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)
uOiltank = (dp|dr*0.5*(R*R-CH*R)/μ)-(vpiston*R/CH)
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 refers to the internal resistance of a fluid to flow when a 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
uOiltank = (dp|dr*0.5*(R*R-CH*R)/μ)-(vpiston*R/CH) --> (60*0.5*(0.7*0.7-0.05*0.7)/1.02)-(0.045*0.7/0.05)
Evaluating ... ...
uOiltank = 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 00.006 seconds)

Credits

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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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Dash Pot Mechanism Calculators

Pressure Gradient given Velocity of Flow in Oil Tank
​ LaTeX ​ 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
​ LaTeX ​ 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 Rate of Flow
​ LaTeX ​ Go Pressure Gradient = (12*Dynamic Viscosity/(Radial Clearance^3))*((Discharge in Laminar Flow/pi*Diameter of Piston)+Velocity of Piston*0.5*Radial Clearance)
Pressure Drop over Piston
​ LaTeX ​ Go Pressure Drop due to Friction = (6*Dynamic Viscosity*Velocity of Piston*Piston Length/(Radial Clearance^3))*(0.5*Diameter of Piston+Radial Clearance)

Velocity of Flow in Oil Tank Formula

​LaTeX ​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)
uOiltank = (dp|dr*0.5*(R*R-CH*R)/μ)-(vpiston*R/CH)

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 uOiltank 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 (CH), Dynamic Viscosity (μ) & Velocity of Piston (vpiston) 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 uOiltank = (dp|dr*0.5*(R*R-CH*R)/μ)-(vpiston*R/CH) 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 refers to the internal resistance of a fluid to flow when a 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 (CH), Dynamic Viscosity (μ) & Velocity of Piston (vpiston). 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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