Clearance given Pressure Drop over Length of Piston Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radial Clearance = (3*Diameter of Piston*Dynamic Viscosity*Velocity of Piston*Piston Length/Pressure Drop due to Friction)^(1/3)
CR = (3*D*μviscosity*vpiston*LP/ΔPf)^(1/3)
This formula uses 6 Variables
Variables Used
Radial Clearance - (Measured in Meter) - Radial Clearance or gap is the distance 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.
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.
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.
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
Piston Length: 5 Meter --> 5 Meter No Conversion Required
Pressure Drop due to Friction: 33 Pascal --> 33 Pascal No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
CR = (3*D*μviscosity*vpiston*LP/ΔPf)^(1/3) --> (3*3.5*1.02*0.045*5/33)^(1/3)
Evaluating ... ...
CR = 0.417977287275628
STEP 3: Convert Result to Output's Unit
0.417977287275628 Meter --> No Conversion Required
FINAL ANSWER
0.417977287275628 0.417977 Meter <-- Radial Clearance
(Calculation completed in 00.004 seconds)

Credits

Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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Birsa Institute of Technology (BIT), Sindri
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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 Pressure Drop over Length of Piston Formula

Radial Clearance = (3*Diameter of Piston*Dynamic Viscosity*Velocity of Piston*Piston Length/Pressure Drop due to Friction)^(1/3)
CR = (3*D*μviscosity*vpiston*LP/ΔPf)^(1/3)

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 Pressure Drop over Length of Piston?

Clearance given Pressure Drop over Length of Piston calculator uses Radial Clearance = (3*Diameter of Piston*Dynamic Viscosity*Velocity of Piston*Piston Length/Pressure Drop due to Friction)^(1/3) to calculate the Radial Clearance, The Clearance given Pressure Drop over Length of Piston formula is defined as the amount of space at end of piston for movement in tank. Radial Clearance is denoted by CR symbol.

How to calculate Clearance given Pressure Drop over Length of Piston using this online calculator? To use this online calculator for Clearance given Pressure Drop over Length of Piston, enter Diameter of Piston (D), Dynamic Viscosity viscosity), Velocity of Piston (vpiston), Piston Length (LP) & Pressure Drop due to Friction (ΔPf) and hit the calculate button. Here is how the Clearance given Pressure Drop over Length of Piston calculation can be explained with given input values -> 0.417977 = (3*3.5*1.02*0.045*5/33)^(1/3).

FAQ

What is Clearance given Pressure Drop over Length of Piston?
The Clearance given Pressure Drop over Length of Piston formula is defined as the amount of space at end of piston for movement in tank and is represented as CR = (3*D*μviscosity*vpiston*LP/ΔPf)^(1/3) or Radial Clearance = (3*Diameter of Piston*Dynamic Viscosity*Velocity of Piston*Piston Length/Pressure Drop due to Friction)^(1/3). 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, Piston Length is how far the piston travels in the cylinder, which is determined by the cranks on the crankshaft. length & Pressure Drop due to Friction is the decrease in the value of the pressure due to the influence of friction.
How to calculate Clearance given Pressure Drop over Length of Piston?
The Clearance given Pressure Drop over Length of Piston formula is defined as the amount of space at end of piston for movement in tank is calculated using Radial Clearance = (3*Diameter of Piston*Dynamic Viscosity*Velocity of Piston*Piston Length/Pressure Drop due to Friction)^(1/3). To calculate Clearance given Pressure Drop over Length of Piston, you need Diameter of Piston (D), Dynamic Viscosity viscosity), Velocity of Piston (vpiston), Piston Length (LP) & Pressure Drop due to Friction (ΔPf). With our tool, you need to enter the respective value for Diameter of Piston, Dynamic Viscosity, Velocity of Piston, Piston Length & Pressure Drop due to Friction 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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