Horizontal Distance given Shear Stress Distribution Profile Calculator

✖Width is the measurement or extent of something from side to side.ⓘ Width [w]			+10% -10%
✖Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear Stress [𝜏]			+10% -10%
✖Pressure Gradient is the change in pressure with respect to radial distance of element.ⓘ Pressure Gradient [dp\|dr]			+10% -10%

✖Horizontal Distance denotes the instantaneous horizontal distance cover by an object in a projectile motion.ⓘ Horizontal Distance given Shear Stress Distribution Profile [R]

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Formula

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Horizontal Distance given Shear Stress Distribution Profile

Formula

`"R" = "w"/2+("𝜏"/"dp|dr")`

Example

`"6.976471m"="3m"/2+("93.1Pa"/"17N/m³")`

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

Horizontal Distance given Shear Stress Distribution Profile Solution

STEP 0: Pre-Calculation Summary

Formula Used

Horizontal Distance = Width/2+(Shear Stress/Pressure Gradient)
R = w/2+(𝜏/dp|dr)
This formula uses 4 Variables

Variables Used

Horizontal Distance - (Measured in Meter) - Horizontal Distance denotes the instantaneous horizontal distance cover by an object in a projectile motion.
Width - (Measured in Meter) - Width is the measurement or extent of something from side to side.
Shear Stress - (Measured in Pascal) - Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
Pressure Gradient - (Measured in Newton per Cubic Meter) - Pressure Gradient is the change in pressure with respect to radial distance of element.

STEP 1: Convert Input(s) to Base Unit

Width: 3 Meter --> 3 Meter No Conversion Required
Shear Stress: 93.1 Pascal --> 93.1 Pascal No Conversion Required
Pressure Gradient: 17 Newton per Cubic Meter --> 17 Newton per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = w/2+(𝜏/dp|dr) --> 3/2+(93.1/17)

Evaluating ... ...

R = 6.97647058823529

STEP 3: Convert Result to Output's Unit

6.97647058823529 Meter --> No Conversion Required

FINAL ANSWER

6.97647058823529 ≈ 6.976471 Meter <-- Horizontal Distance

(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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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

Horizontal Distance given Shear Stress Distribution Profile Formula

Horizontal Distance = Width/2+(Shear Stress/Pressure Gradient)
R = w/2+(𝜏/dp|dr)

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 Horizontal Distance given Shear Stress Distribution Profile?

Horizontal Distance given Shear Stress Distribution Profile calculator uses Horizontal Distance = Width/2+(Shear Stress/Pressure Gradient) to calculate the Horizontal Distance, The Horizontal Distance given Shear Stress Distribution Profile is defined as the distance where shear stress is calculated. Horizontal Distance is denoted by R symbol.

How to calculate Horizontal Distance given Shear Stress Distribution Profile using this online calculator? To use this online calculator for Horizontal Distance given Shear Stress Distribution Profile, enter Width (w), Shear Stress (𝜏) & Pressure Gradient (dp|dr) and hit the calculate button. Here is how the Horizontal Distance given Shear Stress Distribution Profile calculation can be explained with given input values -> 6.976471 = 3/2+(93.1/17).

FAQ

What is Horizontal Distance given Shear Stress Distribution Profile?

The Horizontal Distance given Shear Stress Distribution Profile is defined as the distance where shear stress is calculated and is represented as R = w/2+(𝜏/dp|dr) or Horizontal Distance = Width/2+(Shear Stress/Pressure Gradient). Width is the measurement or extent of something from side to side, Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress & Pressure Gradient is the change in pressure with respect to radial distance of element.

How to calculate Horizontal Distance given Shear Stress Distribution Profile?

The Horizontal Distance given Shear Stress Distribution Profile is defined as the distance where shear stress is calculated is calculated using Horizontal Distance = Width/2+(Shear Stress/Pressure Gradient). To calculate Horizontal Distance given Shear Stress Distribution Profile, you need Width (w), Shear Stress (𝜏) & Pressure Gradient (dp|dr). With our tool, you need to enter the respective value for Width, Shear Stress & Pressure Gradient and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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