Distance between Plates given Pressure Head Drop Calculator

✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity [μ]			+10% -10%
✖The Length of Pipe refers to total length from one end to another 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%
✖The Specific Weight of Liquid refers to the weight per unit volume of that substance.ⓘ 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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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*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 refers to the internal resistance of a fluid to flow when a force is applied.
Length of Pipe - (Measured in Meter) - The Length of Pipe refers to total length from one end to another 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) - The Specific Weight of Liquid refers to the weight per unit volume of that substance.
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: 4 Meter --> 4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

w = sqrt((12*μ*L_p*V_mean)/(γ_f*h_location)) --> sqrt((12*1.02*0.1*32.4)/(9.81*4))

Evaluating ... ...

w = 1.00530701869372

STEP 3: Convert Result to Output's Unit

1.00530701869372 Meter --> No Conversion Required

FINAL ANSWER

1.00530701869372 ≈ 1.005307 Meter <-- Width

(Calculation completed in 00.020 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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< Laminar Flow between Parallel Plates, both Plates at Rest Calculators

Velocity Distribution Profile

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

Distance between Plates using Velocity Distribution Profile

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

Distance between Plates given Maximum Velocity between Plates

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

Maximum Velocity between Plates

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

Distance between Plates given Pressure Head Drop Formula

LaTeX Go

Width = sqrt((12*Dynamic Viscosity*Length of Pipe*Mean Velocity)/(Specific Weight of Liquid*Head Loss due to Friction))
w = sqrt((12*μ*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), 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 -> 1.458653 = sqrt((12*1.02*0.1*32.4)/(9810*head_loss_due_to_friction)).

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*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 refers to the internal resistance of a fluid to flow when a force is applied, The Length of Pipe refers to total length from one end to another 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, The Specific Weight of Liquid refers to the weight per unit volume of that substance & 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), 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 3 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)

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