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Distance between Plates given Shear Stress Distribution Profile Formula

GoDistance between Plates using Velocity Distribution Profile Formula

GoDistance between Plates given Maximum Velocity between Plates Formula

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

w = 2 \cdot (R - (\frac{𝜏}{dp|dr}))

w - Width?R - Horizontal Distance?𝜏 - Shear Stress?dp|dr - Pressure Gradient?

Distance between Plates given Shear Stress Distribution Profile Example

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Here is how the Distance between Plates given Shear Stress Distribution Profile equation looks like with Values.

Here is how the Distance between Plates given Shear Stress Distribution Profile equation looks like with Units.

Here is how the Distance between Plates given Shear Stress Distribution Profile equation looks like.

2.8471 = 2 \cdot (6.9 - (\frac{93.1}{17}))

2.8471m = 2 \cdot (6.9m - (\frac{93.1Pa}{17N/m³}))

2.8471 = 2 \cdot (6.9 - (\frac{93.1}{17}))

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Distance between Plates given Shear Stress Distribution Profile Solution

Follow our step by step solution on how to calculate Distance between Plates given Shear Stress Distribution Profile?

FIRST Step Consider the formula

w = 2 \cdot (R - (\frac{𝜏}{dp|dr}))

Next Step Substitute values of Variables

∴

w = 2 \cdot (6.9m - (\frac{93.1Pa}{17N/m³}))

Next Step Prepare to Evaluate

∴

w = 2 \cdot (6.9 - (\frac{93.1}{17}))

Next Step Evaluate

∴

w = 2.84705882352941m

LAST Step Rounding Answer

∴

w = 2.8471m

Distance between Plates given Shear Stress Distribution Profile Formula Elements

Variables

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

Horizontal Distance

Horizontal Distance denotes the instantaneous horizontal distance cover by an object in a projectile motion.

Symbol: R

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Horizontal Distance

Shear Stress

The Shear Stress refers to the force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.

Symbol: 𝜏

Measurement: StressUnit: Pa

Note: Value should be greater than 0.

Formulas to find Shear Stress

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

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 Shear Stress Distribution Profile?

Distance between Plates given Shear Stress Distribution Profile evaluator uses Width = 2*(Horizontal Distance-(Shear Stress/Pressure Gradient)) to evaluate the Width, The Distance between Plates given Shear Stress Distribution Profile is defined as the width of section of at point in the flow. Width is denoted by w symbol.

How to evaluate Distance between Plates given Shear Stress Distribution Profile using this online evaluator? To use this online evaluator for Distance between Plates given Shear Stress Distribution Profile, enter Horizontal Distance (R), Shear Stress (𝜏) & Pressure Gradient (dp|dr) and hit the calculate button.

FAQs on Distance between Plates given Shear Stress Distribution Profile

What is the formula to find Distance between Plates given Shear Stress Distribution Profile?

The formula of Distance between Plates given Shear Stress Distribution Profile is expressed as Width = 2*(Horizontal Distance-(Shear Stress/Pressure Gradient)). Here is an example- 2.847059 = 2*(6.9-(93.1/17)).

How to calculate Distance between Plates given Shear Stress Distribution Profile?

With Horizontal Distance (R), Shear Stress (𝜏) & Pressure Gradient (dp|dr) we can find Distance between Plates given Shear Stress Distribution Profile using the formula - Width = 2*(Horizontal Distance-(Shear Stress/Pressure Gradient)).

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 Shear Stress Distribution Profile be negative?

Yes, the Distance between Plates given Shear Stress Distribution Profile, measured in Length can be negative.

Which unit is used to measure Distance between Plates given Shear Stress Distribution Profile?

Distance between Plates given Shear Stress Distribution Profile 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 Shear Stress Distribution Profile can be measured.

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