Velocity of Pistons for Pressure Drop over Length of 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%
✖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%
✖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%

✖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 Pistons for Pressure Drop over Length of Piston [v_piston]

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Velocity of Pistons for Pressure Drop over Length of Piston Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.
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)
Piston Length: 5 Meter --> 5 Meter 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

v_piston = ΔPf/((6*μ*L_P/(C_R^3))*(0.5*D+C_R)) --> 33/((6*1.02*5/(0.45^3))*(0.5*3.5+0.45))

Evaluating ... ...

v_piston = 0.0446691176470588

STEP 3: Convert Result to Output's Unit

0.0446691176470588 Meter per Second --> No Conversion Required

FINAL ANSWER

0.0446691176470588 ≈ 0.044669 Meter per Second <-- Velocity of Piston

(Calculation completed in 00.008 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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< Velocity of Piston Calculators

Velocity of Piston given Velocity of Flow in Oil Tank

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

Velocity of Piston for Vertical Upward Force on Piston

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

Velocity of Piston for Shear Force Resisting Motion of Piston

LaTeX Go Velocity of Piston = Shear Force/(pi*Dynamic Viscosity*Piston Length*(1.5*(Diameter of Piston/Radial Clearance)^2+4*(Diameter of Piston/Radial Clearance)))

Velocity of Pistons for Pressure Drop over Length of Piston

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

Velocity of Pistons for Pressure Drop over Length of Piston Formula

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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 Velocity of Pistons for Pressure Drop over Length of Piston?

Velocity of Pistons for Pressure Drop over Length of Piston calculator uses Velocity of Piston = Pressure Drop due to Friction/((6*Dynamic Viscosity*Piston Length/(Radial Clearance^3))*(0.5*Diameter of Piston+Radial Clearance)) to calculate the Velocity of Piston, The Velocity of Pistons for Pressure Drop 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 calculate Velocity of Pistons for Pressure Drop over Length of Piston using this online calculator? To use this online calculator for Velocity of Pistons for Pressure Drop 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. Here is how the Velocity of Pistons for Pressure Drop over Length of Piston calculation can be explained with given input values -> 0.044669 = 33/((6*1.02*5/(0.45^3))*(0.5*3.5+0.45)).

FAQ

What is Velocity of Pistons for Pressure Drop over Length of Piston?

The Velocity of Pistons for Pressure Drop over Length of Piston is defined as speed at which piston is moving down and is represented as v_piston = ΔPf/((6*μ*L_P/(C_R^3))*(0.5*D+C_R)) or Velocity of Piston = Pressure Drop due to Friction/((6*Dynamic Viscosity*Piston Length/(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, Piston Length is how far the piston travels in the cylinder, which is determined by the cranks on the crankshaft. length, 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 Velocity of Pistons for Pressure Drop over Length of Piston?

The Velocity of Pistons for Pressure Drop over Length of Piston is defined as speed at which piston is moving down is calculated using Velocity of Piston = Pressure Drop due to Friction/((6*Dynamic Viscosity*Piston Length/(Radial Clearance^3))*(0.5*Diameter of Piston+Radial Clearance)). To calculate Velocity of Pistons for Pressure Drop over Length of Piston, you need Pressure Drop due to Friction (ΔPf), Dynamic Viscosity (μ), Piston Length (L_P), 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, Piston Length, 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 Velocity of Piston?

In this formula, Velocity of Piston uses Pressure Drop due to Friction, Dynamic Viscosity, Piston Length, Radial Clearance & Diameter of Piston. We can use 3 other way(s) to calculate the same, which is/are as follows -

Velocity of Piston = ((0.5*Pressure Gradient*(Horizontal Distance*Horizontal Distance-Hydraulic Clearance*Horizontal Distance)/Dynamic Viscosity)-Fluid Velocity in Oil Tank)*(Hydraulic Clearance/Horizontal Distance)
Velocity of Piston = Vertical Component of Force/(Piston Length*pi*Dynamic Viscosity*(0.75*((Diameter of Piston/Radial Clearance)^3)+1.5*((Diameter of Piston/Radial Clearance)^2)))
Velocity of Piston = Shear Force/(pi*Dynamic Viscosity*Piston Length*(1.5*(Diameter of Piston/Radial Clearance)^2+4*(Diameter of Piston/Radial Clearance)))

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