Velocity of Piston given Velocity of Flow in Oil Tank Calculator

✖Pressure Gradient is the change in pressure with respect to radial distance of element.ⓘ Pressure Gradient [dp\|dr]			+10% -10%
✖Horizontal Distance denotes the instantaneous horizontal distance cover by an object in a projectile motion.ⓘ Horizontal Distance [R]			+10% -10%
✖Hydraulic Clearance is the gap or space between two surfaces adjacent to each other.ⓘ Hydraulic Clearance [C_H]			+10% -10%
✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity [μ]			+10% -10%
✖Fluid Velocity in Oil Tank is the volume of fluid flowing in the given vessel per unit cross sectional area.ⓘ Fluid Velocity in Oil Tank [u_Oiltank]			+10% -10%

✖Velocity of piston in reciprocating pump is defined as the product of sin of angular velocity and time, radius of crank and angular velocity.ⓘ Velocity of Piston given Velocity of Flow in Oil Tank [v_piston]

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Velocity of Piston given Velocity of Flow in Oil Tank Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
v_piston = ((0.5*dp|dr*(R*R-C_H*R)/μ)-u_Oiltank)*(C_H/R)
This formula uses 6 Variables

Variables Used

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.
Pressure Gradient - (Measured in Newton per Cubic Meter) - Pressure Gradient is the change in pressure with respect to radial distance of element.
Horizontal Distance - (Measured in Meter) - Horizontal Distance denotes the instantaneous horizontal distance cover by an object in a projectile motion.
Hydraulic Clearance - (Measured in Meter) - Hydraulic Clearance is the gap or space between two surfaces adjacent to each other.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.
Fluid Velocity in Oil Tank - (Measured in Meter per Second) - Fluid Velocity in Oil Tank is the volume of fluid flowing in the given vessel per unit cross sectional area.

STEP 1: Convert Input(s) to Base Unit

Pressure Gradient: 60 Newton per Cubic Meter --> 60 Newton per Cubic Meter No Conversion Required
Horizontal Distance: 0.7 Meter --> 0.7 Meter No Conversion Required
Hydraulic Clearance: 50 Millimeter --> 0.05 Meter (Check conversion here)
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Fluid Velocity in Oil Tank: 12 Meter per Second --> 12 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_piston = ((0.5*dp|dr*(R*R-C_H*R)/μ)-u_Oiltank)*(C_H/R) --> ((0.5*60*(0.7*0.7-0.05*0.7)/1.02)-12)*(0.05/0.7)

Evaluating ... ...

v_piston = 0.0987394957983192

STEP 3: Convert Result to Output's Unit

0.0987394957983192 Meter per Second --> No Conversion Required

FINAL ANSWER

0.0987394957983192 ≈ 0.098739 Meter per Second <-- Velocity of Piston

(Calculation completed in 00.008 seconds)

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< Velocity of Piston Calculators

Velocity of Piston given Velocity of Flow in Oil Tank

LaTeX Go 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)

Velocity of Piston for Vertical Upward Force on Piston

LaTeX Go 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)))

Velocity of Piston for Shear Force Resisting Motion of Piston

LaTeX Go Velocity of Piston = Shear Force/(pi*Dynamic Viscosity*Piston Length*(1.5*(Diameter of Piston/Radial Clearance)^2+4*(Diameter of Piston/Radial Clearance)))

Velocity of Pistons for Pressure Drop over Length of Piston

LaTeX Go Velocity of Piston = Pressure Drop due to Friction/((6*Dynamic Viscosity*Piston Length/(Radial Clearance^3))*(0.5*Diameter of Piston+Radial Clearance))

Velocity of Piston given Velocity of Flow in Oil Tank Formula

LaTeX Go

What is Pressure Gradient?

Pressure gradient is a physical quantity that describes in which direction and at what rate the pressure increases the most rapidly around a particular location. The pressure gradient is a dimensional quantity expressed in units of pascals per metre.

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

Velocity of Piston given Velocity of Flow in Oil Tank calculator 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 calculate 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 v_piston symbol.

How to calculate Velocity of Piston given Velocity of Flow in Oil Tank using this online calculator? To use this online calculator for Velocity of Piston given Velocity of Flow in Oil Tank, enter Pressure Gradient (dp|dr), Horizontal Distance (R), Hydraulic Clearance (C_H), Dynamic Viscosity (μ) & Fluid Velocity in Oil Tank (u_Oiltank) and hit the calculate button. Here is how the Velocity of Piston given Velocity of Flow in Oil Tank calculation can be explained with given input values -> -20.472689 = ((0.5*60*(0.7*0.7-0.05*0.7)/1.02)-12)*(0.05/0.7).

FAQ

What is Velocity of Piston given Velocity of Flow in Oil Tank?

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 and is represented as v_piston = ((0.5*dp|dr*(R*R-C_H*R)/μ)-u_Oiltank)*(C_H/R) or 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). Pressure Gradient is the change in pressure with respect to radial distance of element, Horizontal Distance denotes the instantaneous horizontal distance cover by an object in a projectile motion, Hydraulic Clearance is the gap or space between two surfaces adjacent to each other, The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied & Fluid Velocity in Oil Tank is the volume of fluid flowing in the given vessel per unit cross sectional area.

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

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 is calculated using 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 calculate Velocity of Piston given Velocity of Flow in Oil Tank, you need Pressure Gradient (dp|dr), Horizontal Distance (R), Hydraulic Clearance (C_H), Dynamic Viscosity (μ) & Fluid Velocity in Oil Tank (u_Oiltank). With our tool, you need to enter the respective value for Pressure Gradient, Horizontal Distance, Hydraulic Clearance, Dynamic Viscosity & Fluid Velocity in Oil Tank 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 Velocity of Piston?

In this formula, Velocity of Piston uses Pressure Gradient, Horizontal Distance, Hydraulic Clearance, Dynamic Viscosity & Fluid Velocity in Oil Tank. We can use 3 other way(s) to calculate the same, which is/are as follows -

Velocity of Piston = Pressure Drop due to Friction/((6*Dynamic Viscosity*Piston Length/(Radial Clearance^3))*(0.5*Diameter of Piston+Radial Clearance))
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)))
Velocity of Piston = Shear Force/(pi*Dynamic Viscosity*Piston Length*(1.5*(Diameter of Piston/Radial Clearance)^2+4*(Diameter of Piston/Radial Clearance)))

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