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Pressure Gradient given Velocity of Fluid Formula

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Pressure Gradient is the change in pressure with respect to radial distance of element. Check FAQs

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

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

Pressure Gradient given Velocity of Fluid Example

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

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

Here is how the Pressure Gradient given Velocity of Fluid equation looks like.

53.8022 = \frac{12}{0.5 \cdot \frac{0.7 \cdot 0.7 - 50 \cdot 0.7}{10.2}}

53.8022N/m³ = \frac{12m/s}{0.5 \cdot \frac{0.7m \cdot 0.7m - 50mm \cdot 0.7m}{10.2P}}

53.8022 = \frac{12}{0.5 \cdot \frac{0.7 \cdot 0.7 - 50 \cdot 0.7}{10.2}}

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Pressure Gradient given Velocity of Fluid Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

dp|dr = \frac{12m/s}{0.5 \cdot \frac{0.7m \cdot 0.7m - 50mm \cdot 0.7m}{10.2P}}

Next Step Convert Units

∴

dp|dr = \frac{12m/s}{0.5 \cdot \frac{0.7m \cdot 0.7m - 0.05m \cdot 0.7m}{1.02Pa*s}}

Next Step Prepare to Evaluate

∴

dp|dr = \frac{12}{0.5 \cdot \frac{0.7 \cdot 0.7 - 0.05 \cdot 0.7}{1.02}}

Next Step Evaluate

∴

dp|dr = 53.8021978021978N/m³

LAST Step Rounding Answer

∴

dp|dr = 53.8022N/m³

Pressure Gradient given Velocity of Fluid Formula Elements

Variables

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

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

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 Velocity of Fluid

u Oiltank = dp|dr \cdot 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 Pressure Gradient given Velocity of Fluid?

Pressure Gradient given Velocity of Fluid evaluator uses Pressure Gradient = Fluid Velocity in Oil Tank/(0.5*(Horizontal Distance*Horizontal Distance-Hydraulic Clearance*Horizontal Distance)/Dynamic Viscosity) to evaluate the Pressure Gradient, The Pressure Gradient given Velocity of Fluid is defined as change in pressure with respect to distance in pipe. Pressure Gradient is denoted by dp|dr symbol.

How to evaluate Pressure Gradient given Velocity of Fluid using this online evaluator? To use this online evaluator for Pressure Gradient given Velocity of Fluid, enter Fluid Velocity in Oil Tank (u_Oiltank), Horizontal Distance (R), Hydraulic Clearance (C_H) & Dynamic Viscosity (μ) and hit the calculate button.

FAQs on Pressure Gradient given Velocity of Fluid

What is the formula to find Pressure Gradient given Velocity of Fluid?

The formula of Pressure Gradient given Velocity of Fluid is expressed as Pressure Gradient = Fluid Velocity in Oil Tank/(0.5*(Horizontal Distance*Horizontal Distance-Hydraulic Clearance*Horizontal Distance)/Dynamic Viscosity). Here is an example- 1345.055 = 12/(0.5*(0.7*0.7-0.05*0.7)/1.02).

How to calculate Pressure Gradient given Velocity of Fluid?

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

Can the Pressure Gradient given Velocity of Fluid be negative?

Yes, the Pressure Gradient given Velocity of Fluid, measured in Pressure Gradient can be negative.

Which unit is used to measure Pressure Gradient given Velocity of Fluid?

Pressure Gradient given Velocity of Fluid is usually measured using the Newton per Cubic Meter[N/m³] for Pressure Gradient. Newton per Cubic Inch[N/m³], Kilonewton per Cubic Kilometer[N/m³], Newton per Cubic Kilometer[N/m³] are the few other units in which Pressure Gradient given Velocity of Fluid can be measured.

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Pressure Gradient given Velocity of Fluid Formula

Pressure Gradient given Velocity of Fluid Example

Pressure Gradient given Velocity of Fluid Solution

Pressure Gradient given 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 Pressure Gradient given Velocity of Fluid?

FAQs on Pressure Gradient given Velocity of Fluid

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