Length of Piston for Pressure Reduction over Length of Piston Solution

STEP 0: Pre-Calculation Summary
Formula Used
Piston Length = Pressure Drop due to Friction/((6*Dynamic Viscosity*Velocity of Piston/(Radial Clearance^3))*(0.5*Diameter of Piston))
LP = ΔPf/((6*μviscosity*vpiston/(CR^3))*(0.5*D))
This formula uses 6 Variables
Variables Used
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Pressure Drop due to Friction: 33 Pascal --> 33 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
Radial Clearance: 0.45 Meter --> 0.45 Meter No Conversion Required
Diameter of Piston: 3.5 Meter --> 3.5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
LP = ΔPf/((6*μviscosity*vpiston/(CR^3))*(0.5*D)) --> 33/((6*1.02*0.045/(0.45^3))*(0.5*3.5))
Evaluating ... ...
LP = 6.23949579831933
STEP 3: Convert Result to Output's Unit
6.23949579831933 Meter --> No Conversion Required
FINAL ANSWER
6.23949579831933 6.239496 Meter <-- Piston Length
(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 Suraj Kumar
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)

Length of Piston for Pressure Reduction over Length of Piston Formula

Piston Length = Pressure Drop due to Friction/((6*Dynamic Viscosity*Velocity of Piston/(Radial Clearance^3))*(0.5*Diameter of Piston))
LP = ΔPf/((6*μviscosity*vpiston/(CR^3))*(0.5*D))

What is Pressure drop?

Pressure drop is defined as the difference in total pressure between two points of a fluid carrying network. A pressure drop occurs when frictional forces, caused by the resistance to flow, act on a fluid as it flows through the tube.

How to Calculate Length of Piston for Pressure Reduction over Length of Piston?

Length of Piston for Pressure Reduction over Length of Piston calculator uses Piston Length = Pressure Drop due to Friction/((6*Dynamic Viscosity*Velocity of Piston/(Radial Clearance^3))*(0.5*Diameter of Piston)) to calculate the Piston Length, The Length of Piston for Pressure Reduction over Length of Piston is defined as total length of flow in tank due to piston motion. Piston Length is denoted by LP symbol.

How to calculate Length of Piston for Pressure Reduction over Length of Piston using this online calculator? To use this online calculator for Length of Piston for Pressure Reduction over Length of Piston, enter Pressure Drop due to Friction (ΔPf), Dynamic Viscosity viscosity), Velocity of Piston (vpiston), Radial Clearance (CR) & Diameter of Piston (D) and hit the calculate button. Here is how the Length of Piston for Pressure Reduction over Length of Piston calculation can be explained with given input values -> 6.239496 = 33/((6*1.02*0.045/(0.45^3))*(0.5*3.5)).

FAQ

What is Length of Piston for Pressure Reduction over Length of Piston?
The Length of Piston for Pressure Reduction over Length of Piston is defined as total length of flow in tank due to piston motion and is represented as LP = ΔPf/((6*μviscosity*vpiston/(CR^3))*(0.5*D)) or Piston Length = Pressure Drop due to Friction/((6*Dynamic Viscosity*Velocity of Piston/(Radial Clearance^3))*(0.5*Diameter of Piston)). Pressure Drop due to Friction is the decrease in the value of the pressure due to the influence of friction, 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, Radial Clearance or gap is the distance between two surfaces adjacent to each other & 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.
How to calculate Length of Piston for Pressure Reduction over Length of Piston?
The Length of Piston for Pressure Reduction over Length of Piston is defined as total length of flow in tank due to piston motion is calculated using Piston Length = Pressure Drop due to Friction/((6*Dynamic Viscosity*Velocity of Piston/(Radial Clearance^3))*(0.5*Diameter of Piston)). To calculate Length of Piston for Pressure Reduction over Length of Piston, you need Pressure Drop due to Friction (ΔPf), Dynamic Viscosity viscosity), Velocity of Piston (vpiston), Radial Clearance (CR) & Diameter of Piston (D). With our tool, you need to enter the respective value for Pressure Drop due to Friction, Dynamic Viscosity, Velocity of Piston, Radial Clearance & Diameter of Piston 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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