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Velocity of Piston for Pressure reduction over Length of Piston Formula

GoVelocity of Piston given Shear Stress 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{ΔPf}{(3 \cdot μ \cdot \frac{L P}{{C R}^{3}}) \cdot (D)}

v_piston - Velocity of Piston?ΔPf - Pressure Drop due to Friction?μ - Dynamic Viscosity?L_P - Piston Length?C_R - Radial Clearance?D - Diameter of Piston?

Velocity of Piston for Pressure reduction over Length of Piston Example

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Here is how the Velocity of Piston for Pressure reduction over Length of Piston equation looks like with Values.

Here is how the Velocity of Piston for Pressure reduction over Length of Piston equation looks like with Units.

Here is how the Velocity of Piston for Pressure reduction over Length of Piston equation looks like.

0.0562 = \frac{33}{(3 \cdot 10.2 \cdot \frac{5}{{0.45}^{3}}) \cdot (3.5)}

0.0562m/s = \frac{33Pa}{(3 \cdot 10.2P \cdot \frac{5m}{{0.45m}^{3}}) \cdot (3.5m)}

0.0562 = \frac{33}{(3 \cdot 10.2 \cdot \frac{5}{{0.45}^{3}}) \cdot (3.5)}

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Velocity of Piston for Pressure reduction over Length of Piston Solution

Follow our step by step solution on how to calculate Velocity of Piston for Pressure reduction over Length of Piston?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

v piston = \frac{33Pa}{(3 \cdot 10.2P \cdot \frac{5m}{{0.45m}^{3}}) \cdot (3.5m)}

Next Step Convert Units

∴

v piston = \frac{33Pa}{(3 \cdot 1.02Pa*s \cdot \frac{5m}{{0.45m}^{3}}) \cdot (3.5m)}

Next Step Prepare to Evaluate

∴

v piston = \frac{33}{(3 \cdot 1.02 \cdot \frac{5}{{0.45}^{3}}) \cdot (3.5)}

Next Step Evaluate

∴

v piston = 0.056155462184874m/s

LAST Step Rounding Answer

∴

v piston = 0.0562m/s

Velocity of Piston for Pressure reduction over Length of Piston 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

Pressure Drop due to Friction

Pressure Drop due to Friction is the decrease in the value of the pressure due to the influence of friction.

Symbol: ΔPf

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Pressure Drop due to Friction

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

Piston Length

Piston Length is how far the piston travels in the cylinder, which is determined by the cranks on the crankshaft. length.

Symbol: L_P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Piston Length

Radial Clearance

Radial Clearance or gap is the distance between two surfaces adjacent to each other.

Symbol: C_R

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Radial 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

Other Formulas to find Velocity of Piston

Go Velocity of Piston given Shear Stress

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

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 for Pressure reduction over Length of Piston?

Velocity of Piston for Pressure reduction over Length of Piston evaluator uses Velocity of Piston = Pressure Drop due to Friction/((3*Dynamic Viscosity*Piston Length/(Radial Clearance^3))*(Diameter of Piston)) to evaluate the Velocity of Piston, The Velocity of Piston for Pressure reduction over Length of Piston is defined as speed at which piston is moving down. Velocity of Piston is denoted by v_piston symbol.

How to evaluate Velocity of Piston for Pressure reduction over Length of Piston using this online evaluator? To use this online evaluator for Velocity of Piston for Pressure reduction over Length of Piston, enter Pressure Drop due to Friction (ΔPf), Dynamic Viscosity (μ), Piston Length (L_P), Radial Clearance (C_R) & Diameter of Piston (D) and hit the calculate button.

FAQs on Velocity of Piston for Pressure reduction over Length of Piston

What is the formula to find Velocity of Piston for Pressure reduction over Length of Piston?

The formula of Velocity of Piston for Pressure reduction over Length of Piston is expressed as Velocity of Piston = Pressure Drop due to Friction/((3*Dynamic Viscosity*Piston Length/(Radial Clearance^3))*(Diameter of Piston)). Here is an example- 0.056155 = 33/((3*1.02*5/(0.45^3))*(3.5)).

How to calculate Velocity of Piston for Pressure reduction over Length of Piston?

With Pressure Drop due to Friction (ΔPf), Dynamic Viscosity (μ), Piston Length (L_P), Radial Clearance (C_R) & Diameter of Piston (D) we can find Velocity of Piston for Pressure reduction over Length of Piston using the formula - Velocity of Piston = Pressure Drop due to Friction/((3*Dynamic Viscosity*Piston Length/(Radial Clearance^3))*(Diameter of Piston)).

What are the other ways to Calculate Velocity of Piston?

Here are the different ways to Calculate Velocity of Piston-

Velocity of Piston=Shear Stress/(1.5*Diameter of Piston*Dynamic Viscosity/(Hydraulic Clearance*Hydraulic Clearance))

Can the Velocity of Piston for Pressure reduction over Length of Piston be negative?

Yes, the Velocity of Piston for Pressure reduction over Length of Piston, measured in Speed can be negative.

Which unit is used to measure Velocity of Piston for Pressure reduction over Length of Piston?

Velocity of Piston for Pressure reduction over Length of Piston 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 for Pressure reduction over Length of Piston can be measured.

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Velocity of Piston for Pressure reduction over Length of Piston Formula

​GoVelocity of Piston given Shear Stress Formula

Velocity of Piston for Pressure reduction over Length of Piston Example

Velocity of Piston for Pressure reduction over Length of Piston Solution

Velocity of Piston for Pressure reduction over Length of Piston 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 for Pressure reduction over Length of Piston?

FAQs on Velocity of Piston for Pressure reduction over Length of Piston

Variable Name

GoVelocity of Piston given Shear Stress Formula