Diameter of Piston for Pressure Drop over Length 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%
✖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 for Pressure Drop over Length [D]

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Formula

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Diameter of Piston for Pressure Drop over Length

Formula

`"D" = ("ΔPf"/(6*"μ"_{"viscosity"}*"v"_{"piston"}*"L"_{"P"}/("C"_{"R"}^3)))*2`

Example

`"4.367647m"=("33Pa"/(6*"10.2P"*"0.045m/s"*"5m"/(("0.45m")^3)))*2`

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Diameter of Piston for Pressure Drop over Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Piston = (Pressure Drop due to Friction/(6*Dynamic Viscosity*Velocity of Piston*Piston Length/(Radial Clearance^3)))*2
D = (ΔPf/(6*μ_viscosity*v_piston*L_P/(C_R^3)))*2
This formula uses 6 Variables

Variables Used

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.
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.
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.

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
Piston Length: 5 Meter --> 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

D = (ΔPf/(6*μ_viscosity*v_piston*L_P/(C_R^3)))*2 --> (33/(6*1.02*0.045*5/(0.45^3)))*2

Evaluating ... ...

D = 4.36764705882353

STEP 3: Convert Result to Output's Unit

4.36764705882353 Meter --> No Conversion Required

FINAL ANSWER

4.36764705882353 ≈ 4.367647 Meter <-- Diameter of Piston

(Calculation completed in 00.004 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 » Diameter of Piston for Pressure Drop over Length

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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!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< 14 When Piston Velocity is Negligible to Average Velocity of Oil in Clearance Space Calculators

Dynamic Viscosity given velocity of piston

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

Pressure Gradient given Velocity of Fluid

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

Velocity of Fluid

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

Length of Piston for Pressure Reduction over Length of Piston

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

Dynamic Viscosity for Pressure Drop over Length

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

Pressure Drop over Lengths of Piston

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

Velocity of Piston for Pressure reduction over Length of Piston

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

Diameter of Piston for Pressure Drop over Length

Go Diameter of Piston = (Pressure Drop due to Friction/(6*Dynamic Viscosity*Velocity of Piston*Piston Length/(Radial Clearance^3)))*2

Dynamic Viscosity given Velocity of Fluid

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

Clearance given Pressure Drop over Length of Piston

Go Radial Clearance = (3*Diameter of Piston*Dynamic Viscosity*Velocity of Piston*Piston Length/Pressure Drop due to Friction)^(1/3)

Dynamic Viscosity given Shear Stress in Piston

Go Dynamic Viscosity = Shear Stress/(1.5*Diameter of Piston*Velocity of Piston/(Hydraulic Clearance*Hydraulic Clearance))

Velocity of Piston given Shear Stress

Go Velocity of Piston = Shear Stress/(1.5*Diameter of Piston*Dynamic Viscosity/(Hydraulic Clearance*Hydraulic Clearance))

Diameter of Piston given Shear Stress

Go Diameter of Piston = Shear Stress/(1.5*Dynamic Viscosity*Velocity of Piston/(Hydraulic Clearance*Hydraulic Clearance))

Clearance given Shear Stress

Go Hydraulic Clearance = sqrt(1.5*Diameter of Piston*Dynamic Viscosity*Velocity of Piston/Shear Stress)

Diameter of Piston for Pressure Drop over Length Formula

Diameter of Piston = (Pressure Drop due to Friction/(6*Dynamic Viscosity*Velocity of Piston*Piston Length/(Radial Clearance^3)))*2
D = (ΔPf/(6*μ_viscosity*v_piston*L_P/(C_R^3)))*2

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 Diameter of Piston for Pressure Drop over Length?

Diameter of Piston for Pressure Drop over Length calculator uses Diameter of Piston = (Pressure Drop due to Friction/(6*Dynamic Viscosity*Velocity of Piston*Piston Length/(Radial Clearance^3)))*2 to calculate the Diameter of Piston, The Diameter of Piston for Pressure Drop over Length is defined as the width of tank or piston used for study. Diameter of Piston is denoted by D symbol.

How to calculate Diameter of Piston for Pressure Drop over Length using this online calculator? To use this online calculator for Diameter of Piston for Pressure Drop over Length, enter Pressure Drop due to Friction (ΔPf), Dynamic Viscosity (μ_viscosity), Velocity of Piston (v_piston), Piston Length (L_P) & Radial Clearance (C_R) and hit the calculate button. Here is how the Diameter of Piston for Pressure Drop over Length calculation can be explained with given input values -> 4.367647 = (33/(6*1.02*0.045*5/(0.45^3)))*2.

FAQ

What is Diameter of Piston for Pressure Drop over Length?

The Diameter of Piston for Pressure Drop over Length is defined as the width of tank or piston used for study and is represented as D = (ΔPf/(6*μ_viscosity*v_piston*L_P/(C_R^3)))*2 or Diameter of Piston = (Pressure Drop due to Friction/(6*Dynamic Viscosity*Velocity of Piston*Piston Length/(Radial Clearance^3)))*2. 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, 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.

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

The Diameter of Piston for Pressure Drop over Length is defined as the width of tank or piston used for study is calculated using Diameter of Piston = (Pressure Drop due to Friction/(6*Dynamic Viscosity*Velocity of Piston*Piston Length/(Radial Clearance^3)))*2. To calculate Diameter of Piston for Pressure Drop over Length, you need Pressure Drop due to Friction (ΔPf), Dynamic Viscosity (μ_viscosity), Velocity of Piston (v_piston), Piston Length (L_P) & Radial Clearance (C_R). With our tool, you need to enter the respective value for Pressure Drop due to Friction, Dynamic Viscosity, Velocity of Piston, Piston Length & 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 Diameter of Piston?

In this formula, Diameter of Piston uses Pressure Drop due to Friction, Dynamic Viscosity, Velocity of Piston, Piston Length & Radial Clearance. We can use 1 other way(s) to calculate the same, which is/are as follows -

Diameter of Piston = Shear Stress/(1.5*Dynamic Viscosity*Velocity of Piston/(Hydraulic Clearance*Hydraulic Clearance))

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