Length of Piston for Pressure Drop over Piston Calculator

✖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%
✖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%
✖Radial Clearance or gap is the distance between two surfaces adjacent to each other.ⓘ Radial Clearance [C_R]			+10% -10%
✖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%

✖Piston Length is how far the piston travels in the cylinder, which is determined by the cranks on the crankshaft. length.ⓘ Length of Piston for Pressure Drop over Piston [L_P]

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Length of Piston for Pressure Drop over Piston Solution

STEP 0: Pre-Calculation Summary

Formula Used

Piston Length = Pressure Drop due to Friction/((6*Dynamic Viscosity*Velocity of Piston/(Radial Clearance^3))*(0.5*Diameter of Piston+Radial Clearance))
L_P = ΔPf/((6*μ*v_piston/(C_R^3))*(0.5*D+C_R))
This formula uses 6 Variables

Variables Used

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Pressure Drop due to Friction: 33 Pascal --> 33 Pascal 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
Radial Clearance: 0.45 Meter --> 0.45 Meter No Conversion Required
Diameter of Piston: 3.5 Meter --> 3.5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_P = ΔPf/((6*μ*v_piston/(C_R^3))*(0.5*D+C_R)) --> 33/((6*1.02*0.045/(0.45^3))*(0.5*3.5+0.45))

Evaluating ... ...

L_P = 4.96323529411765

STEP 3: Convert Result to Output's Unit

4.96323529411765 Meter --> No Conversion Required

FINAL ANSWER

4.96323529411765 ≈ 4.963235 Meter <-- Piston Length

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Laminar Flow » Dash Pot Mechanism » Length of Piston for Pressure Drop over Piston

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Dash Pot Mechanism Calculators

Pressure Gradient given Velocity of Flow in Oil Tank

LaTeX Go Pressure Gradient = (Dynamic Viscosity*2*(Fluid Velocity in Oil Tank-(Velocity of Piston*Horizontal Distance/Hydraulic Clearance)))/(Horizontal Distance*Horizontal Distance-Hydraulic Clearance*Horizontal Distance)

Velocity of Flow in Oil Tank

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

Pressure Gradient given Rate of Flow

LaTeX Go Pressure Gradient = (12*Dynamic Viscosity/(Radial Clearance^3))*((Discharge in Laminar Flow/pi*Diameter of Piston)+Velocity of Piston*0.5*Radial Clearance)

Pressure Drop over Piston

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

Length of Piston for Pressure Drop over Piston Formula

LaTeX Go

What is Pressure Drop?

Pressure drop is defined as the difference in total pressure between two points of a fluid carrying network. A pressure drop occurs when frictional forces, caused by the resistance to flow, act on a fluid as it flows through the tube.

How to Calculate Length of Piston for Pressure Drop over Piston?

Length of Piston for Pressure Drop over Piston calculator uses Piston Length = Pressure Drop due to Friction/((6*Dynamic Viscosity*Velocity of Piston/(Radial Clearance^3))*(0.5*Diameter of Piston+Radial Clearance)) to calculate the Piston Length, The Length of Piston for Pressure Drop over Piston is defined as total length of flow in tank due to piston motion. Piston Length is denoted by L_P symbol.

How to calculate Length of Piston for Pressure Drop over Piston using this online calculator? To use this online calculator for Length of Piston for Pressure Drop over Piston, enter Pressure Drop due to Friction (ΔPf), Dynamic Viscosity (μ), Velocity of Piston (v_piston), Radial Clearance (C_R) & Diameter of Piston (D) and hit the calculate button. Here is how the Length of Piston for Pressure Drop over Piston calculation can be explained with given input values -> 4.963235 = 33/((6*1.02*0.045/(0.45^3))*(0.5*3.5+0.45)).

FAQ

What is Length of Piston for Pressure Drop over Piston?

The Length of Piston for Pressure Drop over Piston is defined as total length of flow in tank due to piston motion and is represented as L_P = ΔPf/((6*μ*v_piston/(C_R^3))*(0.5*D+C_R)) or Piston Length = Pressure Drop due to Friction/((6*Dynamic Viscosity*Velocity of Piston/(Radial Clearance^3))*(0.5*Diameter of Piston+Radial Clearance)). Pressure Drop due to Friction is the decrease in the value of the pressure due to the influence of friction, 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, Radial Clearance or gap is the distance between two surfaces adjacent to each other & 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.

How to calculate Length of Piston for Pressure Drop over Piston?

The Length of Piston for Pressure Drop over Piston is defined as total length of flow in tank due to piston motion is calculated using Piston Length = Pressure Drop due to Friction/((6*Dynamic Viscosity*Velocity of Piston/(Radial Clearance^3))*(0.5*Diameter of Piston+Radial Clearance)). To calculate Length of Piston for Pressure Drop over Piston, you need Pressure Drop due to Friction (ΔPf), Dynamic Viscosity (μ), Velocity of Piston (v_piston), Radial Clearance (C_R) & Diameter of Piston (D). With our tool, you need to enter the respective value for Pressure Drop due to Friction, Dynamic Viscosity, Velocity of Piston, Radial Clearance & Diameter of Piston and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Piston Length?

In this formula, Piston Length uses Pressure Drop due to Friction, Dynamic Viscosity, Velocity of Piston, Radial Clearance & Diameter of Piston. We can use 2 other way(s) to calculate the same, which is/are as follows -

Piston Length = Vertical Component of Force/(Velocity of Piston*pi*Dynamic Viscosity*(0.75*((Diameter of Piston/Radial Clearance)^3)+1.5*((Diameter of Piston/Radial Clearance)^2)))
Piston Length = Shear Force/(pi*Dynamic Viscosity*Velocity of Piston*(1.5*(Diameter of Piston/Radial Clearance)^2+4*(Diameter of Piston/Radial Clearance)))

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