Pressure Gradient given Flow Velocity Calculator

✖Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.ⓘ Mean Velocity [V_mean]			+10% -10%
✖Horizontal Distance denotes the instantaneous horizontal distance cover by an object in a projectile motion.ⓘ Horizontal Distance [R]			+10% -10%
✖Width is the measurement or extent of something from side to side.ⓘ Width [w]			+10% -10%
✖Flow Velocity is the velocity of the flow of any fluid.ⓘ Flow velocity [V_f]			+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%

✖The Pressure Gradient refers to the rate of change of pressure in a particular direction indicating how quickly the pressure increases or decreases around a specific location.ⓘ Pressure Gradient given Flow Velocity [dp|dr]

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Formula

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Pressure Gradient given Flow Velocity

Formula

dp|dr = \frac{(V mean \cdot \frac{R}{w}) - V f}{(\frac{0.5 \cdot (w \cdot R - R^{2})}{μ})}

Example

8.696269 N/m³ = \frac{(10.1 m/s \cdot \frac{04 m}{2.29 m}) - 46.8 m/s}{(\frac{0.5 \cdot (2.29 m \cdot 04 m - {04 m}^{2})}{10.2 P})}

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Pressure Gradient given Flow Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure Gradient = ((Mean Velocity*Horizontal Distance/Width)-Flow velocity)/(((0.5*(Width*Horizontal Distance-Horizontal Distance^2))/Dynamic Viscosity))
dp|dr = ((V_mean*R/w)-V_f)/(((0.5*(w*R-R^2))/μ))
This formula uses 6 Variables

Variables Used

Pressure Gradient - (Measured in Newton per Cubic Meter) - The Pressure Gradient refers to the rate of change of pressure in a particular direction indicating how quickly the pressure increases or decreases around a specific location.
Mean Velocity - (Measured in Meter per Second) - Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.
Horizontal Distance - (Measured in Meter) - Horizontal Distance denotes the instantaneous horizontal distance cover by an object in a projectile motion.
Width - (Measured in Meter) - Width is the measurement or extent of something from side to side.
Flow velocity - (Measured in Meter per Second) - Flow Velocity is the velocity of the flow of any fluid.
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

Mean Velocity: 10.1 Meter per Second --> 10.1 Meter per Second No Conversion Required
Horizontal Distance: 4 Meter --> 4 Meter No Conversion Required
Width: 2.29 Meter --> 2.29 Meter No Conversion Required
Flow velocity: 46.8 Meter per Second --> 46.8 Meter per Second No Conversion Required
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

dp|dr = ((V_mean*R/w)-V_f)/(((0.5*(w*R-R^2))/μ)) --> ((10.1*4/2.29)-46.8)/(((0.5*(2.29*4-4^2))/1.02))

Evaluating ... ...

dp|dr = 8.69626905692178

STEP 3: Convert Result to Output's Unit

8.69626905692178 Newton per Cubic Meter --> No Conversion Required

FINAL ANSWER

8.69626905692178 ≈ 8.696269 Newton per Cubic Meter <-- Pressure Gradient

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Laminar Flow » Laminar Flow between Parallel Flat Plates, one plate moving and other at rest, Couette Flow » Pressure Gradient given Flow Velocity

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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Birsa Institute of Technology (BIT), Sindri

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< Laminar Flow between Parallel Flat Plates, one plate moving and other at rest, Couette Flow Calculators

Dynamic Viscosity given Flow Velocity

Go Dynamic Viscosity = ((0.5*Pressure Gradient*(Distance between plates*Horizontal Distance-Horizontal Distance^2)))/((Mean Velocity*Horizontal Distance/Width)-Flow velocity)

Flow Velocity of Section

Go Flow velocity = (Mean Velocity*Horizontal Distance/Width)-(0.5*Pressure Gradient*(Distance between plates*Horizontal Distance-Horizontal Distance^2))/Dynamic Viscosity

Pressure Gradient given Flow Velocity

Go Pressure Gradient = ((Mean Velocity*Horizontal Distance/Width)-Flow velocity)/(((0.5*(Width*Horizontal Distance-Horizontal Distance^2))/Dynamic Viscosity))

Mean Velocity of Flow given Flow Velocity

Go Flow velocity = (Mean Velocity*Horizontal Distance/Width)-(0.5*Pressure Gradient*(Width*Horizontal Distance-Horizontal Distance^2))/Dynamic Viscosity

Pressure Gradient given Flow Velocity Formula

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 Flow Velocity?

Pressure Gradient given Flow Velocity calculator uses Pressure Gradient = ((Mean Velocity*Horizontal Distance/Width)-Flow velocity)/(((0.5*(Width*Horizontal Distance-Horizontal Distance^2))/Dynamic Viscosity)) to calculate the Pressure Gradient, The Pressure Gradient given Flow Velocity formula is defined as the change in pressure per unit distance along the flow direction, it drives fluid flow from high to low pressure. Pressure Gradient is denoted by dp|dr symbol.

How to calculate Pressure Gradient given Flow Velocity using this online calculator? To use this online calculator for Pressure Gradient given Flow Velocity, enter Mean Velocity (V_mean), Horizontal Distance (R), Width (w), Flow velocity (V_f) & Dynamic Viscosity (μ) and hit the calculate button. Here is how the Pressure Gradient given Flow Velocity calculation can be explained with given input values -> 17 = ((10.1*4/2.29)-46.8)/(((0.5*(2.29*4-4^2))/1.02)).

FAQ

What is Pressure Gradient given Flow Velocity?

The Pressure Gradient given Flow Velocity formula is defined as the change in pressure per unit distance along the flow direction, it drives fluid flow from high to low pressure and is represented as dp|dr = ((V_mean*R/w)-V_f)/(((0.5*(w*R-R^2))/μ)) or Pressure Gradient = ((Mean Velocity*Horizontal Distance/Width)-Flow velocity)/(((0.5*(Width*Horizontal Distance-Horizontal Distance^2))/Dynamic Viscosity)). Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T, Horizontal Distance denotes the instantaneous horizontal distance cover by an object in a projectile motion, Width is the measurement or extent of something from side to side, Flow Velocity is the velocity of the flow of any fluid & The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.

How to calculate Pressure Gradient given Flow Velocity?

The Pressure Gradient given Flow Velocity formula is defined as the change in pressure per unit distance along the flow direction, it drives fluid flow from high to low pressure is calculated using Pressure Gradient = ((Mean Velocity*Horizontal Distance/Width)-Flow velocity)/(((0.5*(Width*Horizontal Distance-Horizontal Distance^2))/Dynamic Viscosity)). To calculate Pressure Gradient given Flow Velocity, you need Mean Velocity (V_mean), Horizontal Distance (R), Width (w), Flow velocity (V_f) & Dynamic Viscosity (μ). With our tool, you need to enter the respective value for Mean Velocity, Horizontal Distance, Width, Flow velocity & Dynamic Viscosity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Pressure Gradient?

In this formula, Pressure Gradient uses Mean Velocity, Horizontal Distance, Width, Flow velocity & Dynamic Viscosity. We can use 1 other way(s) to calculate the same, which is/are as follows -

Pressure Gradient = ((Dynamic Viscosity*Mean Velocity/Distance between plates)-Shear Stress)/(0.5*Distance between plates-Horizontal Distance)

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