Pressure Drop over Length of Piston given Vertical Upward Force on Piston Solution

STEP 0: Pre-Calculation Summary
Formula Used
Pressure Drop due to Friction = Vertical Component of Force/(0.25*pi*Diameter of Piston*Diameter of Piston)
ΔPf = Fv/(0.25*pi*D*D)
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
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.
Vertical Component of Force - (Measured in Newton) - Vertical component of force is the resolved force acting along the vertical direction.
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
Vertical Component of Force: 320 Newton --> 320 Newton No Conversion Required
Diameter of Piston: 3.5 Meter --> 3.5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ΔPf = Fv/(0.25*pi*D*D) --> 320/(0.25*pi*3.5*3.5)
Evaluating ... ...
ΔPf = 33.260135046143
STEP 3: Convert Result to Output's Unit
33.260135046143 Pascal --> No Conversion Required
FINAL ANSWER
33.260135046143 33.26014 Pascal <-- Pressure Drop due to Friction
(Calculation completed in 00.004 seconds)

Credits

Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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Meerut Institute of Engineering and Technology (MIET), Meerut
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Velocity of Flow in Oil Tank
Go Fluid Velocity in Oil Tank = (Pressure Gradient*0.5*(Horizontal Distance*Horizontal Distance-Hydraulic Clearance*Horizontal Distance)/Dynamic Viscosity)-(Velocity of Piston*Horizontal Distance/Hydraulic Clearance)
Pressure Gradient given Velocity of Flow in Oil Tank
Go Pressure Gradient = (Dynamic Viscosity*2*(Fluid Velocity in Oil Tank-(Velocity of Piston*Horizontal Distance/Hydraulic Clearance)))/(Horizontal Distance*Horizontal Distance-Hydraulic Clearance*Horizontal Distance)
Length of Piston for Vertical Upward Force on Piston
Go Piston Length = Vertical Component of Force/(Velocity of Piston*pi*Dynamic Viscosity*(0.75*((Diameter of Piston/Radial Clearance)^3)+1.5*((Diameter of Piston/Radial Clearance)^2)))
Vertical Upward Force on Piston given Piston Velocity
Go Vertical Component of Force = Piston Length*pi*Dynamic Viscosity*Velocity of Piston*(0.75*((Diameter of Piston/Radial Clearance)^3)+1.5*((Diameter of Piston/Radial Clearance)^2))
Length of Piston for Shear Force Resisting Motion of Piston
Go Piston Length = Shear Force/(pi*Dynamic Viscosity*Velocity of Piston*(1.5*(Diameter of Piston/Radial Clearance)^2+4*(Diameter of Piston/Radial Clearance)))
Shear Force Resisting Motion of Piston
Go Shear Force = pi*Piston Length*Dynamic Viscosity*Velocity of Piston*(1.5*(Diameter of Piston/Radial Clearance)^2+4*(Diameter of Piston/Radial Clearance))
Pressure Gradient given Rate of Flow
Go Pressure Gradient = (12*Dynamic Viscosity/(Radial Clearance^3))*((Discharge in Laminar Flow/pi*Diameter of Piston)+Velocity of Piston*0.5*Radial Clearance)
Length of Piston for Pressure Drop over Piston
Go Piston Length = Pressure Drop due to Friction/((6*Dynamic Viscosity*Velocity of Piston/(Radial Clearance^3))*(0.5*Diameter of Piston+Radial Clearance))
Pressure Drop over Piston
Go Pressure Drop due to Friction = (6*Dynamic Viscosity*Velocity of Piston*Piston Length/(Radial Clearance^3))*(0.5*Diameter of Piston+Radial Clearance)
Pressure Drop over Length of Piston given Vertical Upward Force on Piston
Go Pressure Drop due to Friction = Vertical Component of Force/(0.25*pi*Diameter of Piston*Diameter of Piston)
Vertical Force given Total Force
Go Vertical Component of Force = Shear Force-Total Force in Piston
Total Forces
Go Total Force = Vertical Component of Force+Shear Force

Pressure Drop over Length of Piston given Vertical Upward Force on Piston Formula

Pressure Drop due to Friction = Vertical Component of Force/(0.25*pi*Diameter of Piston*Diameter of Piston)
ΔPf = Fv/(0.25*pi*D*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 Pressure Drop over Length of Piston given Vertical Upward Force on Piston?

Pressure Drop over Length of Piston given Vertical Upward Force on Piston calculator uses Pressure Drop due to Friction = Vertical Component of Force/(0.25*pi*Diameter of Piston*Diameter of Piston) to calculate the Pressure Drop due to Friction, The Pressure Drop over Length of Piston given Vertical Upward Force on Piston is defined as change in pressure with respect to length of piston. Pressure Drop due to Friction is denoted by ΔPf symbol.

How to calculate Pressure Drop over Length of Piston given Vertical Upward Force on Piston using this online calculator? To use this online calculator for Pressure Drop over Length of Piston given Vertical Upward Force on Piston, enter Vertical Component of Force (Fv) & Diameter of Piston (D) and hit the calculate button. Here is how the Pressure Drop over Length of Piston given Vertical Upward Force on Piston calculation can be explained with given input values -> 33.26014 = 320/(0.25*pi*3.5*3.5).

FAQ

What is Pressure Drop over Length of Piston given Vertical Upward Force on Piston?
The Pressure Drop over Length of Piston given Vertical Upward Force on Piston is defined as change in pressure with respect to length of piston and is represented as ΔPf = Fv/(0.25*pi*D*D) or Pressure Drop due to Friction = Vertical Component of Force/(0.25*pi*Diameter of Piston*Diameter of Piston). Vertical component of force is the resolved force acting along the vertical direction & 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 Pressure Drop over Length of Piston given Vertical Upward Force on Piston?
The Pressure Drop over Length of Piston given Vertical Upward Force on Piston is defined as change in pressure with respect to length of piston is calculated using Pressure Drop due to Friction = Vertical Component of Force/(0.25*pi*Diameter of Piston*Diameter of Piston). To calculate Pressure Drop over Length of Piston given Vertical Upward Force on Piston, you need Vertical Component of Force (Fv) & Diameter of Piston (D). With our tool, you need to enter the respective value for Vertical Component of Force & Diameter of Piston 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 Pressure Drop due to Friction?
In this formula, Pressure Drop due to Friction uses Vertical Component of Force & Diameter of Piston. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Pressure Drop due to Friction = (6*Dynamic Viscosity*Velocity of Piston*Piston Length/(Radial Clearance^3))*(0.5*Diameter of Piston+Radial Clearance)
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