FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Distance between Plates given Mean Velocity of Flow with Pressure Gradient Formula

GoDistance between Plates using Velocity Distribution Profile Formula

GoDistance between Plates given Maximum Velocity between Plates Formula

Fx Copy

LaTeX Copy

Width is the measurement or extent of something from side to side. Check FAQs

w = \sqrt{\frac{12 \cdot μ \cdot V mean}{dp|dr}}

w - Width?μ - Dynamic Viscosity?V_mean - Mean Velocity?dp|dr - Pressure Gradient?

Distance between Plates given Mean Velocity of Flow with Pressure Gradient Example

With values

With units

Only example

Here is how the Distance between Plates given Mean Velocity of Flow with Pressure Gradient equation looks like with Values.

Here is how the Distance between Plates given Mean Velocity of Flow with Pressure Gradient equation looks like with Units.

Here is how the Distance between Plates given Mean Velocity of Flow with Pressure Gradient equation looks like.

4.8299 = \sqrt{\frac{12 \cdot 10.2 \cdot 32.4}{17}}

4.8299m = \sqrt{\frac{12 \cdot 10.2P \cdot 32.4m/s}{17N/m³}}

4.8299 = \sqrt{\frac{12 \cdot 10.2 \cdot 32.4}{17}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Hydraulics and Waterworks » fx Distance between Plates given Mean Velocity of Flow with Pressure Gradient

Distance between Plates given Mean Velocity of Flow with Pressure Gradient Solution

Follow our step by step solution on how to calculate Distance between Plates given Mean Velocity of Flow with Pressure Gradient?

FIRST Step Consider the formula

w = \sqrt{\frac{12 \cdot μ \cdot V mean}{dp|dr}}

Next Step Substitute values of Variables

∴

w = \sqrt{\frac{12 \cdot 10.2P \cdot 32.4m/s}{17N/m³}}

Next Step Convert Units

∴

w = \sqrt{\frac{12 \cdot 1.02Pa*s \cdot 32.4m/s}{17N/m³}}

Next Step Prepare to Evaluate

∴

w = \sqrt{\frac{12 \cdot 1.02 \cdot 32.4}{17}}

Next Step Evaluate

∴

w = 4.82990683139955m

LAST Step Rounding Answer

∴

w = 4.8299m

Distance between Plates given Mean Velocity of Flow with Pressure Gradient Formula Elements

Variables

Functions

Width

Width is the measurement or extent of something from side to side.

Symbol: w

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Width

Dynamic Viscosity

The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.

Symbol: μ

Measurement: Dynamic ViscosityUnit: P

Note: Value should be greater than 0.

Formulas to find Dynamic Viscosity

Mean Velocity

Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.

Symbol: V_mean

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Mean Velocity

Pressure Gradient

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.

Symbol: dp|dr

Measurement: Pressure GradientUnit: N/m³

Note: Value should be greater than 0.

Formulas to find Pressure Gradient

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.

Syntax: sqrt(Number)

Other Formulas to find Width

Go Distance between Plates using Velocity Distribution Profile

w = \frac{(\frac{- v \cdot 2 \cdot μ}{dp|dr}) + (R^{2})}{R}

Go Distance between Plates given Maximum Velocity between Plates

w = \sqrt{\frac{8 \cdot μ \cdot V max}{dp|dr}}

Go Distance between Plates given Discharge

w = {(\frac{Q \cdot 12 \cdot μ}{dp|dr})}^{\frac{1}{3}}

Go Distance between Plates given Mean Velocity of Flow

w = \frac{Q}{V mean}

Other formulas in Laminar Flow between Parallel Plates, both Plates at Rest category

Go Velocity Distribution Profile

v = - (\frac{1}{2 \cdot μ}) \cdot dp|dr \cdot (w \cdot R - (R^{2}))

Go Maximum Velocity between Plates

V max = \frac{(w^{2}) \cdot dp|dr}{8 \cdot μ}

Go Discharge given Viscosity

Q = dp|dr \cdot \frac{w^{3}}{12 \cdot μ}

Go Discharge given Mean Velocity of Flow

Q = w \cdot V mean

How to Evaluate Distance between Plates given Mean Velocity of Flow with Pressure Gradient?

Distance between Plates given Mean Velocity of Flow with Pressure Gradient evaluator uses Width = sqrt((12*Dynamic Viscosity*Mean Velocity)/Pressure Gradient) to evaluate the Width, The Distance between Plates given Mean Velocity of Flow with Pressure Gradient is defined as the width of section of flow in the pipe. Width is denoted by w symbol.

How to evaluate Distance between Plates given Mean Velocity of Flow with Pressure Gradient using this online evaluator? To use this online evaluator for Distance between Plates given Mean Velocity of Flow with Pressure Gradient, enter Dynamic Viscosity (μ), Mean Velocity (V_mean) & Pressure Gradient (dp|dr) and hit the calculate button.

FAQs on Distance between Plates given Mean Velocity of Flow with Pressure Gradient

What is the formula to find Distance between Plates given Mean Velocity of Flow with Pressure Gradient?

The formula of Distance between Plates given Mean Velocity of Flow with Pressure Gradient is expressed as Width = sqrt((12*Dynamic Viscosity*Mean Velocity)/Pressure Gradient). Here is an example- 4.829907 = sqrt((12*1.02*32.4)/17).

How to calculate Distance between Plates given Mean Velocity of Flow with Pressure Gradient?

With Dynamic Viscosity (μ), Mean Velocity (V_mean) & Pressure Gradient (dp|dr) we can find Distance between Plates given Mean Velocity of Flow with Pressure Gradient using the formula - Width = sqrt((12*Dynamic Viscosity*Mean Velocity)/Pressure Gradient). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Width?

Here are the different ways to Calculate Width-

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)

Can the Distance between Plates given Mean Velocity of Flow with Pressure Gradient be negative?

Yes, the Distance between Plates given Mean Velocity of Flow with Pressure Gradient, measured in Length can be negative.

Which unit is used to measure Distance between Plates given Mean Velocity of Flow with Pressure Gradient?

Distance between Plates given Mean Velocity of Flow with Pressure Gradient is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Distance between Plates given Mean Velocity of Flow with Pressure Gradient can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit