width = ((Discharge in Laminar Flow*12*Dynamic Viscosity)/Pressure Gradient)^(1/3)
Width = Discharge in Laminar Flow/Mean Velocity
Width = sqrt((12*Dynamic Viscosity*Mean Velocity)/Pressure Gradient)
Width = sqrt(12*Mean Velocity*Dynamic Viscosity*Length of Pipe/Pressure Difference)
Width = 2*(Horizontal Distance-(Shear Stress/Pressure Gradient))

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