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Clearance given Pressure Drop over Length of Piston Formula

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

C R = {(3 \cdot D \cdot μ \cdot v piston \cdot \frac{L P}{ΔPf})}^{\frac{1}{3}}

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

Clearance given Pressure Drop over Length of Piston Example

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Here is how the Clearance given Pressure Drop over Length of Piston equation looks like with Values.

Here is how the Clearance given Pressure Drop over Length of Piston equation looks like with Units.

Here is how the Clearance given Pressure Drop over Length of Piston equation looks like.

0.418 = {(3 \cdot 3.5 \cdot 10.2 \cdot 0.045 \cdot \frac{5}{33})}^{\frac{1}{3}}

0.418m = {(3 \cdot 3.5m \cdot 10.2P \cdot 0.045m/s \cdot \frac{5m}{33Pa})}^{\frac{1}{3}}

0.418 = {(3 \cdot 3.5 \cdot 10.2 \cdot 0.045 \cdot \frac{5}{33})}^{\frac{1}{3}}

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Clearance given Pressure Drop over Length of Piston Solution

Follow our step by step solution on how to calculate Clearance given Pressure Drop over Length of Piston?

FIRST Step Consider the formula

C R = {(3 \cdot D \cdot μ \cdot v piston \cdot \frac{L P}{ΔPf})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

C R = {(3 \cdot 3.5m \cdot 10.2P \cdot 0.045m/s \cdot \frac{5m}{33Pa})}^{\frac{1}{3}}

Next Step Convert Units

∴

C R = {(3 \cdot 3.5m \cdot 1.02Pa*s \cdot 0.045m/s \cdot \frac{5m}{33Pa})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

C R = {(3 \cdot 3.5 \cdot 1.02 \cdot 0.045 \cdot \frac{5}{33})}^{\frac{1}{3}}

Next Step Evaluate

∴

C R = 0.417977287275628m

LAST Step Rounding Answer

∴

C R = 0.418m

Clearance given Pressure Drop over Length of Piston Formula Elements

Variables

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

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

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

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

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 Pressure Drop over Length of Piston?

Clearance given Pressure Drop over Length of Piston evaluator uses Radial Clearance = (3*Diameter of Piston*Dynamic Viscosity*Velocity of Piston*Piston Length/Pressure Drop due to Friction)^(1/3) to evaluate the Radial Clearance, The Clearance given Pressure Drop over Length of Piston formula is defined as the amount of space at end of piston for movement in tank. Radial Clearance is denoted by C_R symbol.

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

FAQs on Clearance given Pressure Drop over Length of Piston

What is the formula to find Clearance given Pressure Drop over Length of Piston?

The formula of Clearance given Pressure Drop over Length of Piston is expressed as Radial Clearance = (3*Diameter of Piston*Dynamic Viscosity*Velocity of Piston*Piston Length/Pressure Drop due to Friction)^(1/3). Here is an example- 0.417977 = (3*3.5*1.02*0.045*5/33)^(1/3).

How to calculate Clearance given Pressure Drop over Length of Piston?

With Diameter of Piston (D), Dynamic Viscosity (μ), Velocity of Piston (v_piston), Piston Length (L_P) & Pressure Drop due to Friction (ΔPf) we can find Clearance given Pressure Drop over Length of Piston using the formula - Radial Clearance = (3*Diameter of Piston*Dynamic Viscosity*Velocity of Piston*Piston Length/Pressure Drop due to Friction)^(1/3).

Can the Clearance given Pressure Drop over Length of Piston be negative?

Yes, the Clearance given Pressure Drop over Length of Piston, measured in Length can be negative.

Which unit is used to measure Clearance given Pressure Drop over Length of Piston?

Clearance given Pressure Drop over Length of Piston is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Clearance given Pressure Drop over Length of Piston can be measured.

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Clearance given Pressure Drop over Length of Piston Formula

Clearance given Pressure Drop over Length of Piston Example

Clearance given Pressure Drop over Length of Piston Solution

Clearance given Pressure Drop over Length of Piston Formula Elements

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

How to Evaluate Clearance given Pressure Drop over Length of Piston?

FAQs on Clearance given Pressure Drop over Length of Piston

Variable Name