Maximum Velocity between Plates Calculator

✖Width is the measurement or extent of something from side to side.ⓘ Width [w]			+10% -10%
✖The Pressure Gradient refers to the rate of change of pressure in a particular direction indicating how quickly the pressure increases or decreases around a specific location.ⓘ Pressure Gradient [dp\|dr]			+10% -10%
✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity [μ]			+10% -10%

✖The Maximum Velocity refers to the highest speed at which fluid can flow through a system without causing damage or inefficiency.ⓘ Maximum Velocity between Plates [V_max]

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Download Laminar Flow between Parallel Plates, both Plates at Rest Formulas PDF PDF Image

Maximum Velocity between Plates Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Velocity = ((Width^2)*Pressure Gradient)/(8*Dynamic Viscosity)
V_max = ((w^2)*dp|dr)/(8*μ)
This formula uses 4 Variables

Variables Used

Maximum Velocity - (Measured in Meter per Second) - The Maximum Velocity refers to the highest speed at which fluid can flow through a system without causing damage or inefficiency.
Width - (Measured in Meter) - Width is the measurement or extent of something from side to side.
Pressure Gradient - (Measured in Newton per Cubic Meter) - The Pressure Gradient refers to the rate of change of pressure in a particular direction indicating how quickly the pressure increases or decreases around a specific location.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.

STEP 1: Convert Input(s) to Base Unit

Width: 3 Meter --> 3 Meter No Conversion Required
Pressure Gradient: 17 Newton per Cubic Meter --> 17 Newton per Cubic Meter No Conversion Required
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_max = ((w^2)*dp|dr)/(8*μ) --> ((3^2)*17)/(8*1.02)

Evaluating ... ...

V_max = 18.75

STEP 3: Convert Result to Output's Unit

18.75 Meter per Second --> No Conversion Required

FINAL ANSWER

18.75 Meter per Second <-- Maximum Velocity

(Calculation completed in 00.004 seconds)

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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)

Maximum Velocity between Plates Formula

LaTeX Go

Maximum Velocity = ((Width^2)*Pressure Gradient)/(8*Dynamic Viscosity)
V_max = ((w^2)*dp|dr)/(8*μ)

What is Pressure Gradient?

Pressure gradient is a physical quantity that describes in which direction and at what rate the pressure increases the most rapidly around a particular location. The pressure gradient is a dimensional quantity expressed in units of pascals per metre.

How to Calculate Maximum Velocity between Plates?

Maximum Velocity between Plates calculator uses Maximum Velocity = ((Width^2)*Pressure Gradient)/(8*Dynamic Viscosity) to calculate the Maximum Velocity, The Maximum Velocity between Plates is defined as the maximum or peak velocity at the center line of the plates in the fluid flow. Maximum Velocity is denoted by V_max symbol.

How to calculate Maximum Velocity between Plates using this online calculator? To use this online calculator for Maximum Velocity between Plates, enter Width (w), Pressure Gradient (dp|dr) & Dynamic Viscosity (μ) and hit the calculate button. Here is how the Maximum Velocity between Plates calculation can be explained with given input values -> 18.75 = ((3^2)*17)/(8*1.02).

FAQ

What is Maximum Velocity between Plates?

The Maximum Velocity between Plates is defined as the maximum or peak velocity at the center line of the plates in the fluid flow and is represented as V_max = ((w^2)*dp|dr)/(8*μ) or Maximum Velocity = ((Width^2)*Pressure Gradient)/(8*Dynamic Viscosity). Width is the measurement or extent of something from side to side, The Pressure Gradient refers to the rate of change of pressure in a particular direction indicating how quickly the pressure increases or decreases around a specific location & The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.

How to calculate Maximum Velocity between Plates?

The Maximum Velocity between Plates is defined as the maximum or peak velocity at the center line of the plates in the fluid flow is calculated using Maximum Velocity = ((Width^2)*Pressure Gradient)/(8*Dynamic Viscosity). To calculate Maximum Velocity between Plates, you need Width (w), Pressure Gradient (dp|dr) & Dynamic Viscosity (μ). With our tool, you need to enter the respective value for Width, Pressure Gradient & Dynamic Viscosity 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 Maximum Velocity?

In this formula, Maximum Velocity uses Width, Pressure Gradient & Dynamic Viscosity. We can use 1 other way(s) to calculate the same, which is/are as follows -

Maximum Velocity = 1.5*Mean Velocity

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