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*μviscosity*vpiston/(CH*CH))
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 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.
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*μviscosity*vpiston/(CH*CH)) --> 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)

Credits

Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
Rithik Agrawal has created this Calculator and 1300+ more calculators!
Verified by M Naveen
National Institute of Technology (NIT), Warangal
M Naveen has verified this Calculator and 900+ more calculators!

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 given Shear Stress Formula

Diameter of Piston = Shear Stress/(1.5*Dynamic Viscosity*Velocity of Piston/(Hydraulic Clearance*Hydraulic Clearance))
D = 𝜏/(1.5*μviscosity*vpiston/(CH*CH))

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 viscosity), Velocity of Piston (vpiston) & Hydraulic Clearance (CH) 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*μviscosity*vpiston/(CH*CH)) 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 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 & 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 viscosity), Velocity of Piston (vpiston) & Hydraulic Clearance (CH). 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
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!