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

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

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Formula

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Velocity of Flow in Oil Tank

Formula

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

Example

`"12.75235m/s"=("60N/m³"*0.5*("0.7m"*"0.7m"-"50mm"*"0.7m")/"10.2P")-("0.045m/s"*"0.7m"/"50mm")`

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Velocity of Flow in Oil Tank 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)-(Velocity of Piston*Horizontal Distance/Hydraulic Clearance)
u_Oiltank = (dp|dr*0.5*(R*R-C_H*R)/μ_viscosity)-(v_piston*R/C_H)
This formula uses 6 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.
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.

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)
Velocity of Piston: 0.045 Meter per Second --> 0.045 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

u_Oiltank = (dp|dr*0.5*(R*R-C_H*R)/μ_viscosity)-(v_piston*R/C_H) --> (60*0.5*(0.7*0.7-0.05*0.7)/1.02)-(0.045*0.7/0.05)

Evaluating ... ...

u_Oiltank = 12.7523529411765

STEP 3: Convert Result to Output's Unit

12.7523529411765 Meter per Second --> No Conversion Required

FINAL ANSWER

12.7523529411765 ≈ 12.75235 Meter per Second <-- Fluid Velocity in Oil Tank

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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NSS College of Engineering (NSSCE), Palakkad

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< 12 Dash-Pot Mechanism Calculators

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)

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)

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

Velocity of Flow in Oil Tank Formula

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 Flow in Oil Tank?

Velocity of Flow in Oil Tank calculator uses 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) to calculate the Fluid Velocity in Oil Tank, The Velocity of Flow in Oil Tank is defined as 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 Flow in Oil Tank using this online calculator? To use this online calculator for Velocity of Flow in Oil Tank, enter Pressure Gradient (dp|dr), Horizontal Distance (R), Hydraulic Clearance (C_H), Dynamic Viscosity (μ_viscosity) & Velocity of Piston (v_piston) and hit the calculate button. Here is how the Velocity of Flow in Oil Tank calculation can be explained with given input values -> 12.75235 = (60*0.5*(0.7*0.7-0.05*0.7)/1.02)-(0.045*0.7/0.05).

FAQ

What is Velocity of Flow in Oil Tank?

The Velocity of Flow in Oil Tank is defined as 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)-(v_piston*R/C_H) or 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 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 & Velocity of piston in reciprocating pump is defined as the product of sin of angular velocity and time, radius of crank and angular velocity.

How to calculate Velocity of Flow in Oil Tank?

The Velocity of Flow in Oil Tank is defined as 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)-(Velocity of Piston*Horizontal Distance/Hydraulic Clearance). To calculate Velocity of Flow in Oil Tank, you need Pressure Gradient (dp|dr), Horizontal Distance (R), Hydraulic Clearance (C_H), Dynamic Viscosity (μ_viscosity) & Velocity of Piston (v_piston). With our tool, you need to enter the respective value for Pressure Gradient, Horizontal Distance, Hydraulic Clearance, Dynamic Viscosity & Velocity 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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