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Velocity of Fluid Formula

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Fluid Velocity in Oil Tank is the volume of fluid flowing in the given vessel per unit cross sectional area. Check FAQs

u Oiltank = dp|dr \cdot 0.5 \cdot \frac{R \cdot R - C H \cdot R}{μ}

u_Oiltank - Fluid Velocity in Oil Tank?dp|dr - Pressure Gradient?R - Horizontal Distance?C_H - Hydraulic Clearance?μ - Dynamic Viscosity?

Velocity of Fluid Example

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Here is how the Velocity of Fluid equation looks like with Values.

Here is how the Velocity of Fluid equation looks like with Units.

Here is how the Velocity of Fluid equation looks like.

13.3824 = 60 \cdot 0.5 \cdot \frac{0.7 \cdot 0.7 - 50 \cdot 0.7}{10.2}

13.3824m/s = 60N/m³ \cdot 0.5 \cdot \frac{0.7m \cdot 0.7m - 50mm \cdot 0.7m}{10.2P}

13.3824 = 60 \cdot 0.5 \cdot \frac{0.7 \cdot 0.7 - 50 \cdot 0.7}{10.2}

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Velocity of Fluid Solution

Follow our step by step solution on how to calculate Velocity of Fluid?

FIRST Step Consider the formula

u Oiltank = dp|dr \cdot 0.5 \cdot \frac{R \cdot R - C H \cdot R}{μ}

Next Step Substitute values of Variables

∴

u Oiltank = 60N/m³ \cdot 0.5 \cdot \frac{0.7m \cdot 0.7m - 50mm \cdot 0.7m}{10.2P}

Next Step Convert Units

∴

u Oiltank = 60N/m³ \cdot 0.5 \cdot \frac{0.7m \cdot 0.7m - 0.05m \cdot 0.7m}{1.02Pa*s}

Next Step Prepare to Evaluate

∴

u Oiltank = 60 \cdot 0.5 \cdot \frac{0.7 \cdot 0.7 - 0.05 \cdot 0.7}{1.02}

Next Step Evaluate

∴

u Oiltank = 13.3823529411765m/s

LAST Step Rounding Answer

∴

u Oiltank = 13.3824m/s

Velocity of Fluid Formula Elements

Variables

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: u_Oiltank

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Fluid Velocity in Oil Tank

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.

Formulas to find Pressure Gradient

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.

Formulas to find Horizontal Distance

Hydraulic Clearance

Hydraulic Clearance is the gap or space between two surfaces adjacent to each other.

Symbol: C_H

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Hydraulic Clearance

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.

Formulas to find Dynamic Viscosity

Other formulas in When Piston Velocity is Negligible to Average Velocity of Oil in Clearance Space category

Go Pressure Gradient given Velocity of Fluid

dp|dr = \frac{u Oiltank}{0.5 \cdot \frac{R \cdot R - C H \cdot R}{μ}}

Go Dynamic Viscosity given Velocity of Fluid

μ = dp|dr \cdot 0.5 \cdot (\frac{R^{2} - C H \cdot R}{u Fluid})

Go Pressure Drop over Lengths of Piston

ΔPf = (6 \cdot μ \cdot v piston \cdot \frac{L P}{{C R}^{3}}) \cdot (0.5 \cdot D)

Go Dynamic Viscosity for Pressure Drop over Length

μ = \frac{ΔPf}{(6 \cdot v piston \cdot \frac{L P}{{C R}^{3}}) \cdot (0.5 \cdot D)}

How to Evaluate Velocity of Fluid?

Velocity of Fluid evaluator uses Fluid Velocity in Oil Tank = Pressure Gradient*0.5*(Horizontal Distance*Horizontal Distance-Hydraulic Clearance*Horizontal Distance)/Dynamic Viscosity to evaluate 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 evaluate Velocity of Fluid using this online evaluator? To use this online evaluator for Velocity of Fluid, enter Pressure Gradient (dp|dr), Horizontal Distance (R), Hydraulic Clearance (C_H) & Dynamic Viscosity (μ) and hit the calculate button.

FAQs on Velocity of Fluid

What is the formula to find Velocity of Fluid?

The formula of Velocity of Fluid is expressed as Fluid Velocity in Oil Tank = Pressure Gradient*0.5*(Horizontal Distance*Horizontal Distance-Hydraulic Clearance*Horizontal Distance)/Dynamic Viscosity. Here is an example- 13.38235 = 60*0.5*(0.7*0.7-0.05*0.7)/1.02.

How to calculate Velocity of Fluid?

With Pressure Gradient (dp|dr), Horizontal Distance (R), Hydraulic Clearance (C_H) & Dynamic Viscosity (μ) we can find Velocity of Fluid using the formula - Fluid Velocity in Oil Tank = Pressure Gradient*0.5*(Horizontal Distance*Horizontal Distance-Hydraulic Clearance*Horizontal Distance)/Dynamic Viscosity.

Can the Velocity of Fluid be negative?

Yes, the Velocity of Fluid, measured in Speed can be negative.

Which unit is used to measure Velocity of Fluid?

Velocity of Fluid 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 Fluid can be measured.

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Velocity of Fluid Formula

Velocity of Fluid Example

Velocity of Fluid Solution

Velocity of Fluid Formula Elements

Other formulas in When Piston Velocity is Negligible to Average Velocity of Oil in Clearance Space category

How to Evaluate Velocity of Fluid?

FAQs on Velocity of Fluid

Variable Name