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Diameter of Piston given Shear Stress Calculator

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When Piston Velocity is Negligible to Average Velocity of Oil in Clearance Space Dynamic Viscosity Velocity of Piston

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When Shear Force is Negligible

✖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%
✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity [μ]			+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%
✖Hydraulic Clearance is the gap or space between two surfaces adjacent to each other.ⓘ Hydraulic Clearance [C_H]			+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 given Shear Stress [D]

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Diameter of Piston given Shear Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Piston = Shear Stress/(1.5*Dynamic Viscosity*Velocity of Piston/(Hydraulic Clearance*Hydraulic Clearance))
D = 𝜏/(1.5*μ*v_piston/(C_H*C_H))
This formula uses 5 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.
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.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a 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.
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
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
Hydraulic Clearance: 50 Millimeter --> 0.05 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = 𝜏/(1.5*μ*v_piston/(C_H*C_H)) --> 93.1/(1.5*1.02*0.045/(0.05*0.05))

Evaluating ... ...

D = 3.38053740014524

STEP 3: Convert Result to Output's Unit

3.38053740014524 Meter --> No Conversion Required

FINAL ANSWER

3.38053740014524 ≈ 3.380537 Meter <-- Diameter of Piston

(Calculation completed in 00.004 seconds)

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

Pressure Gradient given Velocity of Fluid

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

Velocity of Fluid

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

Pressure Drop over Lengths of Piston

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

Dynamic Viscosity given Velocity of Fluid

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

Diameter of Piston given Shear Stress Formula

LaTeX Go

Diameter of Piston = Shear Stress/(1.5*Dynamic Viscosity*Velocity of Piston/(Hydraulic Clearance*Hydraulic Clearance))
D = 𝜏/(1.5*μ*v_piston/(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 Diameter of Piston given Shear Stress?

Diameter of Piston given Shear Stress calculator uses Diameter of Piston = Shear Stress/(1.5*Dynamic Viscosity*Velocity of Piston/(Hydraulic Clearance*Hydraulic Clearance)) to calculate the Diameter of Piston, The Diameter of Piston given Shear Stress is defined as the width of section tank or piston used in experimental study. Diameter of Piston is denoted by D symbol.

How to calculate Diameter of Piston given Shear Stress using this online calculator? To use this online calculator for Diameter of Piston given Shear Stress, enter Shear Stress (𝜏), Dynamic Viscosity (μ), Velocity of Piston (v_piston) & Hydraulic Clearance (C_H) and hit the calculate button. Here is how the Diameter of Piston given Shear Stress calculation can be explained with given input values -> 3.380537 = 93.1/(1.5*1.02*0.045/(0.05*0.05)).

FAQ

What is Diameter of Piston given Shear Stress?

The Diameter of Piston given Shear Stress is defined as the width of section tank or piston used in experimental study and is represented as D = 𝜏/(1.5*μ*v_piston/(C_H*C_H)) or Diameter of Piston = Shear Stress/(1.5*Dynamic Viscosity*Velocity of Piston/(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, The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a 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 & Hydraulic Clearance is the gap or space between two surfaces adjacent to each other.

How to calculate Diameter of Piston given Shear Stress?

The Diameter of Piston given Shear Stress is defined as the width of section tank or piston used in experimental study is calculated using Diameter of Piston = Shear Stress/(1.5*Dynamic Viscosity*Velocity of Piston/(Hydraulic Clearance*Hydraulic Clearance)). To calculate Diameter of Piston given Shear Stress, you need Shear Stress (𝜏), Dynamic Viscosity (μ), Velocity of Piston (v_piston) & Hydraulic Clearance (C_H). With our tool, you need to enter the respective value for Shear Stress, Dynamic Viscosity, Velocity of Piston & 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 Diameter of Piston?

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

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

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