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Velocity of piston in reciprocating pump is defined as the product of sin of angular velocity and time, radius of crank and angular velocity. Check FAQs
vpiston=((0.5dp|drRR-CHRμ)-uOiltank)(CHR)
vpiston - Velocity of Piston?dp|dr - Pressure Gradient?R - Horizontal Distance?CH - Hydraulic Clearance?μ - Dynamic Viscosity?uOiltank - Fluid Velocity in Oil Tank?

Velocity of Piston given Velocity of Flow in Oil Tank Example

With values
With units
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Here is how the Velocity of Piston given Velocity of Flow in Oil Tank equation looks like with Values.

Here is how the Velocity of Piston given Velocity of Flow in Oil Tank equation looks like with Units.

Here is how the Velocity of Piston given Velocity of Flow in Oil Tank equation looks like.

0.0987Edit=((0.560Edit0.7Edit0.7Edit-50Edit0.7Edit10.2Edit)-12Edit)(50Edit0.7Edit)
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Velocity of Piston given Velocity of Flow in Oil Tank Solution

Follow our step by step solution on how to calculate Velocity of Piston given Velocity of Flow in Oil Tank?

FIRST Step Consider the formula
vpiston=((0.5dp|drRR-CHRμ)-uOiltank)(CHR)
Next Step Substitute values of Variables
vpiston=((0.560N/m³0.7m0.7m-50mm0.7m10.2P)-12m/s)(50mm0.7m)
Next Step Convert Units
vpiston=((0.560N/m³0.7m0.7m-0.05m0.7m1.02Pa*s)-12m/s)(0.05m0.7m)
Next Step Prepare to Evaluate
vpiston=((0.5600.70.7-0.050.71.02)-12)(0.050.7)
Next Step Evaluate
vpiston=0.0987394957983192m/s
LAST Step Rounding Answer
vpiston=0.0987m/s

Velocity of Piston given Velocity of Flow in Oil Tank Formula Elements

Variables
Velocity of Piston
Velocity of piston in reciprocating pump is defined as the product of sin of angular velocity and time, radius of crank and angular velocity.
Symbol: vpiston
Measurement: SpeedUnit: m/s
Note: Value can be positive or negative.
Pressure Gradient
Pressure Gradient is the change in pressure with respect to radial distance of element.
Symbol: dp|dr
Measurement: Pressure GradientUnit: N/m³
Note: Value can be positive or negative.
Horizontal Distance
Horizontal Distance denotes the instantaneous horizontal distance cover by an object in a projectile motion.
Symbol: R
Measurement: LengthUnit: m
Note: Value can be positive or negative.
Hydraulic Clearance
Hydraulic Clearance is the gap or space between two surfaces adjacent to each other.
Symbol: CH
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Dynamic Viscosity
The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.
Symbol: μ
Measurement: Dynamic ViscosityUnit: P
Note: Value should be greater than 0.
Fluid Velocity in Oil Tank
Fluid Velocity in Oil Tank is the volume of fluid flowing in the given vessel per unit cross sectional area.
Symbol: uOiltank
Measurement: SpeedUnit: m/s
Note: Value can be positive or negative.

Other Formulas to find Velocity of Piston

​Go Velocity of Pistons for Pressure Drop over Length of Piston
vpiston=ΔPf(6μLPCR3)(0.5D+CR)
​Go Velocity of Piston for Vertical Upward Force on Piston
vpiston=FvLPπμ(0.75((DCR)3)+1.5((DCR)2))
​Go Velocity of Piston for Shear Force Resisting Motion of Piston
vpiston=FsπμLP(1.5(DCR)2+4(DCR))

How to Evaluate Velocity of Piston given Velocity of Flow in Oil Tank?

Velocity of Piston given Velocity of Flow in Oil Tank evaluator uses Velocity of Piston = ((0.5*Pressure Gradient*(Horizontal Distance*Horizontal Distance-Hydraulic Clearance*Horizontal Distance)/Dynamic Viscosity)-Fluid Velocity in Oil Tank)*(Hydraulic Clearance/Horizontal Distance) to evaluate the Velocity of Piston, The Velocity of Piston given Velocity of Flow in Oil Tank is defined as the rate at which piston is going down with respect to vertical distance. Velocity of Piston is denoted by vpiston symbol.

How to evaluate Velocity of Piston given Velocity of Flow in Oil Tank using this online evaluator? To use this online evaluator for Velocity of Piston given Velocity of Flow in Oil Tank, enter Pressure Gradient (dp|dr), Horizontal Distance (R), Hydraulic Clearance (CH), Dynamic Viscosity (μ) & Fluid Velocity in Oil Tank (uOiltank) and hit the calculate button.

FAQs on Velocity of Piston given Velocity of Flow in Oil Tank

What is the formula to find Velocity of Piston given Velocity of Flow in Oil Tank?
The formula of Velocity of Piston given Velocity of Flow in Oil Tank is expressed as Velocity of Piston = ((0.5*Pressure Gradient*(Horizontal Distance*Horizontal Distance-Hydraulic Clearance*Horizontal Distance)/Dynamic Viscosity)-Fluid Velocity in Oil Tank)*(Hydraulic Clearance/Horizontal Distance). Here is an example- -20.472689 = ((0.5*60*(0.7*0.7-0.05*0.7)/1.02)-12)*(0.05/0.7).
How to calculate Velocity of Piston given Velocity of Flow in Oil Tank?
With Pressure Gradient (dp|dr), Horizontal Distance (R), Hydraulic Clearance (CH), Dynamic Viscosity (μ) & Fluid Velocity in Oil Tank (uOiltank) we can find Velocity of Piston given Velocity of Flow in Oil Tank using the formula - Velocity of Piston = ((0.5*Pressure Gradient*(Horizontal Distance*Horizontal Distance-Hydraulic Clearance*Horizontal Distance)/Dynamic Viscosity)-Fluid Velocity in Oil Tank)*(Hydraulic Clearance/Horizontal Distance).
What are the other ways to Calculate Velocity of Piston?
Here are the different ways to Calculate Velocity of Piston-
  • Velocity of Piston=Pressure Drop due to Friction/((6*Dynamic Viscosity*Piston Length/(Radial Clearance^3))*(0.5*Diameter of Piston+Radial Clearance))OpenImg
  • Velocity of Piston=Vertical Component of Force/(Piston Length*pi*Dynamic Viscosity*(0.75*((Diameter of Piston/Radial Clearance)^3)+1.5*((Diameter of Piston/Radial Clearance)^2)))OpenImg
  • Velocity of Piston=Shear Force/(pi*Dynamic Viscosity*Piston Length*(1.5*(Diameter of Piston/Radial Clearance)^2+4*(Diameter of Piston/Radial Clearance)))OpenImg
Can the Velocity of Piston given Velocity of Flow in Oil Tank be negative?
Yes, the Velocity of Piston given Velocity of Flow in Oil Tank, measured in Speed can be negative.
Which unit is used to measure Velocity of Piston given Velocity of Flow in Oil Tank?
Velocity of Piston given Velocity of Flow in Oil Tank is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Velocity of Piston given Velocity of Flow in Oil Tank can be measured.
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