Velocity of Fluid 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 of a fluid is the measure of its resistance to flow when an external force is applied.ⓘ Dynamic Viscosity [μ_viscosity]			+10% -10%

✖Fluid Velocity in Oil Tank is the volume of fluid flowing in the given vessel per unit cross sectional area.ⓘ Velocity of Fluid [u_Oiltank]

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Formula

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Velocity of Fluid

Formula

`"u"_{"Oiltank"} = "dp|dr"*0.5*("R"*"R"-"C"_{"H"}*"R")/"μ"_{"viscosity"}`

Example

`"13.38235m/s"="60N/m³"*0.5*("0.7m"*"0.7m"-"50mm"*"0.7m")/"10.2P"`

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Velocity of Fluid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Fluid Velocity in Oil Tank = Pressure Gradient*0.5*(Horizontal Distance*Horizontal Distance-Hydraulic Clearance*Horizontal Distance)/Dynamic Viscosity
u_Oiltank = dp|dr*0.5*(R*R-C_H*R)/μ_viscosity
This formula uses 5 Variables

Variables Used

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.
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 of a fluid is the measure of its resistance to flow when an external force is applied.

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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

u_Oiltank = 13.3823529411765

STEP 3: Convert Result to Output's Unit

13.3823529411765 Meter per Second --> No Conversion Required

FINAL ANSWER

13.3823529411765 ≈ 13.38235 Meter per Second <-- Fluid Velocity in Oil Tank

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Laminar Flow » Dash-Pot Mechanism » When Piston Velocity is Negligible to Average Velocity of Oil in Clearance Space » Velocity of Fluid

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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)

Velocity of Fluid Formula

Fluid Velocity in Oil Tank = Pressure Gradient*0.5*(Horizontal Distance*Horizontal Distance-Hydraulic Clearance*Horizontal Distance)/Dynamic Viscosity
u_Oiltank = dp|dr*0.5*(R*R-C_H*R)/μ_viscosity

What is Piston?

A piston is a component of reciprocating engines, reciprocating pumps, gas compressors, hydraulic cylinders and pneumatic cylinders, among other similar mechanisms. It is the moving component that is contained by a cylinder and is made gas-tight by piston rings.

How to Calculate Velocity of Fluid?

Velocity of Fluid calculator uses Fluid Velocity in Oil Tank = Pressure Gradient*0.5*(Horizontal Distance*Horizontal Distance-Hydraulic Clearance*Horizontal Distance)/Dynamic Viscosity to calculate the Fluid Velocity in Oil Tank, The Velocity of Fluid is defined as the speed at which fluid or oil in the tank is moving due to application of Piston force. Fluid Velocity in Oil Tank is denoted by u_Oiltank symbol.

How to calculate Velocity of Fluid using this online calculator? To use this online calculator for Velocity of Fluid, enter Pressure Gradient (dp|dr), Horizontal Distance (R), Hydraulic Clearance (C_H) & Dynamic Viscosity (μ_viscosity) and hit the calculate button. Here is how the Velocity of Fluid calculation can be explained with given input values -> 13.38235 = 60*0.5*(0.7*0.7-0.05*0.7)/1.02.

FAQ

What is Velocity of Fluid?

The Velocity of Fluid is defined as the speed at which fluid or oil in the tank is moving due to application of Piston force and is represented as u_Oiltank = dp|dr*0.5*(R*R-C_H*R)/μ_viscosity or Fluid Velocity in Oil Tank = Pressure Gradient*0.5*(Horizontal Distance*Horizontal Distance-Hydraulic Clearance*Horizontal Distance)/Dynamic Viscosity. 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 of a fluid is the measure of its resistance to flow when an external force is applied.

How to calculate Velocity of Fluid?

The Velocity of Fluid is defined as the speed at which fluid or oil in the tank is moving due to application of Piston force is calculated using Fluid Velocity in Oil Tank = Pressure Gradient*0.5*(Horizontal Distance*Horizontal Distance-Hydraulic Clearance*Horizontal Distance)/Dynamic Viscosity. To calculate Velocity of Fluid, you need Pressure Gradient (dp|dr), Horizontal Distance (R), Hydraulic Clearance (C_H) & Dynamic Viscosity (μ_viscosity). With our tool, you need to enter the respective value for Pressure Gradient, Horizontal Distance, Hydraulic Clearance & Dynamic Viscosity 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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