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Clearance given Shear Stress Formula

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Hydraulic Clearance is the gap or space between two surfaces adjacent to each other. Check FAQs

C H = \sqrt{1.5 \cdot D \cdot μ \cdot \frac{v piston}{𝜏}}

C_H - Hydraulic Clearance?D - Diameter of Piston?μ - Dynamic Viscosity?v_piston - Velocity of Piston?𝜏 - Shear Stress?

Clearance given Shear Stress Example

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With units

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Here is how the Clearance given Shear Stress equation looks like with Values.

Here is how the Clearance given Shear Stress equation looks like with Units.

Here is how the Clearance given Shear Stress equation looks like.

50.8758 = \sqrt{1.5 \cdot 3.5 \cdot 10.2 \cdot \frac{0.045}{93.1}}

50.8758mm = \sqrt{1.5 \cdot 3.5m \cdot 10.2P \cdot \frac{0.045m/s}{93.1Pa}}

50.8758 = \sqrt{1.5 \cdot 3.5 \cdot 10.2 \cdot \frac{0.045}{93.1}}

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Clearance given Shear Stress Solution

Follow our step by step solution on how to calculate Clearance given Shear Stress?

FIRST Step Consider the formula

C H = \sqrt{1.5 \cdot D \cdot μ \cdot \frac{v piston}{𝜏}}

Next Step Substitute values of Variables

∴

C H = \sqrt{1.5 \cdot 3.5m \cdot 10.2P \cdot \frac{0.045m/s}{93.1Pa}}

Next Step Convert Units

∴

C H = \sqrt{1.5 \cdot 3.5m \cdot 1.02Pa*s \cdot \frac{0.045m/s}{93.1Pa}}

Next Step Prepare to Evaluate

∴

C H = \sqrt{1.5 \cdot 3.5 \cdot 1.02 \cdot \frac{0.045}{93.1}}

Next Step Evaluate

∴

C H = 0.0508757885900716m

Next Step Convert to Output's Unit

∴

C H = 50.8757885900716mm

LAST Step Rounding Answer

∴

C H = 50.8758mm

Clearance given Shear Stress Formula Elements

Variables

Functions

Hydraulic Clearance

Hydraulic Clearance is the gap or space between two surfaces adjacent to each other.

Symbol: C_H

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Hydraulic Clearance

Diameter of Piston

Diameter of Piston is the actual diameter of the piston while the bore is the size of the cylinder and will always be larger than the piston.

Symbol: D

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Piston

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

Velocity of Piston

Velocity of piston in reciprocating pump is defined as the product of sin of angular velocity and time, radius of crank and angular velocity.

Symbol: v_piston

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Velocity of Piston

Shear Stress

Shear Stress is 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

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 in When Piston Velocity is Negligible to Average Velocity of Oil in Clearance Space category

Go Velocity of Fluid

u Oiltank = dp|dr \cdot 0.5 \cdot \frac{R \cdot R - C H \cdot R}{μ}

Go Pressure Gradient given Velocity of Fluid

dp|dr = \frac{u Oiltank}{0.5 \cdot \frac{R \cdot R - C H \cdot R}{μ}}

Go Dynamic Viscosity given Velocity of Fluid

μ = dp|dr \cdot 0.5 \cdot (\frac{R^{2} - C H \cdot R}{u Fluid})

Go Pressure Drop over Lengths of Piston

ΔPf = (6 \cdot μ \cdot v piston \cdot \frac{L P}{{C R}^{3}}) \cdot (0.5 \cdot D)

How to Evaluate Clearance given Shear Stress?

Clearance given Shear Stress evaluator uses Hydraulic Clearance = sqrt(1.5*Diameter of Piston*Dynamic Viscosity*Velocity of Piston/Shear Stress) to evaluate the Hydraulic Clearance, The Clearance given Shear Stress is defined as the distance or gap present between piston and tank boundary for motion. Hydraulic Clearance is denoted by C_H symbol.

How to evaluate Clearance given Shear Stress using this online evaluator? To use this online evaluator for Clearance given Shear Stress, enter Diameter of Piston (D), Dynamic Viscosity (μ), Velocity of Piston (v_piston) & Shear Stress (𝜏) and hit the calculate button.

FAQs on Clearance given Shear Stress

What is the formula to find Clearance given Shear Stress?

The formula of Clearance given Shear Stress is expressed as Hydraulic Clearance = sqrt(1.5*Diameter of Piston*Dynamic Viscosity*Velocity of Piston/Shear Stress). Here is an example- 50875.79 = sqrt(1.5*3.5*1.02*0.045/93.1).

How to calculate Clearance given Shear Stress?

With Diameter of Piston (D), Dynamic Viscosity (μ), Velocity of Piston (v_piston) & Shear Stress (𝜏) we can find Clearance given Shear Stress using the formula - Hydraulic Clearance = sqrt(1.5*Diameter of Piston*Dynamic Viscosity*Velocity of Piston/Shear Stress). This formula also uses Square Root (sqrt) function(s).

Can the Clearance given Shear Stress be negative?

No, the Clearance given Shear Stress, measured in Length cannot be negative.

Which unit is used to measure Clearance given Shear Stress?

Clearance given Shear Stress is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Clearance given Shear Stress can be measured.

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Clearance given Shear Stress Formula

Clearance given Shear Stress Example

Clearance given Shear Stress Solution

Clearance given Shear Stress Formula Elements

Other formulas in When Piston Velocity is Negligible to Average Velocity of Oil in Clearance Space category

How to Evaluate Clearance given Shear Stress?

FAQs on Clearance given Shear Stress

Variable Name