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Pressure Gradient given Velocity of Fluid Calculator

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When Piston Velocity is Negligible to Average Velocity of Oil in Clearance Space Dynamic Viscosity Velocity of Piston

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When Shear Force is Negligible

✖Fluid Velocity in Oil Tank is the volume of fluid flowing in the given vessel per unit cross sectional area.ⓘ Fluid Velocity in Oil Tank [u_Oiltank]			+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 refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity [μ]			+10% -10%

✖Pressure Gradient is the change in pressure with respect to radial distance of element.ⓘ Pressure Gradient given Velocity of Fluid [dp|dr]

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Pressure Gradient given Velocity of Fluid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure Gradient = Fluid Velocity in Oil Tank/(0.5*(Horizontal Distance*Horizontal Distance-Hydraulic Clearance*Horizontal Distance)/Dynamic Viscosity)
dp|dr = u_Oiltank/(0.5*(R*R-C_H*R)/μ)
This formula uses 5 Variables

Variables Used

Pressure Gradient - (Measured in Newton per Cubic Meter) - Pressure Gradient is the change in pressure with respect to radial distance of element.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Fluid Velocity in Oil Tank: 12 Meter per Second --> 12 Meter per Second 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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

dp|dr = u_Oiltank/(0.5*(R*R-C_H*R)/μ) --> 12/(0.5*(0.7*0.7-0.05*0.7)/1.02)

Evaluating ... ...

dp|dr = 53.8021978021978

STEP 3: Convert Result to Output's Unit

53.8021978021978 Newton per Cubic Meter --> No Conversion Required

FINAL ANSWER

53.8021978021978 ≈ 53.8022 Newton per Cubic Meter <-- Pressure Gradient

(Calculation completed in 00.004 seconds)

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< When Piston Velocity is Negligible to Average Velocity of Oil in Clearance Space Calculators

Pressure Gradient given Velocity of Fluid

LaTeX Go Pressure Gradient = Fluid Velocity in Oil Tank/(0.5*(Horizontal Distance*Horizontal Distance-Hydraulic Clearance*Horizontal Distance)/Dynamic Viscosity)

Velocity of Fluid

LaTeX Go Fluid Velocity in Oil Tank = Pressure Gradient*0.5*(Horizontal Distance*Horizontal Distance-Hydraulic Clearance*Horizontal Distance)/Dynamic Viscosity

Pressure Drop over Lengths of Piston

LaTeX Go Pressure Drop due to Friction = (6*Dynamic Viscosity*Velocity of Piston*Piston Length/(Radial Clearance^3))*(0.5*Diameter of Piston)

Dynamic Viscosity given Velocity of Fluid

LaTeX Go Dynamic Viscosity = Pressure Gradient*0.5*((Horizontal Distance^2-Hydraulic Clearance*Horizontal Distance)/Fluid Velocity)

Pressure Gradient given Velocity of Fluid Formula

LaTeX Go

Pressure Gradient = Fluid Velocity in Oil Tank/(0.5*(Horizontal Distance*Horizontal Distance-Hydraulic Clearance*Horizontal Distance)/Dynamic Viscosity)
dp|dr = u_Oiltank/(0.5*(R*R-C_H*R)/μ)

What is Pressure Gradient?

Pressure gradient is a physical quantity that describes in which direction and at what rate the pressure increases the most rapidly around a particular location. The pressure gradient is a dimensional quantity expressed in units of pascals per metre.

How to Calculate Pressure Gradient given Velocity of Fluid?

Pressure Gradient given Velocity of Fluid calculator uses Pressure Gradient = Fluid Velocity in Oil Tank/(0.5*(Horizontal Distance*Horizontal Distance-Hydraulic Clearance*Horizontal Distance)/Dynamic Viscosity) to calculate 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 calculate Pressure Gradient given Velocity of Fluid using this online calculator? To use this online calculator 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. Here is how the Pressure Gradient given Velocity of Fluid calculation can be explained with given input values -> 1345.055 = 12/(0.5*(0.7*0.7-0.05*0.7)/1.02).

FAQ

What is Pressure Gradient given Velocity of Fluid?

The Pressure Gradient given Velocity of Fluid is defined as change in pressure with respect to distance in pipe and is represented as dp|dr = u_Oiltank/(0.5*(R*R-C_H*R)/μ) or Pressure Gradient = Fluid Velocity in Oil Tank/(0.5*(Horizontal Distance*Horizontal Distance-Hydraulic Clearance*Horizontal Distance)/Dynamic Viscosity). Fluid Velocity in Oil Tank is the volume of fluid flowing in the given vessel per unit cross sectional area, 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.

How to calculate Pressure Gradient given Velocity of Fluid?

The Pressure Gradient given Velocity of Fluid is defined as change in pressure with respect to distance in pipe is calculated using Pressure Gradient = Fluid Velocity in Oil Tank/(0.5*(Horizontal Distance*Horizontal Distance-Hydraulic Clearance*Horizontal Distance)/Dynamic Viscosity). To calculate Pressure Gradient given Velocity of Fluid, you need Fluid Velocity in Oil Tank (u_Oiltank), Horizontal Distance (R), Hydraulic Clearance (C_H) & Dynamic Viscosity (μ). With our tool, you need to enter the respective value for Fluid Velocity in Oil Tank, Horizontal Distance, Hydraulic Clearance & Dynamic Viscosity 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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