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Clearance given Pressure Drop over Length of Piston Calculator

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

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When Shear Force is Negligible

✖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.ⓘ Diameter of Piston [D]			+10% -10%
✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity [μ]			+10% -10%
✖Velocity of piston in reciprocating pump is defined as the product of sin of angular velocity and time, radius of crank and angular velocity.ⓘ Velocity of Piston [v_piston]			+10% -10%
✖Piston Length is how far the piston travels in the cylinder, which is determined by the cranks on the crankshaft. length.ⓘ Piston Length [L_P]			+10% -10%
✖Pressure Drop due to Friction is the decrease in the value of the pressure due to the influence of friction.ⓘ Pressure Drop due to Friction [ΔPf]			+10% -10%

✖Radial Clearance or gap is the distance between two surfaces adjacent to each other.ⓘ Clearance given Pressure Drop over Length of Piston [C_R]

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Clearance given Pressure Drop over Length of Piston Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radial Clearance = (3*Diameter of Piston*Dynamic Viscosity*Velocity of Piston*Piston Length/Pressure Drop due to Friction)^(1/3)
C_R = (3*D*μ*v_piston*L_P/ΔPf)^(1/3)
This formula uses 6 Variables

Variables Used

Radial Clearance - (Measured in Meter) - Radial Clearance or gap is the distance between two surfaces adjacent to each other.
Diameter of Piston - (Measured in Meter) - 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.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.
Velocity of Piston - (Measured in Meter per Second) - Velocity of piston in reciprocating pump is defined as the product of sin of angular velocity and time, radius of crank and angular velocity.
Piston Length - (Measured in Meter) - Piston Length is how far the piston travels in the cylinder, which is determined by the cranks on the crankshaft. length.
Pressure Drop due to Friction - (Measured in Pascal) - Pressure Drop due to Friction is the decrease in the value of the pressure due to the influence of friction.

STEP 1: Convert Input(s) to Base Unit

Diameter of Piston: 3.5 Meter --> 3.5 Meter No Conversion Required
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Velocity of Piston: 0.045 Meter per Second --> 0.045 Meter per Second No Conversion Required
Piston Length: 5 Meter --> 5 Meter No Conversion Required
Pressure Drop due to Friction: 33 Pascal --> 33 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_R = (3*D*μ*v_piston*L_P/ΔPf)^(1/3) --> (3*3.5*1.02*0.045*5/33)^(1/3)

Evaluating ... ...

C_R = 0.417977287275628

STEP 3: Convert Result to Output's Unit

0.417977287275628 Meter --> No Conversion Required

FINAL ANSWER

0.417977287275628 ≈ 0.417977 Meter <-- Radial Clearance

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Laminar Flow » Dash Pot Mechanism » When Piston Velocity is Negligible to Average Velocity of Oil in Clearance Space » Clearance given Pressure Drop over Length of Piston

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

Pressure Gradient given Velocity of Fluid

LaTeX Go Pressure Gradient = Fluid Velocity in Oil Tank/(0.5*(Horizontal Distance*Horizontal Distance-Hydraulic Clearance*Horizontal Distance)/Dynamic Viscosity)

Velocity of Fluid

LaTeX Go Fluid Velocity in Oil Tank = Pressure Gradient*0.5*(Horizontal Distance*Horizontal Distance-Hydraulic Clearance*Horizontal Distance)/Dynamic Viscosity

Pressure Drop over Lengths of Piston

LaTeX Go Pressure Drop due to Friction = (6*Dynamic Viscosity*Velocity of Piston*Piston Length/(Radial Clearance^3))*(0.5*Diameter of Piston)

Dynamic Viscosity given Velocity of Fluid

LaTeX Go Dynamic Viscosity = Pressure Gradient*0.5*((Horizontal Distance^2-Hydraulic Clearance*Horizontal Distance)/Fluid Velocity)

Clearance given Pressure Drop over Length of Piston Formula

LaTeX Go

Radial Clearance = (3*Diameter of Piston*Dynamic Viscosity*Velocity of Piston*Piston Length/Pressure Drop due to Friction)^(1/3)
C_R = (3*D*μ*v_piston*L_P/ΔPf)^(1/3)

What is Clearance?

The gap or lack of it between the hole and shaft is called the clearance. Clearance is determined by the size difference between the parts. Fits and tolerances are used to specify the size range of parts.

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

Clearance given Pressure Drop over Length of Piston calculator uses Radial Clearance = (3*Diameter of Piston*Dynamic Viscosity*Velocity of Piston*Piston Length/Pressure Drop due to Friction)^(1/3) to calculate 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 calculate Clearance given Pressure Drop over Length of Piston using this online calculator? To use this online calculator 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. Here is how the Clearance given Pressure Drop over Length of Piston calculation can be explained with given input values -> 0.417977 = (3*3.5*1.02*0.045*5/33)^(1/3).

FAQ

What is Clearance given Pressure Drop over Length of Piston?

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 and is represented as C_R = (3*D*μ*v_piston*L_P/ΔPf)^(1/3) or Radial Clearance = (3*Diameter of Piston*Dynamic Viscosity*Velocity of Piston*Piston Length/Pressure Drop due to Friction)^(1/3). 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, The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied, Velocity of piston in reciprocating pump is defined as the product of sin of angular velocity and time, radius of crank and angular velocity, Piston Length is how far the piston travels in the cylinder, which is determined by the cranks on the crankshaft. length & Pressure Drop due to Friction is the decrease in the value of the pressure due to the influence of friction.

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

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 is calculated using Radial Clearance = (3*Diameter of Piston*Dynamic Viscosity*Velocity of Piston*Piston Length/Pressure Drop due to Friction)^(1/3). To calculate Clearance given Pressure Drop over Length of Piston, you need Diameter of Piston (D), Dynamic Viscosity (μ), Velocity of Piston (v_piston), Piston Length (L_P) & Pressure Drop due to Friction (ΔPf). With our tool, you need to enter the respective value for Diameter of Piston, Dynamic Viscosity, Velocity of Piston, Piston Length & Pressure Drop due to Friction 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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