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Velocity of Piston given Shear Stress Formula

GoVelocity of Piston for Pressure reduction over Length of Piston Formula

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

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

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

Velocity of Piston given Shear Stress Example

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Here is how the Velocity of Piston given Shear Stress equation looks like with Values.

Here is how the Velocity of Piston given Shear Stress equation looks like with Units.

Here is how the Velocity of Piston given Shear Stress equation looks like.

0.0435 = \frac{93.1}{1.5 \cdot 3.5 \cdot \frac{10.2}{50 \cdot 50}}

0.0435m/s = \frac{93.1Pa}{1.5 \cdot 3.5m \cdot \frac{10.2P}{50mm \cdot 50mm}}

0.0435 = \frac{93.1}{1.5 \cdot 3.5 \cdot \frac{10.2}{50 \cdot 50}}

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Velocity of Piston given Shear Stress Solution

Follow our step by step solution on how to calculate Velocity of Piston given Shear Stress?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

v piston = \frac{93.1Pa}{1.5 \cdot 3.5m \cdot \frac{10.2P}{50mm \cdot 50mm}}

Next Step Convert Units

∴

v piston = \frac{93.1Pa}{1.5 \cdot 3.5m \cdot \frac{1.02Pa*s}{0.05m \cdot 0.05m}}

Next Step Prepare to Evaluate

∴

v piston = \frac{93.1}{1.5 \cdot 3.5 \cdot \frac{1.02}{0.05 \cdot 0.05}}

Next Step Evaluate

∴

v piston = 0.0434640522875817m/s

LAST Step Rounding Answer

∴

v piston = 0.0435m/s

Velocity of Piston given Shear Stress Formula Elements

Variables

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

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

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

Other Formulas to find Velocity of Piston

Go Velocity of Piston for Pressure reduction over Length of Piston

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

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 Velocity of Piston given Shear Stress?

Velocity of Piston given Shear Stress evaluator uses Velocity of Piston = Shear Stress/(1.5*Diameter of Piston*Dynamic Viscosity/(Hydraulic Clearance*Hydraulic Clearance)) to evaluate the Velocity of Piston, The Velocity of Piston given Shear Stress is defined as the average velocity in tank due to movement of piston. Velocity of Piston is denoted by v_piston symbol.

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

FAQs on Velocity of Piston given Shear Stress

What is the formula to find Velocity of Piston given Shear Stress?

The formula of Velocity of Piston given Shear Stress is expressed as Velocity of Piston = Shear Stress/(1.5*Diameter of Piston*Dynamic Viscosity/(Hydraulic Clearance*Hydraulic Clearance)). Here is an example- 0.043464 = 93.1/(1.5*3.5*1.02/(0.05*0.05)).

How to calculate Velocity of Piston given Shear Stress?

With Shear Stress (𝜏), Diameter of Piston (D), Dynamic Viscosity (μ) & Hydraulic Clearance (C_H) we can find Velocity of Piston given Shear Stress using the formula - Velocity of Piston = Shear Stress/(1.5*Diameter of Piston*Dynamic Viscosity/(Hydraulic Clearance*Hydraulic Clearance)).

What are the other ways to Calculate Velocity of Piston?

Here are the different ways to Calculate Velocity of Piston-

Velocity of Piston=Pressure Drop due to Friction/((3*Dynamic Viscosity*Piston Length/(Radial Clearance^3))*(Diameter of Piston))

Can the Velocity of Piston given Shear Stress be negative?

Yes, the Velocity of Piston given Shear Stress, measured in Speed can be negative.

Which unit is used to measure Velocity of Piston given Shear Stress?

Velocity of Piston given Shear Stress is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Velocity of Piston given Shear Stress can be measured.

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Velocity of Piston given Shear Stress Formula

​GoVelocity of Piston for Pressure reduction over Length of Piston Formula

Velocity of Piston given Shear Stress Example

Velocity of Piston given Shear Stress Solution

Velocity of Piston given Shear Stress Formula Elements

Other Formulas to find Velocity of Piston

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

How to Evaluate Velocity of Piston given Shear Stress?

FAQs on Velocity of Piston given Shear Stress

Variable Name

GoVelocity of Piston for Pressure reduction over Length of Piston Formula