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 of a fluid is the measure of its resistance to flow when an external force is applied.ⓘ Dynamic Viscosity [μ_viscosity]			+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]

⎘ Copy

👎

Formula

✖

Length of Piston for Pressure Drop over Piston

Formula

`"L"_{"P"} = "ΔPf"/((6*"μ"_{"viscosity"}*"v"_{"piston"}/("C"_{"R"}^3))*(0.5*"D"+"C"_{"R"}))`

Example

`"4.963235m"="33Pa"/((6*"10.2P"*"0.045m/s"/(("0.45m")^3))*(0.5*"3.5m"+"0.45m"))`

Calculator

LaTeX

Reset

👍

Download Dash-Pot Mechanism Formulas PDF

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_viscosity*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 of a fluid is the measure of its resistance to flow when an external 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_viscosity*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 00.020 seconds)

You are here -

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

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< 12 Dash-Pot Mechanism Calculators

Velocity of Flow in Oil Tank

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 Velocity of Flow in Oil Tank

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)

Length of Piston for Vertical Upward Force on Piston

Go 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)))

Vertical Upward Force on Piston given Piston Velocity

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

Length of Piston for Shear Force Resisting Motion of Piston

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

Shear Force Resisting Motion of Piston

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

Pressure Gradient given Rate of Flow

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

Length of Piston for Pressure Drop over Piston

Go 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 over Piston

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

Pressure Drop over Length of Piston given Vertical Upward Force on Piston

Go Pressure Drop due to Friction = Vertical Component of Force/(0.25*pi*Diameter of Piston*Diameter of Piston)

Vertical Force given Total Force

Go Vertical Component of Force = Shear Force-Total Force in Piston

Total Forces

Go Total Force = Vertical Component of Force+Shear Force

Length of Piston for Pressure Drop over Piston Formula

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_viscosity), 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_viscosity*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 of a fluid is the measure of its resistance to flow when an external 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_viscosity), 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)))

Home

FREE PDFs

🔍 Search