Length of Piston for Vertical Upward Force on Piston Calculator

✖Vertical component of force is the resolved force acting along the vertical direction.ⓘ Vertical Component of Force [F_v]			+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%
✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity [μ]			+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%
✖Radial Clearance or gap is the distance between two surfaces adjacent to each other.ⓘ Radial Clearance [C_R]			+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 Vertical Upward Force on Piston [L_P]

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Length of Piston for Vertical Upward Force on Piston Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
L_P = F_v/(v_piston*pi*μ*(0.75*((D/C_R)^3)+1.5*((D/C_R)^2)))
This formula uses 1 Constants, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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.
Vertical Component of Force - (Measured in Newton) - Vertical component of force is the resolved force acting along the vertical direction.
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.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.
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.
Radial Clearance - (Measured in Meter) - Radial Clearance or gap is the distance between two surfaces adjacent to each other.

STEP 1: Convert Input(s) to Base Unit

Vertical Component of Force: 320 Newton --> 320 Newton No Conversion Required
Velocity of Piston: 0.045 Meter per Second --> 0.045 Meter per Second No Conversion Required
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Diameter of Piston: 3.5 Meter --> 3.5 Meter No Conversion Required
Radial Clearance: 0.45 Meter --> 0.45 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_P = F_v/(v_piston*pi*μ*(0.75*((D/C_R)^3)+1.5*((D/C_R)^2))) --> 320/(0.045*pi*1.02*(0.75*((3.5/0.45)^3)+1.5*((3.5/0.45)^2)))

Evaluating ... ...

L_P = 5.00235988327686

STEP 3: Convert Result to Output's Unit

5.00235988327686 Meter --> No Conversion Required

FINAL ANSWER

5.00235988327686 ≈ 5.00236 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 Vertical Upward Force on Piston

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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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 Vertical Upward Force on Piston Formula

LaTeX Go

What is Dynamic Viscosity?

The dynamic viscosity η (η = "eta") is a measure of the viscosity of a fluid (fluid: liquid, flowing substance). The higher the viscosity, the thicker (less liquid) the fluid; the lower the viscosity, the thinner (more liquid) it is.

How to Calculate Length of Piston for Vertical Upward Force on Piston?

Length of Piston for Vertical Upward Force on Piston calculator uses 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))) to calculate the Piston Length, The Length of Piston for Vertical Upward Force on Piston formula is defined as total length of tank under the action of piston force. Piston Length is denoted by L_P symbol.

How to calculate Length of Piston for Vertical Upward Force on Piston using this online calculator? To use this online calculator for Length of Piston for Vertical Upward Force on Piston, enter Vertical Component of Force (F_v), Velocity of Piston (v_piston), Dynamic Viscosity (μ), Diameter of Piston (D) & Radial Clearance (C_R) and hit the calculate button. Here is how the Length of Piston for Vertical Upward Force on Piston calculation can be explained with given input values -> 5.00236 = 320/(0.045*pi*1.02*(0.75*((3.5/0.45)^3)+1.5*((3.5/0.45)^2))).

FAQ

What is Length of Piston for Vertical Upward Force on Piston?

The Length of Piston for Vertical Upward Force on Piston formula is defined as total length of tank under the action of piston force and is represented as L_P = F_v/(v_piston*pi*μ*(0.75*((D/C_R)^3)+1.5*((D/C_R)^2))) or 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 component of force is the resolved force acting along the vertical direction, Velocity of piston in reciprocating pump is defined as the product of sin of angular velocity and time, radius of crank and angular velocity, The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied, 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 & Radial Clearance or gap is the distance between two surfaces adjacent to each other.

How to calculate Length of Piston for Vertical Upward Force on Piston?

The Length of Piston for Vertical Upward Force on Piston formula is defined as total length of tank under the action of piston force is calculated using 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))). To calculate Length of Piston for Vertical Upward Force on Piston, you need Vertical Component of Force (F_v), Velocity of Piston (v_piston), Dynamic Viscosity (μ), Diameter of Piston (D) & Radial Clearance (C_R). With our tool, you need to enter the respective value for Vertical Component of Force, Velocity of Piston, Dynamic Viscosity, Diameter of Piston & Radial Clearance 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 Vertical Component of Force, Velocity of Piston, Dynamic Viscosity, Diameter of Piston & Radial Clearance. We can use 2 other way(s) to calculate the same, which is/are as follows -

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