Velocity of Piston given Shear Stress Calculator

✖Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear Stress [𝜏]			+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%
✖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%
✖Hydraulic Clearance is the gap or space between two surfaces adjacent to each other.ⓘ Hydraulic Clearance [C_H]			+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 given Shear Stress [v_piston]

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Formula

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Velocity of Piston given Shear Stress

Formula

`"v"_{"piston"} = "𝜏"/(1.5*"D"*"μ"_{"viscosity"}/("C"_{"H"}*"C"_{"H"}))`

Example

`"0.043464m/s"="93.1Pa"/(1.5*"3.5m"*"10.2P"/("50mm"*"50mm"))`

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Velocity of Piston given Shear Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity of Piston = Shear Stress/(1.5*Diameter of Piston*Dynamic Viscosity/(Hydraulic Clearance*Hydraulic Clearance))
v_piston = 𝜏/(1.5*D*μ_viscosity/(C_H*C_H))
This formula uses 5 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.
Shear Stress - (Measured in Pascal) - Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
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.
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.
Hydraulic Clearance - (Measured in Meter) - Hydraulic Clearance is the gap or space between two surfaces adjacent to each other.

STEP 1: Convert Input(s) to Base Unit

Shear Stress: 93.1 Pascal --> 93.1 Pascal No Conversion Required
Diameter of Piston: 3.5 Meter --> 3.5 Meter No Conversion Required
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Hydraulic Clearance: 50 Millimeter --> 0.05 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_piston = 𝜏/(1.5*D*μ_viscosity/(C_H*C_H)) --> 93.1/(1.5*3.5*1.02/(0.05*0.05))

Evaluating ... ...

v_piston = 0.0434640522875817

STEP 3: Convert Result to Output's Unit

0.0434640522875817 Meter per Second --> No Conversion Required

FINAL ANSWER

0.0434640522875817 ≈ 0.043464 Meter per Second <-- Velocity of Piston

(Calculation completed in 00.020 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 » Velocity of Piston given Shear Stress

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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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)

Velocity of Piston given Shear Stress Formula

Velocity of Piston = Shear Stress/(1.5*Diameter of Piston*Dynamic Viscosity/(Hydraulic Clearance*Hydraulic Clearance))
v_piston = 𝜏/(1.5*D*μ_viscosity/(C_H*C_H))

What is Shear Stress?

Shear stress, often denoted by τ, is the component of stress coplanar with a material cross section. It arises from the shear force, the component of force vector parallel to the material cross section.

How to Calculate Velocity of Piston given Shear Stress?

Velocity of Piston given Shear Stress calculator uses Velocity of Piston = Shear Stress/(1.5*Diameter of Piston*Dynamic Viscosity/(Hydraulic Clearance*Hydraulic Clearance)) to calculate the Velocity of Piston, The Velocity of Piston given Shear Stress is defined as the average velocity in tank due to movement of piston. Velocity of Piston is denoted by v_piston symbol.

How to calculate Velocity of Piston given Shear Stress using this online calculator? To use this online calculator for Velocity of Piston given Shear Stress, enter Shear Stress (𝜏), Diameter of Piston (D), Dynamic Viscosity (μ_viscosity) & Hydraulic Clearance (C_H) and hit the calculate button. Here is how the Velocity of Piston given Shear Stress calculation can be explained with given input values -> 0.043464 = 93.1/(1.5*3.5*1.02/(0.05*0.05)).

FAQ

What is Velocity of Piston given Shear Stress?

The Velocity of Piston given Shear Stress is defined as the average velocity in tank due to movement of piston and is represented as v_piston = 𝜏/(1.5*D*μ_viscosity/(C_H*C_H)) or Velocity of Piston = Shear Stress/(1.5*Diameter of Piston*Dynamic Viscosity/(Hydraulic Clearance*Hydraulic Clearance)). Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress, 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, The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied & Hydraulic Clearance is the gap or space between two surfaces adjacent to each other.

How to calculate Velocity of Piston given Shear Stress?

The Velocity of Piston given Shear Stress is defined as the average velocity in tank due to movement of piston is calculated using Velocity of Piston = Shear Stress/(1.5*Diameter of Piston*Dynamic Viscosity/(Hydraulic Clearance*Hydraulic Clearance)). To calculate Velocity of Piston given Shear Stress, you need Shear Stress (𝜏), Diameter of Piston (D), Dynamic Viscosity (μ_viscosity) & Hydraulic Clearance (C_H). With our tool, you need to enter the respective value for Shear Stress, Diameter of Piston, Dynamic Viscosity & Hydraulic 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 Velocity of Piston?

In this formula, Velocity of Piston uses Shear Stress, Diameter of Piston, Dynamic Viscosity & Hydraulic Clearance. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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