FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Pressure Gradient given Velocity of Flow in Oil Tank Formula

GoPressure Gradient given Rate of Flow Formula

Fx Copy

LaTeX Copy

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

dp|dr = \frac{μ \cdot 2 \cdot (u Oiltank - (v piston \cdot \frac{R}{C H}))}{R \cdot R - C H \cdot R}

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

Pressure Gradient given Velocity of Flow in Oil Tank Example

With values

With units

Only example

Here is how the Pressure Gradient given Velocity of Flow in Oil Tank equation looks like with Values.

Here is how the Pressure Gradient given Velocity of Flow in Oil Tank equation looks like with Units.

Here is how the Pressure Gradient given Velocity of Flow in Oil Tank equation looks like.

50.9776 = \frac{10.2 \cdot 2 \cdot (12 - (0.045 \cdot \frac{0.7}{50}))}{0.7 \cdot 0.7 - 50 \cdot 0.7}

50.9776N/m³ = \frac{10.2P \cdot 2 \cdot (12m/s - (0.045m/s \cdot \frac{0.7m}{50mm}))}{0.7m \cdot 0.7m - 50mm \cdot 0.7m}

50.9776 = \frac{10.2 \cdot 2 \cdot (12 - (0.045 \cdot \frac{0.7}{50}))}{0.7 \cdot 0.7 - 50 \cdot 0.7}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Hydraulics and Waterworks » fx Pressure Gradient given Velocity of Flow in Oil Tank

Pressure Gradient given Velocity of Flow in Oil Tank Solution

Follow our step by step solution on how to calculate Pressure Gradient given Velocity of Flow in Oil Tank?

FIRST Step Consider the formula

dp|dr = \frac{μ \cdot 2 \cdot (u Oiltank - (v piston \cdot \frac{R}{C H}))}{R \cdot R - C H \cdot R}

Next Step Substitute values of Variables

∴

dp|dr = \frac{10.2P \cdot 2 \cdot (12m/s - (0.045m/s \cdot \frac{0.7m}{50mm}))}{0.7m \cdot 0.7m - 50mm \cdot 0.7m}

Next Step Convert Units

∴

dp|dr = \frac{1.02Pa*s \cdot 2 \cdot (12m/s - (0.045m/s \cdot \frac{0.7m}{0.05m}))}{0.7m \cdot 0.7m - 0.05m \cdot 0.7m}

Next Step Prepare to Evaluate

∴

dp|dr = \frac{1.02 \cdot 2 \cdot (12 - (0.045 \cdot \frac{0.7}{0.05}))}{0.7 \cdot 0.7 - 0.05 \cdot 0.7}

Next Step Evaluate

∴

dp|dr = 50.9775824175824N/m³

LAST Step Rounding Answer

∴

dp|dr = 50.9776N/m³

Pressure Gradient given Velocity of Flow in Oil Tank 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

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

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

Velocity of Piston

Velocity of piston in reciprocating pump is defined as the product of sin of angular velocity and time, radius of crank and angular velocity.

Symbol: v_piston

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Velocity of Piston

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

Other Formulas to find Pressure Gradient

Go Pressure Gradient given Rate of Flow

dp|dr = (12 \cdot \frac{μ}{{C R}^{3}}) \cdot ((\frac{Q}{π} \cdot D) + v piston \cdot 0.5 \cdot C R)

Other formulas in Dash Pot Mechanism category

Go Velocity of Flow in Oil Tank

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

Go Pressure Drop over Piston

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

Go Length of Piston for Pressure Drop over Piston

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

Go Pressure Drop over Length of Piston given Vertical Upward Force on Piston

ΔPf = \frac{F v}{0.25 \cdot π \cdot D \cdot D}

How to Evaluate Pressure Gradient given Velocity of Flow in Oil Tank?

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

FAQs on Pressure Gradient given Velocity of Flow in Oil Tank

What is the formula to find Pressure Gradient given Velocity of Flow in Oil Tank?

The formula of Pressure Gradient given Velocity of Flow in Oil Tank is expressed as 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). Here is an example- 1342.23 = (1.02*2*(12-(0.045*0.7/0.05)))/(0.7*0.7-0.05*0.7).

How to calculate Pressure Gradient given Velocity of Flow in Oil Tank?

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

What are the other ways to Calculate Pressure Gradient?

Here are the different ways to Calculate Pressure Gradient-

Pressure Gradient=(12*Dynamic Viscosity/(Radial Clearance^3))*((Discharge in Laminar Flow/pi*Diameter of Piston)+Velocity of Piston*0.5*Radial Clearance)

Can the Pressure Gradient given Velocity of Flow in Oil Tank be negative?

Yes, the Pressure Gradient given Velocity of Flow in Oil Tank, measured in Pressure Gradient can be negative.

Which unit is used to measure Pressure Gradient given Velocity of Flow in Oil Tank?

Pressure Gradient given Velocity of Flow in Oil Tank 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 Flow in Oil Tank can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Pressure Gradient given Velocity of Flow in Oil Tank Formula

​GoPressure Gradient given Rate of Flow Formula

Pressure Gradient given Velocity of Flow in Oil Tank Example

Pressure Gradient given Velocity of Flow in Oil Tank Solution

Pressure Gradient given Velocity of Flow in Oil Tank Formula Elements

Other Formulas to find Pressure Gradient

Other formulas in Dash Pot Mechanism category

How to Evaluate Pressure Gradient given Velocity of Flow in Oil Tank?

FAQs on Pressure Gradient given Velocity of Flow in Oil Tank

Variable Name

GoPressure Gradient given Rate of Flow Formula