Clearance given Shear Stress Calculator

✖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%
✖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%
✖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%

✖Hydraulic Clearance is the gap or space between two surfaces adjacent to each other.ⓘ Clearance given Shear Stress [C_H]

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Formula

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Clearance given Shear Stress

Formula

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

Example

`"50.87579mm"=sqrt(1.5*"3.5m"*"10.2P"*"0.045m/s"/"93.1Pa")`

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Clearance given Shear Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hydraulic Clearance = sqrt(1.5*Diameter of Piston*Dynamic Viscosity*Velocity of Piston/Shear Stress)
C_H = sqrt(1.5*D*μ_viscosity*v_piston/𝜏)
This formula uses 1 Functions, 5 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Hydraulic Clearance - (Measured in Meter) - Hydraulic Clearance is the gap or space 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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Diameter of Piston: 3.5 Meter --> 3.5 Meter 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
Shear Stress: 93.1 Pascal --> 93.1 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_H = sqrt(1.5*D*μ_viscosity*v_piston/𝜏) --> sqrt(1.5*3.5*1.02*0.045/93.1)

Evaluating ... ...

C_H = 0.0508757885900716

STEP 3: Convert Result to Output's Unit

0.0508757885900716 Meter -->50.8757885900716 Millimeter (Check conversion here)

FINAL ANSWER

50.8757885900716 ≈ 50.87579 Millimeter <-- Hydraulic Clearance

(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 » Clearance 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)

Clearance given Shear Stress Formula

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

What is Clearance?

The gap or lack of it between the hole and shaft is called the clearance. Clearance is determined by the size difference between the parts. Fits and tolerances are used to specify the size range of parts.

How to Calculate Clearance given Shear Stress?

Clearance given Shear Stress calculator uses Hydraulic Clearance = sqrt(1.5*Diameter of Piston*Dynamic Viscosity*Velocity of Piston/Shear Stress) to calculate the Hydraulic Clearance, The Clearance given Shear Stress is defined as the distance or gap present between piston and tank boundary for motion. Hydraulic Clearance is denoted by C_H symbol.

How to calculate Clearance given Shear Stress using this online calculator? To use this online calculator for Clearance given Shear Stress, enter Diameter of Piston (D), Dynamic Viscosity (μ_viscosity), Velocity of Piston (v_piston) & Shear Stress (𝜏) and hit the calculate button. Here is how the Clearance given Shear Stress calculation can be explained with given input values -> 50875.79 = sqrt(1.5*3.5*1.02*0.045/93.1).

FAQ

What is Clearance given Shear Stress?

The Clearance given Shear Stress is defined as the distance or gap present between piston and tank boundary for motion and is represented as C_H = sqrt(1.5*D*μ_viscosity*v_piston/𝜏) or Hydraulic Clearance = sqrt(1.5*Diameter of Piston*Dynamic Viscosity*Velocity of Piston/Shear 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, 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 is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.

How to calculate Clearance given Shear Stress?

The Clearance given Shear Stress is defined as the distance or gap present between piston and tank boundary for motion is calculated using Hydraulic Clearance = sqrt(1.5*Diameter of Piston*Dynamic Viscosity*Velocity of Piston/Shear Stress). To calculate Clearance given Shear Stress, you need Diameter of Piston (D), Dynamic Viscosity (μ_viscosity), Velocity of Piston (v_piston) & Shear Stress (𝜏). With our tool, you need to enter the respective value for Diameter of Piston, Dynamic Viscosity, Velocity of Piston & Shear Stress and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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